Download or read book On the Solvability of Nonlinear Boundary Value Problems on Time Scales written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this manuscript we study boundary value problems on time scales. First we will examine weakly nonlinear boundary value problems and analyze problems at resonance; that is, problems where the homogeneous linear boundary value problem has a nontrivial solution space. We establish conditions for the existence of solutions and discuss the dependence of solutions on parameters. Next we consider the existence and properties of solutions to nonlinear dynamic equations of the subject to global boundary conditions. Our most significant result in this section concerns the existence of solutions of problems where the nonlinearity exhibits sublinear growth. Finally we establish sufficient conditions for the solvability of nonlinear scalar two-point boundary value problems at resonance. As a consequence of our results we are able to provide easily verifiable conditions for the existence of periodic behavior for dynamic equations on time scales.

Download or read book On the Solvability of Nonlinear Boundary Value Problems on Time Scales written by Rebecca Isabel Burton Kalhorn and published by . This book was released on 2009 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keywords: Lyapunov Schmidt, resonance, boundary value problems, time scales.

Download or read book An Introduction to Nonlinear Boundary Value Problems written by Stephen R. Bernfeld and published by . This book was released on 1974-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to nonlinear boundary value problems.

Download or read book Boundary Value Problems on Time Scales Volume II written by Svetlin Georgiev and published by CRC Press. This book was released on 2021-10-14 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems on Time Scales, Volume II is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines. The text contains two volumes, both published by Chapman & Hall/CRC Press. Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. Volume II investigates boundary value problems for three, four, and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area of research. The time-scale calculus can be applied to any field in which dynamic processes are described by discrete or continuous time models. The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations, phytoremediation of metals, wound healing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulating processes and the phenomena subject to short-time perturbations during their evolution. The material in this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques. AUTHORS Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior.

Download or read book Solvability of Nonlinear Equations and Boundary Value Problems written by Svatopluk Fucik and published by Springer Science & Business Media. This book was released on 1981-02-28 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Solution of Two Point Boundary Value Problems written by Herbert B. Keller and published by SIAM. This book was released on 1976-01-01 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures on a unified theory of and practical procedures for the numerical solution of two point boundary-value problems.

Download or read book Nonlinear Two Point Boundary Value Problems written by Bailey and published by Academic Press. This book was released on 1968 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Two Point Boundary Value Problems

Download or read book Boundary Value Problems on Time Scales Volume I written by Svetlin Georgiev and published by CRC Press. This book was released on 2024-08-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the qualitative theory of boundary value problems on time scales. It summarizes the most recent contributions in this area.

Download or read book A Study of the Boundary Value Problem for Nonlinear Second Order Ordinary Differential Equations written by Lloyd Jackson and published by . This book was released on 1960 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Solution of Nonlinear Boundary Value Problems with Applications written by Milan Kubicek and published by Courier Corporation. This book was released on 2008-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Starting with a survey of accomplishments in the field, it explores initial and boundary value problems for ordinary differential equations, linear boundary value problems, and the numerical realization of parametric studies in nonlinear boundary value problems. The authors--Milan Kubicek, Professor at the Prague Institute of Chemical Technology, and Vladimir Hlavacek, Professor at the University of Buffalo--emphasize the description and straightforward application of numerical techniques rather than underlying theory. This approach reflects their extensive experience with the application of diverse numerical algorithms.

Download or read book Solvability of Classes of Nonlinear Boundary Value Problems written by Anuradha Vishwanathan and published by . This book was released on 1994 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonlinear Boundary Value Problems in Science and Engineering written by C. Rogers and published by Academic Press. This book was released on 1989-11-14 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overall, our object has been to provide an applications-oriented text that is reasonably self-contained. It has been used as the basis for a graduate-level course both at the University of Waterloo and at the Centro Studie Applicazioni in Tecnologie Avante, Bari, Italy. The text is aimed, in the main, at applied mathematicians with a strong interest in physical applications or at engineers working in theoretical mechanics.

Download or read book Solvability of Some Nonlinear Boundary Value Problems written by L.E. Bobisud and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions written by v Mityushev and published by CRC Press. This book was released on 1999-11-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constructive methods developed in the framework of analytic functions effectively extend the use of mathematical constructions, both within different branches of mathematics and to other disciplines. This monograph presents some constructive methods-based primarily on original techniques-for boundary value problems, both linear and nonlinear. From among the many applications to which these methods can apply, the authors focus on interesting problems associated with composite materials with a finite number of inclusions. How far can one go in the solutions of problems in nonlinear mechanics and physics using the ideas of analytic functions? What is the difference between linear and nonlinear cases from the qualitative point of view? What kinds of additional techniques should one use in investigating nonlinear problems? Constructive Methods for Linear and Nonlinear Boundary Value Problems serves to answer these questions, and presents many results to Westerners for the first time. Among the most interesting of these is the complete solution of the Riemann-Hilbert problem for multiply connected domains. The results offered in Constructive Methods for Linear and Nonlinear Boundary Value Problems are prepared for direct application. A historical survey along with background material, and an in-depth presentation of practical methods make this a self-contained volume useful to experts in analytic function theory, to non-specialists, and even to non-mathematicians who can apply the methods to their research in mechanics and physics.

Download or read book A Modified Quasilinearization Concept for Solving the Nonlinear Two point Boundary Value Problem written by Jay M. Lewallen and published by . This book was released on 1967 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quasilinearization and Nonlinear Boundary value Problems written by Richard Bellman and published by New York : American Elsevier. This book was released on 1965 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Solvability of Some Singular and Nonsingular Nonlinear Third order Boundary value Problems written by Donal O'Regan and published by . This book was released on 1988 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: