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

Authors:
Lin Xiaoning;Li Xiaoyue;Jiang Daqing
Affiliations:
School of Business Northeast Normal University Changchun 130024, P.R. China and School of Mathematics and Statistics Northeast Normal University Changchun 130024, P.R. China;-;-
Venue:
Computers & Mathematics with Applications
Year:
2006

Citing 2
Cited 1

Subharmonic solutions for some second-order differential equations with singularities

SIAM Journal on Mathematical Analysis
Invariance of homotopy and an extention of a theorem by Habets-Metzen on periodic solutions of Duffing equations

Nonlinear Analysis: Theory, Methods & Applications

Positive solutions of periodic boundary value problems for impulsive differential equations

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.09

Visualization

Abstract

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(0) = x(1), x'(0) = x'(1). Here, f (t, x) may be singular at x = 0 and may be superlinear at x = +~. Our analysis relies on a fixed-point theorem in cones.