The existence of multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces is discussed in this paper. Our nonlinearity may be singular in its dependent variable and our analysis relies on a nonlinear alternative of Leray-Schauder type and on a fixed
Positive solutions to superlinear singular boundary value problems
โ Scribed by Ravi P. Agarwal; Donal O'Regan
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 746 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
New existence results are presented for the second-order equation y" + f(t, y) = 0, 0 < t < 1 with Dirichlet or mixed boundary data. In our theory the nonlinearity f is allowed to change sign.
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