Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces

DOI10.1016/j.cam.2007.11.021zbMath1157.45005OpenAlexW2072985667MaRDI QIDQ955076

Heng-you Lan

Publication date: 18 November 2008

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.2007.11.021

zbMATH Keywords

Banach spaceslower and upper solutionsmonotone iterative techniqueextremal solutionsnoncompactness measureinitial problemsystem of nonlinear mixed type implicit impulsive integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Systems of nonlinear integral equations (45G15) Abstract integral equations, integral equations in abstract spaces (45N05) Theoretical approximation of solutions to integral equations (45L05)

Related Items

Existence of periodic solutions for impulsive evolution equations in ordered Banach spaces ⋮ A monotone iterative technique for stationary and time dependent problems in Banach spaces ⋮ Perturbation technique for a class of nonlinear implicit semilinear impulsive integro-differential equations of mixed type with noncompactness measure ⋮ Comparison results for initial value problems of second-order impulsive integro-differential inclusions ⋮ Mixed monotone iterative technique for abstract impulsive evolution equations in Banach spaces ⋮ Impulsive anti-periodic boundary value problem of first-order integro-differential equations ⋮ On the existence of solutions for nonlinear first-order implicit impulsive integro-differential equations

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