Existence of positive solution for second-order nonlinear impulsive singular differential equations of mixed type in Banach spaces

DOI10.1016/J.NA.2008.02.038zbMath1177.45012OpenAlexW1999913025MaRDI QIDQ1005269

Xingqiu Zhang

Publication date: 9 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.038

zbMATH Keywords

positive solutionsinitial value problemmeasure of noncompactnessBanach spaceSchauder fixed point theoremimpulsive singular integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Abstract integral equations, integral equations in abstract spaces (45N05) Positive solutions of integral equations (45M20)

Related Items (3)

Positive fixed point of strict set contraction operators on ordered Banach spaces and applications ⋮ Solutions for \(n\)th-order boundary value problems of impulsive singular nonlinear integro-differential equations in Banach spaces ⋮ Existence and uniqueness of positive solutions to nonlinear second order impulsive differential equations with concave or convex nonlinearities

Cites Work

• Global solutions of initial value problems for nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces
• The solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces
• Global solutions of nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces
• Initial value problems for nonlinear second order impulsive integro-differential equations of mixed type in Banach spaces
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