Monotone Iterative Techniques For Discontinuous Nonlinear Differential Equations
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Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations
Author | : V. Lakshmikantham |
Publsiher | : Routledge |
Total Pages | : 265 |
Release | : 2017-09-29 |
Genre | : Mathematics |
ISBN | : 9781351430159 |
Download Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations Book in PDF, Epub and Kindle
""Providing the theoretical framework to model phenomena with discontinuous changes, this unique reference presents a generalized monotone iterative method in terms of upper and lower solutions appropriate for the study of discontinuous nonlinear differential equations and applies this method to derive suitable fixed point theorems in ordered abstract spaces.
Monotone Iterative Techniques for Nonlinear Differential Equations
Author | : G. S. Ladde,V. Lakshmikantham,A. S. Vatsala |
Publsiher | : Pitman Publishing |
Total Pages | : 256 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : UOM:39015017330625 |
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Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations
Author | : V. Lakshmikantham,S. Koksal |
Publsiher | : CRC Press |
Total Pages | : 328 |
Release | : 2003-02-27 |
Genre | : Mathematics |
ISBN | : 9781482288278 |
Download Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations Book in PDF, Epub and Kindle
A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type. This volume describes that technique, which has played a valuable role in unifying a variety of nonlinear problems, particularly when combin
Maximum Principles for the Hill s Equation
Author | : Alberto Cabada,José Ángel Cid,Lucía López-Somoza |
Publsiher | : Academic Press |
Total Pages | : 254 |
Release | : 2017-10-27 |
Genre | : Mathematics |
ISBN | : 9780128041260 |
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Maximum Principles for the Hill's Equation focuses on the application of these methods to nonlinear equations with singularities (e.g. Brillouin-bem focusing equation, Ermakov-Pinney,...) and for problems with parametric dependence. The authors discuss the properties of the related Green’s functions coupled with different boundary value conditions. In addition, they establish the equations’ relationship with the spectral theory developed for the homogeneous case, and discuss stability and constant sign solutions. Finally, reviews of present classical and recent results made by the authors and by other key authors are included. Evaluates classical topics in the Hill’s equation that are crucial for understanding modern physical models and non-linear applications Describes explicit and effective conditions on maximum and anti-maximum principles Collates information from disparate sources in one self-contained volume, with extensive referencing throughout
Nonlinear Functional Analysis and Its Applications
Author | : Radu Precup |
Publsiher | : MDPI |
Total Pages | : 146 |
Release | : 2021-04-14 |
Genre | : Mathematics |
ISBN | : 9783036502403 |
Download Nonlinear Functional Analysis and Its Applications Book in PDF, Epub and Kindle
This book consists of nine papers covering a number of basic ideas, concepts, and methods of nonlinear analysis, as well as some current research problems. Thus, the reader is introduced to the fascinating theory around Brouwer's fixed point theorem, to Granas' theory of topological transversality, and to some advanced techniques of critical point theory and fixed point theory. Other topics include discontinuous differential equations, new results of metric fixed point theory, robust tracker design problems for various classes of nonlinear systems, and periodic solutions in computer virus propagation models.
Advances in Nonlinear Dynamics
Author | : S. Sivasundaram,A.A. Martynyuk |
Publsiher | : Taylor & Francis |
Total Pages | : 404 |
Release | : 2023-01-06 |
Genre | : Technology & Engineering |
ISBN | : 9781351468299 |
Download Advances in Nonlinear Dynamics Book in PDF, Epub and Kindle
Dedicated to Professor S. Leela in recognition of her significant contribution to the field of nonlinear dynamics and differential equations, this text consists of 38 papers contributed by experts from 15 countries, together with a survey of Professor Leela's work. The first group of papers examines stability, the second process controls, and the third section contains papers on various topics, including solutions for new classes of systems of equations and boundary problems, and proofs of basic theorems. Many of the featured problems are associated with the ideas and methods proposed and developed by Professor Leela.
Stochastic versus Deterministic Systems of Differential Equations
Author | : G. S. Ladde,M. Sambandham |
Publsiher | : CRC Press |
Total Pages | : 352 |
Release | : 2003-12-05 |
Genre | : Mathematics |
ISBN | : 0203027027 |
Download Stochastic versus Deterministic Systems of Differential Equations Book in PDF, Epub and Kindle
This peerless reference/text unfurls a unified and systematic study of the two types of mathematical models of dynamic processes-stochastic and deterministic-as placed in the context of systems of stochastic differential equations. Using the tools of variational comparison, generalized variation of constants, and probability distribution as its met
Generalized Difference Methods for Differential Equations
Author | : Ronghua Li,Zhongying Chen,Wei Wu |
Publsiher | : CRC Press |
Total Pages | : 470 |
Release | : 2000-01-03 |
Genre | : Mathematics |
ISBN | : 0824703308 |
Download Generalized Difference Methods for Differential Equations Book in PDF, Epub and Kindle
This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows.