Generalized Quasilinearization For Nonlinear Problems

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Generalized Quasilinearization For Nonlinear Problems

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Author : V. Lakshmikantham
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Generalized Quasilinearization For Nonlinear Problems written by V. Lakshmikantham and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.

The book provides a systematic development of generalized quasilinearization indicating the notions and technical difficulties that are encountered in the unified approach. It enhances considerably the usefulness of the method of quasilinearization which has proved to be very effective in several areas of investigation and in applications. Further it includes the well-known monotone iterative technique as a special case. Audience: Researchers, industrial and engineering scientists.

Generalized Quasilinearization Method And Higher Order Of Convergence For Nonlinear Problems

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Author : Tanya Gospodinova Melton
language : en
Publisher:
Release Date : 2005

Generalized Quasilinearization Method And Higher Order Of Convergence For Nonlinear Problems written by Tanya Gospodinova Melton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Quasilinearization categories.

Monotone Flows And Rapid Convergence For Nonlinear Partial Differential Equations

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Author : V. Lakshmikantham
language : en
Publisher: CRC Press
Release Date : 2003-02-27

Monotone Flows And Rapid Convergence For Nonlinear Partial Differential Equations written by V. Lakshmikantham and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-27 with Mathematics categories.

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 combined with the quasilinearization method. The first part of this monograph describes the general methodology using the classic approach, while the second part develops the same basic ideas via the variational technique. The text provides a useful and timely reference for applied scientists, engineers and numerical analysts.

Equadiff 95 Proceedings Of The International Conference On Differential Equations

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Author : L Magalhaes
language : en
Publisher: World Scientific
Release Date : 1998-04-30

Equadiff 95 Proceedings Of The International Conference On Differential Equations written by L Magalhaes and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-30 with categories.

In this volume, leading experts on differential equations address recent advances in the fields of ordinary differential equations and dynamical systems, partial differential equations and calculus of variations, and their related applications.

Methods In Nonlinear Integral Equations

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Author : R Precup
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Methods In Nonlinear Integral Equations written by R Precup and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Many important applications for several classes of integral equations and, in particular, for initial and boundary value problems, are presented to complement the theory. Special attention is paid to the existence and localization of solutions in bounded domains such as balls and order intervals. The presentation is essentially self-contained and leads the reader from classical concepts to current ideas and methods of nonlinear analysis.

The Generalized Quasilinearization Method And Blow Up Results For Nonlinear Problems

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Author : Liwen Wang
language : en
Publisher:
Release Date : 1999

The Generalized Quasilinearization Method And Blow Up Results For Nonlinear Problems written by Liwen Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Quasilinearization categories.

Proceedings Of The Fifth International Colloquium On Differential Equations

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Author : D. Bainov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18

Proceedings Of The Fifth International Colloquium On Differential Equations written by D. Bainov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Mathematics categories.

No detailed description available for "Proceedings of the Fifth International Colloquium on Differential Equations".

Existence Theory For Nonlinear Integral And Integrodifferential Equations

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Author : Donal O'Regan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Existence Theory For Nonlinear Integral And Integrodifferential Equations written by Donal O'Regan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The theory of integral and integrodifferential equations has ad vanced rapidly over the last twenty years. Of course the question of existence is an age-old problem of major importance. This mono graph is a collection of some of the most advanced results to date in this field. The book is organized as follows. It is divided into twelve chap ters. Each chapter surveys a major area of research. Specifically, some of the areas considered are Fredholm and Volterra integral and integrodifferential equations, resonant and nonresonant problems, in tegral inclusions, stochastic equations and periodic problems. We note that the selected topics reflect the particular interests of the authors. Donal 0 'Regan Maria Meehan CHAPTER 1 INTRODUCTION AND PRELIMINARIES 1.1. Introduction The aim of this book is firstly to provide a comprehensive existence the ory for integral and integrodifferential equations, and secondly to present some specialised topics in integral equations which we hope will inspire fur ther research in the area. To this end, the first part of the book deals with existence principles and results for nonlinear, Fredholm and Volterra inte gral and integrodifferential equations on compact and half-open intervals, while selected topics (which reflect the particular interests of the authors) such as nonresonance and resonance problems, equations in Banach spaces, inclusions, and stochastic equations are presented in the latter part.

Mathematical Neuroscience

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Author : Stanislaw Brzychczy
language : en
Publisher: Academic Press
Release Date : 2013-08-16

Mathematical Neuroscience written by Stanislaw Brzychczy and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-16 with Mathematics categories.

Mathematical Neuroscience is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way. It is the first research monograph devoted exclusively to the theory and methods of nonlinear analysis of infinite systems based on functional analysis techniques arising in modern mathematics. Neural models that describe the spatio-temporal evolution of coarse-grained variables—such as synaptic or firing rate activity in populations of neurons —and often take the form of integro-differential equations would not normally reflect an integrative approach. This book examines the solvability of infinite systems of reaction diffusion type equations in partially ordered abstract spaces. It considers various methods and techniques of nonlinear analysis, including comparison theorems, monotone iterative techniques, a truncation method, and topological fixed point methods. Infinite systems of such equations play a crucial role in the integrative aspects of neuroscience modeling. - The first focused introduction to the use of nonlinear analysis with an infinite dimensional approach to theoretical neuroscience - Combines functional analysis techniques with nonlinear dynamical systems applied to the study of the brain - Introduces powerful mathematical techniques to manage the dynamics and challenges of infinite systems of equations applied to neuroscience modeling

Proceedings Of The Conference On Differential Difference Equations And Applications

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Author : Ravi P. Agarwal
language : en
Publisher: Hindawi Publishing Corporation
Release Date : 2006

Proceedings Of The Conference On Differential Difference Equations And Applications written by Ravi P. Agarwal and has been published by Hindawi Publishing Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Difference equations categories.