Theory of Singular Boundary Value Problems

Theory of Singular Boundary Value Problems

by Donal O'Regan

168 pages· 1994· ISBN 9789814502009
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This book surveys some topics in the rapidly developing areas of regular and singular boundary value problems. It also provides a detailed account of the current state of the literature on existence theory for ordinary differential equations. Results are presented for finite and semi-infinite intervals. Singularities in both independent and dependent variables are discussed. Contents:IntroductionFixed Point TheoryExistence PrinciplesOperator TheoryExistence Theory on a Finite Interval IExistence Theory on a Finite Interval IINonresonance and Resonance ProblemsExistence Theory on the Semi-Infinite IntervalSingular Problems in the Dependent Variable ISingular Problems in the Dependent Variable II Readership: Mathematicians. keywords:Leray-Schauder type Continuation Theorems;Singular Two-Point Boundary Value Problems;Second Order Nonlinear Ordinary Differential Equations“…This is a very readable and attractive book, containing much basic information and with a contemporary outlook on singular BVP's for second order ODE's. The references give an adequate sample of the relevant literature on this topic.”Bulletin of the Irish Mathematical Society

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