Initial value problems for second order impulsive integro-differential equations in Banach spaces

zbMath0891.45009MaRDI QIDQ1377221

Dajun Guo

Publication date: 22 March 1998

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

upper and lower solutionsinitial value problemBanach spaceextremal solutionsinfinite systemsecond-order nonlinear impulsive integrodifferential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (9)

On well-posedness of an initial value problem for nonlinear second-order impulsive integro-differential equations of Volterra type in Banach spaces ⋮ A class of second order impulsive integro-differential equations on unbounded domain in a Banach space ⋮ Comparison results for initial value problems of second-order impulsive integro-differential inclusions ⋮ Professor Dajun Guo: a true mathematician and educator ⋮ Solutions for second order impulsive integro-differential equation on unbounded domains in Banach spaces ⋮ Initial value problems for nonlinear impulsive integro-differential equations in Banach space ⋮ Infinite boundary value problems for second-order nonlinear impulsive differential equations with supremum ⋮ Nonlinear boundary value problem for second order impulsive integro-differential equations of mixed type in Banach space ⋮ Existence of solutions for periodic boundary value problems for second-order integro-differential equations

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