The method of upper and lower solutions to impulsive differential equations with integral boundary conditions

DOI10.1186/1687-1847-2014-183zbMath1417.34041OpenAlexW2138658359WikidataQ59323495 ScholiaQ59323495MaRDI QIDQ1720257

Meng Lu, Chen Cai, Huihui Pang

Publication date: 8 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-183

zbMATH Keywords

impulsive differential equationintegral boundary conditionLeray-Schauder degreelower (upper) solution

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37)

Related Items (3)

Perturbation technique for a class of nonlinear implicit semilinear impulsive integro-differential equations of mixed type with noncompactness measure ⋮ Localization results for impulsive second order coupled systems on the half-line and application to logging timber by helicopter ⋮ Existence result for impulsive coupled systems on the half-line

Cites Work

• Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations
• Positive solutions for second order impulsive differential equations with integral boundary conditions
• Study of singular boundary value problems for second order impulsive differential equations
• New result for a class of impulsive differential equation with integral boundary conditions
• Impulsive boundary value problems with nonlinear boundary conditions
• Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces
• Existence results for the problem (φ(u′))′=f(t,u,u′) with nonlinear boundary conditions
• Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions
• Periodic boundary value problem for the second order impulsive functional differential equations
• Multiple nonnegative solutions for second order impulsive differential equations.
• Second-order differential operators with integral boundary conditions and generation of analytic semigroups
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