Positive Green's function and triple positive solutions of a second-order impulsive differential equation with integral boundary conditions and a delayed argument

DOI10.1186/S13661-016-0595-6zbMath1381.34045OpenAlexW2342801953WikidataQ59464356 ScholiaQ59464356MaRDI QIDQ276399

Gaoli Lu, Mei-Qiang Feng

Publication date: 3 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0595-6

zbMATH Keywords

Hölder's inequalitydifferential equations with impulsive effects and delayed argumentsLegget-William's fixed point theorempositive Green's functionthree positive solutions

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems for functional-differential equations (34K10) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (6)

Positive solutions for an impulsive second-order nonlinear boundary value problem ⋮ A family of singular ordinary differential equations of the third order with an integral boundary condition ⋮ Existence and continuity of positive solutions on a parameter for second-order impulsive differential equations ⋮ Exact interval of parameter and two infinite families of positive solutions for a \(n\)th order impulsive singular equation ⋮ Impulsive fractional differential equations with \(\mathrm{p}\)-Laplacian operator in Banach spaces ⋮ Sharp conditions for the existence of positive solutions for a second-order singular impulsive differential equation

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