Lakshmikantham, V. 1926
Overview
Works:  120 works in 659 publications in 3 languages and 16,689 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA371, 515.35 
Publication Timeline
.
Most widely held works by
V Lakshmikantham
Differential and integral inequalities; theory and applications by
V Lakshmikantham(
Book
)
67 editions published between 1969 and 1999 in 3 languages and held by 712 WorldCat member libraries worldwide
Differential and integral inequalities; theory and applications PART A: Ordinary differential equations
67 editions published between 1969 and 1999 in 3 languages and held by 712 WorldCat member libraries worldwide
Differential and integral inequalities; theory and applications PART A: Ordinary differential equations
Theory of difference equations : numerical methods and applications by
V Lakshmikantham(
Book
)
34 editions published between 1987 and 2002 in 3 languages and held by 670 WorldCat member libraries worldwide
"Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus. Explores classical problems such as orthological polynomials, the Euclidean algorithm, roots of polynomials, and wellconditioning."
34 editions published between 1987 and 2002 in 3 languages and held by 670 WorldCat member libraries worldwide
"Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus. Explores classical problems such as orthological polynomials, the Euclidean algorithm, roots of polynomials, and wellconditioning."
Nonlinear equations in abstract spaces by
V Lakshmikantham(
Book
)
42 editions published between 1977 and 2014 in English and Undetermined and held by 656 WorldCat member libraries worldwide
Many problems in partial differential equations which arise from physical models can be considered as ordinary differential equations in appropriate infinite dimensional spaces, for which elegant theories and powerful techniques have recently been developed. This book gives a detailed account of the current state of the theory of nonlinear differential equations in a Banach space, and discusses existence theory for differential equations with continuous and discontinuous righthand sides. Of special importance is the first systematic presentation of the very important and complex theory of multivalued discontinuous differential equations
42 editions published between 1977 and 2014 in English and Undetermined and held by 656 WorldCat member libraries worldwide
Many problems in partial differential equations which arise from physical models can be considered as ordinary differential equations in appropriate infinite dimensional spaces, for which elegant theories and powerful techniques have recently been developed. This book gives a detailed account of the current state of the theory of nonlinear differential equations in a Banach space, and discusses existence theory for differential equations with continuous and discontinuous righthand sides. Of special importance is the first systematic presentation of the very important and complex theory of multivalued discontinuous differential equations
Stability analysis of nonlinear systems by
V Lakshmikantham(
Book
)
30 editions published between 1989 and 2015 in English and held by 536 WorldCat member libraries worldwide
The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. Furthermore it discusses the application of theoretical results to several different models chosen from real world phenomena, furnishing data that is particularly relevant for practitioners. Stability Analysis of Nonlinear Systems is an invaluable singlesourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations
30 editions published between 1989 and 2015 in English and held by 536 WorldCat member libraries worldwide
The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. Furthermore it discusses the application of theoretical results to several different models chosen from real world phenomena, furnishing data that is particularly relevant for practitioners. Stability Analysis of Nonlinear Systems is an invaluable singlesourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations
Differential equations in abstract spaces by
G. E Ladas(
Book
)
18 editions published in 1972 in English and held by 475 WorldCat member libraries worldwide
Differential equations in abstract spaces
18 editions published in 1972 in English and held by 475 WorldCat member libraries worldwide
Differential equations in abstract spaces
An introduction to nonlinear boundary value problems by
Stephen R Bernfeld(
Book
)
17 editions published between 1973 and 1974 in English and held by 455 WorldCat member libraries worldwide
An introduction to nonlinear boundary value problems
17 editions published between 1973 and 1974 in English and held by 455 WorldCat member libraries worldwide
An introduction to nonlinear boundary value problems
Random differential inequalities by
G. S Ladde(
Book
)
15 editions published in 1980 in English and Undetermined and held by 348 WorldCat member libraries worldwide
15 editions published in 1980 in English and Undetermined and held by 348 WorldCat member libraries worldwide
Nonlinear systems and applications : an international conference by
V Lakshmikantham(
Book
)
22 editions published between 1977 and 2014 in English and Undetermined and held by 333 WorldCat member libraries worldwide
Nonlinear Systems and Applications
22 editions published between 1977 and 2014 in English and Undetermined and held by 333 WorldCat member libraries worldwide
Nonlinear Systems and Applications
Applied nonlinear analysis : proceedings of an International Conference on Applied Nonlinear Analysis, held at the University
of Texas at Arlington, Arlington, Texas, April 2022, 1978 by
V Lakshmikantham(
Book
)
22 editions published between 1979 and 2014 in English and Undetermined and held by 306 WorldCat member libraries worldwide
Invented address and research reports; Contributed papers
22 editions published between 1979 and 2014 in English and Undetermined and held by 306 WorldCat member libraries worldwide
Invented address and research reports; Contributed papers
Trends in theory and practice of nonlinear differential equations by
V Lakshmikantham(
Book
)
14 editions published between 1983 and 1984 in English and held by 281 WorldCat member libraries worldwide
14 editions published between 1983 and 1984 in English and held by 281 WorldCat member libraries worldwide
Oscillation theory of differential equations with deviating arguments by
G. S Ladde(
Book
)
9 editions published in 1987 in English and held by 279 WorldCat member libraries worldwide
9 editions published in 1987 in English and held by 279 WorldCat member libraries worldwide
Nonlinear analysis and applications(
Book
)
14 editions published in 1987 in English and held by 268 WorldCat member libraries worldwide
In summary, this book attempts to put together the works of a wide range of mathematical scientists. The problems are both theoretical as well as computational, deterministic as well as stochastic and the models include differential equations with and without delay, as well as Volterra integral and integrodifferential equations. Keywords: Optimization; Navier Stokes equations; Applied mathematics; Stability; Bifurcation; Finite element analysis; Iterations
14 editions published in 1987 in English and held by 268 WorldCat member libraries worldwide
In summary, this book attempts to put together the works of a wide range of mathematical scientists. The problems are both theoretical as well as computational, deterministic as well as stochastic and the models include differential equations with and without delay, as well as Volterra integral and integrodifferential equations. Keywords: Optimization; Navier Stokes equations; Applied mathematics; Stability; Bifurcation; Finite element analysis; Iterations
Nonlinear phenomena in mathematical sciences by
V Lakshmikantham(
Book
)
21 editions published between 1982 and 2014 in English and Undetermined and held by 219 WorldCat member libraries worldwide
Nonlinear Phenomena in Mathematical Sciences
21 editions published between 1982 and 2014 in English and Undetermined and held by 219 WorldCat member libraries worldwide
Nonlinear Phenomena in Mathematical Sciences
Trends in the theory and practice of nonlinear analysis : proceedings of the VIth International Conference on Trends in the
Theory and Practice of NonLinear Analysis held at the University of Texas at Arlington, June 1822, 1984 by
Unknown(
Book
)
17 editions published in 1985 in English and held by 215 WorldCat member libraries worldwide
Trends in the theory and practice of nonlinear analysis
17 editions published in 1985 in English and held by 215 WorldCat member libraries worldwide
Trends in the theory and practice of nonlinear analysis
Nonlinear problems in abstract cones by
Dajun Guo(
Book
)
9 editions published in 1988 in English and Undetermined and held by 195 WorldCat member libraries worldwide
9 editions published in 1988 in English and Undetermined and held by 195 WorldCat member libraries worldwide
Computational error and complexity in science and engineering by
V Lakshmikantham(
Book
)
13 editions published in 2005 in English and held by 189 WorldCat member libraries worldwide
The book Computational Error and Complexity in Science and Engineering pervades all the science and engineering disciplines where computation occurs. Scientific and engineering computation happens to be the interface between the mathematical model/problem and the real world application. One needs to obtain good quality numerical values for any realworld implementation. Just mathematical quantities symbols are of no use to engineers/technologists. Computational complexity of the numerical method to solve the mathematical model, also computed along with the solution, on the other hand, will tell us how much computation/computational effort has been spent to achieve that quality of result. Anyone who wants the specified physical problem to be solved has every right to know the quality of the solution as well as the resources spent for the solution. The computed error as well as the complexity provide the scientific convincing answer to these questions. Specifically some of the disciplines in which the book will be readily useful are (i) Computational Mathematics, (ii) Applied Mathematics/Computational Engineering, Numerical and Computational Physics, Simulation and Modelling. Operations Research (both deterministic and stochastic), Computing Methodologies, Computer Applications, and Numerical Methods in Engineering. Key Features:  Describes precisely readytouse computational error and complexity  Includes simple easytograsp examples wherever necessary.  Presents error and complexity in errorfree, parallel, and probabilistic methods.  Discusses deterministic and probabilistic methods with error and complexity.  Points out the scope and limitation of mathematical errorbounds.  Provides a comprehensive uptodate bibliography after each chapter. Describes precisely readytouse computational error and complexity Includes simple easytograsp examples wherever necessary. Presents error and complexity in errorfree, parallel, and probabilistic methods. Discusses deterministic and probabilistic methods with error and complexity. Points out the scope and limitation of mathematical errorbounds. Provides a comprehensive uptodate bibliography after each chapter
13 editions published in 2005 in English and held by 189 WorldCat member libraries worldwide
The book Computational Error and Complexity in Science and Engineering pervades all the science and engineering disciplines where computation occurs. Scientific and engineering computation happens to be the interface between the mathematical model/problem and the real world application. One needs to obtain good quality numerical values for any realworld implementation. Just mathematical quantities symbols are of no use to engineers/technologists. Computational complexity of the numerical method to solve the mathematical model, also computed along with the solution, on the other hand, will tell us how much computation/computational effort has been spent to achieve that quality of result. Anyone who wants the specified physical problem to be solved has every right to know the quality of the solution as well as the resources spent for the solution. The computed error as well as the complexity provide the scientific convincing answer to these questions. Specifically some of the disciplines in which the book will be readily useful are (i) Computational Mathematics, (ii) Applied Mathematics/Computational Engineering, Numerical and Computational Physics, Simulation and Modelling. Operations Research (both deterministic and stochastic), Computing Methodologies, Computer Applications, and Numerical Methods in Engineering. Key Features:  Describes precisely readytouse computational error and complexity  Includes simple easytograsp examples wherever necessary.  Presents error and complexity in errorfree, parallel, and probabilistic methods.  Discusses deterministic and probabilistic methods with error and complexity.  Points out the scope and limitation of mathematical errorbounds.  Provides a comprehensive uptodate bibliography after each chapter. Describes precisely readytouse computational error and complexity Includes simple easytograsp examples wherever necessary. Presents error and complexity in errorfree, parallel, and probabilistic methods. Discusses deterministic and probabilistic methods with error and complexity. Points out the scope and limitation of mathematical errorbounds. Provides a comprehensive uptodate bibliography after each chapter
Monotone iterative techniques for discontinuous nonlinear differential equations by
Seppo Heikkilä(
Book
)
11 editions published in 1994 in English and held by 189 WorldCat member libraries worldwide
11 editions published in 1994 in English and held by 189 WorldCat member libraries worldwide
Theory of causal differential equations by
V Lakshmikantham(
Book
)
13 editions published between 2009 and 2010 in English and held by 80 WorldCat member libraries worldwide
The theory of causal differential equations (CDE) includes several types of dynamic systems such as ordinary differential equations, functional differential equations, integrodifferential equations (with or without memory), differential equations with anticipation and retardation. This is the first book which describes the theory of CDE as an independent discipline, incorporating the recent general theory of CDE and introducing several new ideas. This book is a timely introduction to the subject in a more generalised frame work. The present monograph collects recent works in this broad area and provides possible extensions to other dynamic systems involving causal operators such as CDE in abstract spaces, CDE with memory, CDE with fractional derivatives and causal set differential equationsgiving initial apparatus, for further study in this important branch of nonlinear analysis
13 editions published between 2009 and 2010 in English and held by 80 WorldCat member libraries worldwide
The theory of causal differential equations (CDE) includes several types of dynamic systems such as ordinary differential equations, functional differential equations, integrodifferential equations (with or without memory), differential equations with anticipation and retardation. This is the first book which describes the theory of CDE as an independent discipline, incorporating the recent general theory of CDE and introducing several new ideas. This book is a timely introduction to the subject in a more generalised frame work. The present monograph collects recent works in this broad area and provides possible extensions to other dynamic systems involving causal operators such as CDE in abstract spaces, CDE with memory, CDE with fractional derivatives and causal set differential equationsgiving initial apparatus, for further study in this important branch of nonlinear analysis
The hybrid grand unified theory by
V Lakshmikantham(
Book
)
12 editions published in 2009 in English and held by 71 WorldCat member libraries worldwide
In this book, an attempt is made to provide a hybrid grand unified theory to understand the universe, both in its micro/quantum aspects as well as macro/galactic aspects. The book describes a truly hybrid theory as it encompasses both the modern and ancient theories of the universe, together with its functioning at all levels of human comprehension. One of its authors, Dr Escultura, was nominated in 2005 for a Nobel Prize for his flux theory of gravitation. From then on this theory has been improved, clarified and is now known as the hybrid grand unified theory. This book deals with this new bold theory, unifying mathematics and physics, and answering some open fundamental questions and paradoxes in these disciplines. The book also describes what the ancient scientists knew about these matters
12 editions published in 2009 in English and held by 71 WorldCat member libraries worldwide
In this book, an attempt is made to provide a hybrid grand unified theory to understand the universe, both in its micro/quantum aspects as well as macro/galactic aspects. The book describes a truly hybrid theory as it encompasses both the modern and ancient theories of the universe, together with its functioning at all levels of human comprehension. One of its authors, Dr Escultura, was nominated in 2005 for a Nobel Prize for his flux theory of gravitation. From then on this theory has been improved, clarified and is now known as the hybrid grand unified theory. This book deals with this new bold theory, unifying mathematics and physics, and answering some open fundamental questions and paradoxes in these disciplines. The book also describes what the ancient scientists knew about these matters
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Related Identities
 Leela, S. Author
 Ladde, G. S. Author
 Bernfeld, Stephen R. Author
 Ladas, G. E. Author
 Leela, S. Author
 Trigiante, D.
 University of Texas at Arlington
 Martyni︠u︡k, A. A. (Anatoliĭ Andreevich) Author
 Heikkilä, Seppo Author
 United States Army Research Office
Associated Subjects
Approximation theory Banach spaces Boundary value problems Calculus, Integral Computational complexity Computer algorithms Computer engineering Cones (Operator theory) Control theory Difference equations Differential calculus Differential equations Differential equations, Nonlinear Differential equations, NonlinearNumerical solutions Differential equations, Partial Differential inequalities Dynamics EngineeringData processing Engineering mathematics Ergodic theory Error analysis (Mathematics) Fixed point theory Functional analysis Grand unified theories (Nuclear physics) Inequalities (Mathematics) Integral equations Iterative methods (Mathematics) Lyapunov functions Mathematical analysis Mathematical physics Mathematics Nonlinear boundary value problems Nonlinear functional analysis Nonlinear integral equations Nonlinear operators Nonlinear systems Nonlinear theories Numerical analysis Operator theory Oscillations ScienceData processing Stability Stochastic differential equations System analysis System analysisMathematical models System theory Volterra equationsNumerical solutions
Alternative Names
Lakshmikantam, V. 1926
Lakshmikantam, V. (Vandzhipuram), 1926
Lakshmikantam, Vandzhipuram 1926
Lakshmikantham, V.
Lakshmikantham, V. 1926
Lakshmikantham, V. (Vangipuram), 1926
Lakshmikantham, Vangipuram 1926
Lakšmikantam, V.
Lakšmikantam, Vandžipuram.
Vandzhipuram Lakshmikantham 1926....
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