5 edition of Existence theory for nonlinear integral and integrodifferential equations found in the catalog.
Includes bibliographical references and index.
|Statement||by Donal O"Regan and Maria Meehan.|
|Series||Mathematics and its applications ;, v. 445, Mathematics and its applications (Kluwer Academic Publishers) ;, v. 445.|
|LC Classifications||QA431 .O74 1998|
|The Physical Object|
|Pagination||218 p. ;|
|Number of Pages||218|
|LC Control Number||98021020|
Vito Volterra began his study of integral equations at the end of the nineteenth century and this was a significant development in the theory of integral equations and nonlinear functional analysis. Volterra series are of interest and use in pure and applied mathematics and engineering. In this paper, we mainly consider a time-varying semi-linear integro-differential inclusion with Clarke sub-differential and a non-local initial condition. By a suitable Green function combined with a resolvent operator, we firstly formulate its mild solutions and show that it admits at least one mild solution which can exist in a well-defined ball with a radius big enough. The integral equations are encountered in various fields of science and in numerous applications, including elasticity, plasticity, heat and mass transfer, oscillation theory, fluid dynamics, filtration theory, electrostatics, electrodynamics, biomechanics, game theory, control, queuing theory, electrical engineering, economics, and by: 1.
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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 is.
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 equations.
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 Existence theory for nonlinear integral and integrodifferential equations book 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. 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  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 this book is threefold: to be used for graduate courses on integral equations; 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 nonlinear 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.
IntroductionFile Size: KB.  M. KRASNOSEL’SKII,Topological Methods in the Theory on Nonlinear Integral Equations, (En- glish) Translated by A. Armstrong, A Pergamon Press Book, MacMillan, New York,  S. L IANG,J.Z HANG, Existence of three positive solutions of m-point boundary value problems for.
In this paper, we establish the existence of piece wise (PC)-mild solutions (defined in Section 2) for non local fractional impulsive functional integro-differential equations with finite delay. The proofs are obtained using techniques of fixed point theorems, semi-group theory and generalized Bellman inequality.
In this paper, we used the distributed characteristic operators to define a mild Cited by: 2. Existence of Solutions for Quasilinear Neutral Integrodifferential Equations in Banach Spaces aran 1, and V.
Vinoba Abstract: In this paper, we devoted to study the existence of mild solutions for quasilinear integrodifferential equation in Banach spaces. The results are established by using Hausdorff’s measure of noncompactness and.
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 ProblemsArticle 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.
By using our website Existence Theory for Nonlinear Integral and Integrodifferential Equations. Donal O'Regan. 10 Oct Paperback. 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:  B.C. Dhage, A new monotone iteration principle in the theory of nonlinear first order integrodifferential equations, Nonlinear Studies, 22(3)(),  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. The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid.
Qualitative analysis for nonlinear fractional differential equations via topological degree method Wang, JinRong, Zhou, Yong, and Medveď, Milan, Topological Methods in Nonlinear Analysis, ; Solvability of Nonlinear Integral Equations of Volterra Type Liu, Zeqing, Lee, Sunhong, and Kang, Shin Min, Abstract and Applied Analysis, ; Some existence and uniqueness results for nonlinear Cited by: Mureşan, V.
- Existence, uniqueness and data dependence for the solutions of some integro-differential equations of mixed type in Banach space, Z. Anal. Anwendungen, 23 (), Pachpatte, B. - Integral and Finite Difference Inequalities and Applications, North-Holland Mathematics Studies,Elsevier Science B.
V., Amsterdam. Abstract. In this paper, we consider a class of evolution equations with Hilfer fractional derivative. By employing the fixed point theorem and the noncompact measure method, we establish a number of new criteria to guarantee the existence and uniqueness of mild .On Stability of Vector Nonlinear Integrodifferential Equations MichaelGil Department of Mathematics, Ben-Gurion University of the Negev, P.O.
Box, Beersheba, Israel Correspondence should be addressed to Michael Gil ; [email protected] Received March ; Accepted May Academic Editor: Jos `e Author: Michael Gil.G.M.
N'Guerekata, Spectral Theory of Bounded Functions and Applications, Nova Science Publishers, New York,ISBN: H-S Ding, H. Wang, G.M. N'Guerekata, Multiple periodic solutions for delay differential equations with a general piecewise constant argument, Journal of Nonlinear Sciences and Applications, 10 (),