Positive solutions for second order impulsive differential equations with integral boundary conditions

Hao, X.; Liu, L.; Wu, Yong Hong

doi:10.1016/j.cnsns.2010.04.007

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Authors

Hao, X.

Liu, L.

Wu, Yong Hong

Date

2011

Type

Journal Article

Metadata

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Citation

Hao, Xinan and Liu, Lishan and Wu, Yong Hong. 2011. Positive solutions for second order impulsive differential equations with integral boundary conditions. Communications in Nonlinear Science and Numerical Simulation. 16 (1): pp. 101-111.

Source Title

Communications in Nonlinear Science and Numerical Simulation

DOI

10.1016/j.cnsns.2010.04.007

ISSN

1007-5704

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/30862

Collection

Curtin Research Publications

Abstract

This paper is concerned with a class of second order impulsive differential equations with integral boundary conditions. Under different combinations of superlineary and sublinearity of nonlinear term and the impulses, various existence, multiplicity, and nonexistence results for positive solutions are derived in terms of the parameter lies in some intervals. The results obtained herein generalize and improve some known results.