This paper is devoted to study the existence of positive solutions to the second-order semipositone periodic boundary value problem x'+ a(t)x = f(t,x), x(O) = x(1), xt(0) = xt(1). Here, f(t, x) may be singular at x = 0 and may be superlinear at x = +cΒ’. Our analysis relies on a fixed-point theorem
Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces
β Scribed by Daqing Jiang; Jifeng Chu; Donal O'Regan; Ravi P. Agarwal
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 210 KB
- Volume
- 286
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
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 point theorem in cones.
π SIMILAR VOLUMES
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