Existence of two positive solutions for a class of third-order impulsive singular integro-differential equations on the half-line in Banach spaces

Dajun Guo

Type: Article

Publication Date: 2016-03-29

Citations: 3

DOI: https://doi.org/10.1186/s13661-016-0577-8

Abstract

In this paper, we discuss the existence of two positive solutions for an infinite boundary value problem of third-order impulsive singular integro-differential equations on the half-line in Banach spaces by means of the fixed point theorem of cone expansion and compression with norm type.

Locations

Boundary Value Problems - View - PDF

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+	Extremal solutions of boundary value problems for second order impulsive integrodifferential equations of mixed type	1997	Zhongli Wei
+	Existence of solutions for nth order impulsive integro-differential equations in a Banach space	2001	Dajun Guo
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+	A multiplicity result for second order impulsive differential equations via the Leggett Williams fixed point theorem	2004	Ravi P. Agarwal Donal O’Regan
+	Existence of positive solutions for th-order nonlinear impulsive singular integro-differential equations in Banach spaces	2007	Dajun Guo
+	An application of variational methods to Dirichlet boundary value problem with impulses	2008	Ziheng Zhang Rong Yuan
+	A generalization of Guo's theorem and applications	1987	Jingxian Sun