Extremal solutions for the first order impulsive functional differential equations with upper and lower solutions in reversed order

DOI10.1016/j.cam.2010.06.014zbMath1210.34110OpenAlexW1987449385MaRDI QIDQ711257

Lihong Zhang, Guotao Wang, Guang-xing Song

Publication date: 25 October 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.06.014

zbMATH Keywords

upper and lower solutionsextremal solutionsmonotone iterative methodimpulsive functional differential equationsreversed order

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Theoretical approximation of solutions to functional-differential equations (34K07) Boundary value problems for functional-differential equations (34K10)

Related Items (12)

Multi-point boundary value problem for first order impulsive integro-differential equations with multi-point jump conditions ⋮ Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order ⋮ Analysis of multipoint impulsive problem of fractional-order differential equations ⋮ A new comparison principle and its application to nonlinear impulsive functional integro-differential equations ⋮ Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations ⋮ Ulam-Hyers stability analysis to a class of nonlinear implicit impulsive fractional differential equations with three point boundary conditions ⋮ A study of an impulsive four-point nonlocal boundary value problem of nonlinear fractional differential equations ⋮ Some existence results for impulsive nonlinear fractional differential equations with mixed boundary conditions ⋮ On solution of integrodifferential equation with delay parameter by sinc basis functions ⋮ On impulsive boundary value problem with Riemann-Liouville fractional order derivative ⋮ Integral boundary value problem for impulsive integro-differential equations in Banach spaces ⋮ New existence results and comparison principles for impulsive integral boundary value problem with lower and upper solutions in reversed order

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