Articles

MULTIPLE POSITIVE SOLUTIONS FOR FIRST ORDER IMPULSIVE SUPERLINEAR INTEGRO-DIFFERENTIAL EQUATIONS ON THE HALF LINE

  • GUO Da-Jun
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  • Department of Mathematics, Shandong University, Jinan 250100, China

Received date: 2009-07-30

  Online published: 2011-05-20

Supported by

Research supported by the NSFC (10671167).

Abstract

In this paper, the author discusses the multiple positive solutions for an infinite boundary value problem of first order impulsive superlinear integro-differential equations on the half line by means of the fixed point theorem of cone expansion and compression with norm type.

Cite this article

GUO Da-Jun . MULTIPLE POSITIVE SOLUTIONS FOR FIRST ORDER IMPULSIVE SUPERLINEAR INTEGRO-DIFFERENTIAL EQUATIONS ON THE HALF LINE[J]. Acta mathematica scientia, Series B, 2011 , 31(3) : 1167 -1178 . DOI: 10.1016/S0252-9602(11)60307-X

References

[1] Guo D. Multiple positive solutions for first order nonlinear impulsive integro-differential equations in a Banach space. Appl Math Comput, 2003, 143: 233–249

[2] Guo D. Multiple positive solutions of a boundary value problem for nth order impulsive integro-differential equations in a Banach space. Nonlinear Anal, 2004, 56: 985–1006

[3] Guo D. Multiple positive solutions for nth-order impulsive integro-differential equations in Banach spaces. Nonlinear Anal, 2005, 60: 955–976

[4] Guo D. Some fixed point theorems of expansion and compression type with applications//Lakshmikantham V, ed. Nonlinear Analysis and Applications. New York: Marcel Dekker, 1987: 213–221

[5] Guo D, Lakshmikantham V. Nonlinear problems in abstract cones. Boston: Academic Press, 1988

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