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THEORY OF SINGULAR BOUNDARY VALUE PROBLEMS
by Donal O'Regan (University College Galway, Ireland)
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:
- Introduction
- Fixed Point Theory
- Existence Principles
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Operator Theory
- Existence Theory on a Finite Interval I
- Existence Theory on a Finite Interval II
- Nonresonance and Resonance Problems
- Existence Theory on the Semi-Infinite Interval
- Singular Problems in the Dependent Variable I
- Singular Problems in the Dependent Variable II
Readership: Mathematicians.
"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 |
| 168pp |
Pub. date: Apr 1994 |
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