WorldCat Identities

Lakshmikantham, V. 1926-

Overview
Works: 126 works in 677 publications in 3 languages and 17,347 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 )

61 editions published between 1969 and 1999 in 3 languages and held by 688 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 )

37 editions published between 1987 and 2002 in 3 languages and held by 680 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 well-conditioning."
Differential equations in abstract spaces by G. E Ladas( Book )

19 editions published in 1972 in English and held by 482 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 457 WorldCat member libraries worldwide

An introduction to nonlinear boundary value problems
Random differential inequalities by G. S Ladde( Book )

16 editions published in 1980 in English and Undetermined and held by 345 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
Applied nonlinear analysis : proceedings of an International Conference on Applied Nonlinear Analysis, held at the University of Texas at Arlington, Arlington, Texas, April 20-22, 1978 by V Lakshmikantham( Book )

22 editions published between 1979 and 2014 in English and Undetermined and held by 308 WorldCat member libraries worldwide

Invented address and research reports; Contributed papers
Stability analysis of nonlinear systems by V Lakshmikantham( Book )

22 editions published between 1989 and 2015 in English and held by 307 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 single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations.--[Source inconnue]
Nonlinear equations in abstract spaces by V Lakshmikantham( Book )

19 editions published between 1977 and 2014 in English and Undetermined and held by 297 WorldCat member libraries worldwide

Nonlinear Equations in Abstract Spaces
Oscillation theory of differential equations with deviating arguments by G. S Ladde( Book )

9 editions published in 1987 in English and held by 282 WorldCat member libraries worldwide

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

Nonlinear analysis and applications( Book )

15 editions published in 1987 in English and held by 272 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 integro-differential equations. Keywords: Optimization; Navier Stokes equations; Applied mathematics; Stability; Bifurcation; Finite element analysis; Iterations
Vector Lyapunov functions and stability analysis of nonlinear systems by V Lakshmikantham( Book )

13 editions published between 1991 and 2010 in English and held by 238 WorldCat member libraries worldwide

One service mathematics has rendered the 'Et moi, "', si j'avait su comment en revenir, je n'y serais point all".' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics . .'; 'One service logic has rendered com puter science . .'; 'One service category theory has rendered mathematics . .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series
Nonlinear phenomena in mathematical sciences by V Lakshmikantham( Book )

21 editions published between 1982 and 2014 in English and Undetermined and held by 220 WorldCat member libraries worldwide

Nonlinear Phenomena in Mathematical Sciences
Trends in the theory and practice of non-linear analysis : proceedings of the VIth International Conference on Trends in the Theory and Practice of Non-Linear Analysis held at the University of Texas at Arlington, June 18-22, 1984 by Unknown( Book )

18 editions published in 1985 in English and held by 218 WorldCat member libraries worldwide

Proceedings of the VIth International Conference on Trends in the Theory and Practice of Non-Linear Analysis held at the University of Texas at Arlington, June 18-22, 1984
Nonlinear problems in abstract cones by Dajun Guo( Book )

9 editions published in 1988 in English and Undetermined and held by 197 WorldCat member libraries worldwide

Monotone iterative techniques for discontinuous nonlinear differential equations by Seppo Heikkilä( Book )

11 editions published in 1994 in English and held by 193 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 real-world 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 ready-to-use computational error and complexity - Includes simple easy-to-grasp examples wherever necessary. - Presents error and complexity in error-free, parallel, and probabilistic methods. - Discusses deterministic and probabilistic methods with error and complexity. - Points out the scope and limitation of mathematical error-bounds. - Provides a comprehensive up-to-date bibliography after each chapter. Describes precisely ready-to-use computational error and complexity Includes simple easy-to-grasp examples wherever necessary. Presents error and complexity in error-free, parallel, and probabilistic methods. Discusses deterministic and probabilistic methods with error and complexity. Points out the scope and limitation of mathematical error-bounds. Provides a comprehensive up-to-date bibliography after each chapter
Theory of causal differential equations by V Lakshmikantham( Book )

14 editions published between 2009 and 2010 in English and held by 84 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, integro-differential 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 equations-giving 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 73 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
 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.44 (from 0.07 for Differenti ... to 0.69 for Vector Lya ...)

Nonlinear analysis and applications
Alternative Names
Lakshmikantam, V. 1926-

Lakshmikantam, V. (Vandzhipuram), 1926-

Lakshmikantam, Vandzhipuram 1926-

Lakshmikantham, V.

Lakshmikantham, V. 1926-

Lakshmikantham, V. (Vangipuram), 1926-

Lakshmikantham, Vandzhipuam

Lakshmikantham, Vangipuram 1926-

Lakšmikantam, V.

Lakšmikantam, Vandžipuram.

Vandzhipuram Lakshmikantham 1926-....

Languages
English (361)

German (3)

Italian (1)

Covers
Theory of difference equations : numerical methods and applicationsNonlinear analysis and applicationsVector Lyapunov functions and stability analysis of nonlinear systemsTrends in the theory and practice of non-linear analysis : proceedings of the VIth International Conference on Trends in the Theory and Practice of Non-Linear Analysis held at the University of Texas at Arlington, June 18-22, 1984Monotone iterative techniques for discontinuous nonlinear differential equationsComputational error and complexity in science and engineeringTheory of causal differential equationsThe hybrid grand unified theory