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1 edition of Existence Theory for Nonlinear Integral and Integrodifferential Equations found in the catalog.

Existence Theory for Nonlinear Integral and Integrodifferential Equations

by Donal O"Regan

  • 313 Want to read
  • 39 Currently reading

Published by Springer Netherlands, Imprint, Springer in Dordrecht .
Written in English


About the Edition

This book presents an up-to-date account of many topics of current interest in the theory of nonlinear ordinary differential equations. They include fixed point theory, periodic problems, lower and upper surfaces, positone and semi-positone problems, singular equations, limit circle problems, finite and infinite interval problems, and impulsive differential equations. In addition many important applications are presented to complement the theory.
Audience: This work will be of interest to theoretical and applied mathematicians, and graduate students in the above disciplines.

Edition Notes

Statementby Donal O"Regan, Maria Meehan
SeriesMathematics and Its Applications -- 445, Mathematics and Its Applications -- 445.
ContributionsMeehan, Maria
The Physical Object
Format[electronic resource] /
Pagination1 online resource (228 pages).
Number of Pages228
ID Numbers
Open LibraryOL27037741M
ISBN 109401149925
ISBN 109789401149921
OCLC/WorldCa840311034

A self-contained account of integro-differential equations of the Barbashin type and partial integral operators. It presents the basic theory of Barbashin equations in spaces of continuous or measurable functions, including existence, uniqueness, stability and perturbation results.   Ahmad B, Nieto JJ: Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions. Boundary Value Problems , Article ID Google ScholarCited by:   A Priori Bounds in Nonlinear Shell Theory The Riccati Integral Equation Arising in Optimal Control of Delay Differential Equations Existence and Asymptotic Behavior of Reaction-Diffusion Systems via Coupled Quasi-Solutions Emergence of Periodic and Nonperiodic Motions in a Burgers' Channel Flow ModelBook Edition: 1. Book Description. A self-contained account of integro-differential equations of the Barbashin type and partial integral operators. It presents the basic theory of Barbashin equations in spaces of continuous or measurable functions, including existence, uniqueness, stability and perturbation results.

Reports and expands upon topics discussed at the International Conference on [title] held in Colorado Springs, Colo., June Presents recent advances in control, oscillation, and stability theories, spanning a variety of subfields and covering evolution equations, differential inclusions, functi5/5(1). The main aim in this work is to obtain an integral inequality with a clear estimate on time scales. The obtained inequality is used as a tool to investigate some basic qualitative properties of solutions to certain nonlinear Volterra-Fredholm integrodifferential equations on time scales. Multiple positive solutions for nonlinear high-order Riemann–Liouville fractional differential equations boundary value problems with p-Laplacian operator. In this paper, we study the existence of multiple positive solutions for boundary value problems of high-order Riemann–Liouville fractional differential equations involving the p-Laplacian operator. SIAM Journal on Mathematical Analysis. Article Tools. Add to my favoritesCited by:

Solvability of Nonlinear Equations and Boundary Value Problems by Svatopluk Fucik, available at Book Depository with free delivery worldwide. We use cookies to give you the best possible experience. By using our website Existence Theory for Nonlinear Integral and Integrodifferential Equations. Donal O'Regan. 10 Oct Paperback. US. The theory of strongly continuous cosine families is used to obtain existence results for semilinear second order Volterra integrodifferential equations in Banach spaces. The results are applied to examples of integro-partial differential equations which have nonlinearities involving the Cited by:   [7] B.C. Dhage, A new monotone iteration principle in the theory of nonlinear first order integrodifferential equations, Nonlinear Studies, 22(3)(), [8] B.C. Dhage, Some generalizations of a hybrid fixed point theorem in a partially ordered metric space and nonlinear functional integral equations, Differ. Equ Appl., 8(),   O'Regan D, Meehan M: Existence Theory for Nonlinear Integral and Integrodifferential Equations, Mathematics and Its Applications. Volume Kluwer Academic Publishers, Dordrecht, The Netherlands; viii+ Google ScholarAuthor: Tiberiu Trif.


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Existence Theory for Nonlinear Integral and Integrodifferential Equations by Donal O"Regan Download PDF EPUB FB2

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.

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 Existence Theory for Nonlinear Integral and Integrodifferential Equations book.

Get this from a library. Existence Theory for Nonlinear Integral and Integrodifferential Equations. [Donal O'Regan; Maria Meehan] -- This book presents an up-to-date account of many topics of current interest in the theory of nonlinear ordinary differential Existence Theory for Nonlinear Integral and Integrodifferential Equations book.

They include fixed point theory, periodic problems, lower and. ISBN: OCLC Number: Description: pages ; 25 cm. Contents: Ch. Introduction and preliminaries --Ch.

nce theory for nonlinear Fredholm and Volterra integrodifferential equations --Ch. on sets of abstract Volterra equations --Ch. nce theory for nonlinear Fredholm and Volterra integral equations on compact intervals --Ch.

This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur further research in this direction.

on both the compact interval [0, T], and the half-open interval [0, T].Various cases of the operator V will be discussed. In particular we consider cases when V is composed of either Fredholm or Volterra integral operators, which when coupled with (), provide us with existence principles for Fredholm and Volterra integrodifferential by: 1.

Preface. Existence Theory for Nonlinear Integral and Integrodifferential Equations book Introduction and Preliminaries. Existence Theory for Nonlinear Fredholm and Volterra Integrodifferential Equations.

Solution Sets of Abstract Volterra Equations. Convergence of Product Integration Rules for Weights on the Whole Real Line II, Existence Theory for Nonresonant Nonlinear Fredholm Integral Equation and Nonresonant Operator Equations, Periodic Boundary Value Problem for Nonlinear First Order Integro-Ordinary Differential Equations, Interpolatory Quadrature Formulae with Bernstein.

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. AbstractIn the present paper, we investigate the global existence of solutions to initial value problem for nonlinear mixed Volterra–Fredholm functional integrodifferential equations in Banach spaces.

The technique used in our analysis is based on an application of the topological transversality theorem known as Leray–Schauder alternative and rely on a priori bounds of by: 6.

InAhmad and Nieto [2] obtained some existence results for the following nonlinear fractional integrodifferential equations with integral boundary conditions: γ(t, s)x(s)ds, q 1, q 2: X. Existence Theory for Nonlinear Integral and Integrodifferential Equations This text presents an account of many topics of interest in the Theory of nonlinear ordinary differential equations.

They include fixed point Theory, periodic problems, lower and upper surfaces, positone and semi-positone problems, singular equations and limit circle.

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. O'Regan and M. Meehan, Existence Theory for Nonlinear Integral and Integrodifferential Equations, vol.

of Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, The Cited by: 6. The book is divided into three parts.

The first considers linear theory and the second deals with quasilinear equations and existence problems for nonlinear equations, giving some general asymptotic results.

Part III is devoted to frequency domain methods in the study of nonlinear : G. Gripenberg, S. Londen, O. Staffans.

This chapter discusses a unification of ordinary differential equations with the nonlinear semigroup theory. The use of the subtangential condition to establish the existence of a solution to the Cauchy problem dates back over thirty years.

and the properties of the solution of Volterra integral equations and of integrodifferential. Comprised of 82 chapters, this book begins with a discussion on continuous extensions, their construction, and their application in the theory of differential equations.

The reader is then introduced to an approach to boundary control of partial differential equations based on the theory of semigroups of operators; lower closure and existence Book Edition: 1. This paper deals with the study of the existence and non-existence of solutions of a three-parameter family of nonlinear fractional differential equation with mixed-integral boundary value conditions.

We consider the α -Riemann-Liouville fractional derivative, with α ∈ (1, 2 ]. To deduce the existence and non-existence results, we first study the linear equation, by deducing the main Author: Alberto Cabada, Om Kalthoum Wanassi. S.K. Ntouyas, Global existence for neutral functional integrodifferential equations, Nonlinear Analysis: The- ory, Methods and Applicati().

J.P. Dauer and K. Balachandran, Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces, Journal of Mathematical Analysis and Applications Cited by: 9. We investigate the existence of the periodic solutions of a nonlinear integro-differential system with piecewise alternately advanced and retarded argument of generalized type, in short DEPCAG; that is, the argument is a general step function.

We consider the critical case, when associated linear homogeneous system admits nontrivial periodic by: 7. The purpose of pdf book is threefold: to be used for graduate courses on integral pdf to be a reference for researchers; and to describe methods of application of the theory.

The author emphasizes the role of Volterra equations as a unifying tool in the study of functional equations, and investigates the relation between abstract Cited by: Abstract. In this article, we prove the existence of mild and strong solutions for download pdf impulsive integro-di erential equations of Sobolev type with non-local initial conditions.

The results are obtained by using semigroup theory and the Schauder xed point theorem. An example is provided to illustrate the theory. 1. IntroductionFile Size: KB.[10] M. Ebook. KRASNOSEL’SKII,Topological Methods in the Theory on Nonlinear Integral Equations, (En- glish) Translated by A. H. Armstrong, A Pergamon Press Book, MacMillan, New York, [11] S.

L IANG,J.Z HANG, Existence of three positive solutions of m-point boundary value problems for.