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Positive solutions to superlinear semipositone periodic boundary value problems with repulsive weak singular forces

✍ Scribed by Lin Xiaoning; Li Xiaoyue; Jiang Daqing

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 409 KB
Volume: 51
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2005.08.030

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✦ Synopsis

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 = +c¢. Our analysis relies on a fixed-point theorem in cones.

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