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Solvability of nonlinear singular problems for ordinary differential equations First Edition by Irena Rachunkova, Svatoslav Stanek, Milan Tvrdy ISBN 9774540409 9789774540400

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Solvability of nonlinear singular problems for ordinary differential equations First Edition Irena Rachunkova Digital Instant Download

Author(s): Irena Rachunkova, Svatoslav Stanek, and Milan Tvrdy
ISBN(s): 9789774540400, 9774540409
Edition: First
File Details: PDF, 2.06 MB
Year: 2009
Language: english
SKU: EB-1438560 Category: Tags: , ,

Solvability of nonlinear singular problems for ordinary differential equations First Edition by Irena Rachunkova, Svatoslav Stanek, Milan Tvrdy – Ebook PDF Instant Download/Delivery: 9774540409, 9789774540400

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Product details:

ISBN 10: 9774540409

ISBN 13: 9789774540400 

Author: Irena Rachunkova, Svatoslav Stanek, Milan Tvrdy

The topic of singular boundary value problems has been of substantial and rapidly growing interest for many scientists and engineers. This book is devoted to singular boundary value problems for ordinary differential equations. It presents existence theory for a variety of problems having unbounded nonlinearities in regions where their solutions are searched for. The importance of thorough investigation of analytical solvability is emphasized by the fact that numerical simulations of solutions to such problems usually break down near singular points. The book provides both general existence principles and effective existence criteria which give a theoretical framework for investigation of variety singular boundary value problems, such as Dirichlet, periodic, mixed, focal, conjugate, Sturm-Liouville, Lidstone, or nonlocal problems.

The book is addressed to researchers in related areas, to graduate students or advanced undergraduates, and, in particular, to those interested in singular and nonlinear boundary value problems. It can serve as a reference book on the existence theory for singular boundary value problems of ordinary differential equations as well as a textbook for graduate or undergraduate classes.

The content of the monograph is mainly based on results obtained by the authors during the last few years, and it also systematically describes the existing literature and compares various known existence results. The impact of the theoretical results is demonstrated by illustrative examples. The selection of topics reflects the particular interests of the authors.

Table of contents:

Part I. Higher-Order Singular Problems

1. Existence Principles for Singular Problems
2. Focal Problems
3. (n, p) Problem
4. Conjugate Problem
5. Sturm-Liouville Problem
6. Lidstone Problem

Part II. Second-Order Singular Problems with -Laplacian
7. Dirichlet Problem
8. Periodic Problem
9. Mixed Problem
10. Nonlocal Problems
11. Problems with a Parameter

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Tags: Irena Rachunkova, Svatoslav Stanek, Milan Tvrdy, Solvability, Nonlinear, Singular, Ordinary Differential Equations