Nonlinear Analysis and Applications: To V. Lakshmikantham on his 80th Birthday, R.P. Agarwal; Donal O`Regan

Автор: V. Lakshmikantham; V.M. Matrosov; S. Sivasundaram
Название: Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems
ISBN: 0792311523 ISBN-13(EAN): 9780792311522
Издательство: Springer
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Описание: 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.

Автор: V. Lakshmikantham; S. Sivasundaram; B. Kaymakcalan
Название: Dynamic Systems on Measure Chains
ISBN: 0792341163 ISBN-13(EAN): 9780792341161
Издательство: Springer
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Описание: Presents the state of development of the theory of dynamic systems on time scales from a qualitative point of view. This book develops the calculus of functions on time scales. It introduces dynamic systems on time scales and proves the basic properties of solutions of such dynamic systems. It also discusses theory of Lyapunov stability.

Автор: V. Lakshmikantham; Lizhi Wen; Binggen Zhang
Название: Theory of Differential Equations with Unbounded Delay
ISBN: 079233003X ISBN-13(EAN): 9780792330035
Издательство: Springer
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Описание: Presents a unified framework to investigate the basic existence theory for a variety of equations with delay. This book treats the classification of equations with memory to bring out the subtle differences between them. It develops a systematic study of stability theory in terms of two different measures which includes several known concepts.

Автор: Dajun Guo; V. Lakshmikantham; Xinzhi Liu
Название: Nonlinear Integral Equations in Abstract Spaces
ISBN: 0792341449 ISBN-13(EAN): 9780792341444
Издательство: Springer
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Описание: Chapter 2, which is a main portion of this book, deals with nonlin- ear integral equations in Banach spaces, including equations of Fredholm type, of Volterra type and equations of Hammerstein type.

Автор: V. Lakshmikantham; A.S. Vatsala
Название: Generalized Quasilinearization for Nonlinear Problems
ISBN: 0792350383 ISBN-13(EAN): 9780792350385
Издательство: Springer
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Описание: Offers a systematic development of generalized quasilinearization indicating the notions and technical difficulties that are encountered in the unified approach. This book includes the monotone iterative technique as a special case. It is suitable for researchers, industrial and engineering scientists.