Journal of Scientific Research and Reports

Positive Solutions of Sturm-Liouville Problems for Second Order Singular and Impulsive Differential Equations

Ying He *

School of Mathematical Science and Technology, Northeast Petroleum University, Daqing 163318, P. R. China.

*Author to whom correspondence should be addressed.

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Abstract

In this paper, we study the positive solutions of nonlinear singular two-point boundary value problems for second-order impulsive differential equations. The existence of positive solutions is established by using the fixed point theorem in cones.

Keywords: Positive solution, singular two-point boundary value problem, second-order impulsive differential equations, fixed point theorem.

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