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Singular Conjugate Boundary Value Problems on a Time Scale
Authors:
Eric R. Kaufmann a;
Nickolai Kosmatov† a
| Affiliation: | a Department of Mathematics and Statistics, University of Arkansas at Little Rock, Little Rock, AR, USA |
DOI:
10.1080/1023619031000114332
Publication Frequency:
12 issues per year
Published in:
Journal of Difference Equations and Applications,
Volume
10,
Issue
2
February
2004
, pages 119
- 127
Journal of Difference Equations and Applications,
Volume
10,
Issue
2
February
2004
, pages 119
- 127
Subjects:
Analysis - Mathematics;
Applied Mathematics;
Chaos Theory;
Differential Equations;
Dynamical Systems;
Mathematical Biology;
Number of References: 20
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Abstract
Let
 be a time scale symmetric about 1/2. Let 1/2∈S be right dense and define T=S∩[0,1]. The conjugate nonlinear boundary value problem  where a(t) is singular at t=1/2 and f satisfies certain growth conditions, is shown to have infinitely many solutions using Krasnosel'skiı˘'s fixed point theorem.
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| Keywords: Conjugate boundary value problem; Time scale; Green's function; Multiple solutions; 1991 Mathematics Subject Classification; 34B15; 34B16; 34B18; 34G20 |
| view references (20) : view citations |
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