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Solvability of Nonlinear Singular Problems for Ordinary Differential Equations
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  • Title Solvability of Nonlinear Singular Problems for Ordinary Differential Equations
  • Author(s) Irena Rachunkova, Svatoslav Stanek, and Milan Tvrdy
  • Publisher: Hindawi Publishing Corporation; First edition (April 30, 2009)
  • Paperback 268 pages
  • Language: English
  • ISBN-10: 9774540409
  • ISBN-13: 978-9774540400
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Book Description

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.

About the Authors
  • Irena Rachunkova 1947 in Olomouc (Czech Republic). Dr.rer.nat. 1970, Ph.D. 1976, and Habilitation 1985 all from the Palacký University in Olomouc. Doctor of Sciences (DrSc.) from the Academy of Sciences of the Czech Republic, Prague 1995. Professor of mathematics at the Faculty of Science of the Palacký University in Olomouc since 1997. Member of editorial boards of several journals on mathematical analysis.

  • Svatoslav Stanek 1942 in Poli ka (Czech Republic). Dr.rer.nat. 1968 from Masaryk University, Brno, Ph.D. 1979 from Academy of Sciences of the Czech Republic, Prague. Professor at the Faculty of Science of the Palacký University in Olomouc since 1998. Editor-in-Chief of Acta Univ.Palacki. Olomouc., Fac. rer. nat. (Mathematica). Member of editorial boards of several journals on mathematics.

  • Milan Tvrdy 1944 in Prague (Czech Republic). Dr.rer.nat. 1973 from Charles University, Prague, Ph.D. 1973 from Academy of Sciences of the Czech Republic, Prague. Habilitation 1997 from the Palacký University in Olomouc. Director of the Institute of Mathematics of the Academy of Sciences of the Czech Republic. Member of editorial boards of several journals on mathematical analysis.

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