An existence result for impulsive functional differential equations with variable times

DOI10.1007/S13370-012-0068-8zbMath1374.34315OpenAlexW2011492372MaRDI QIDQ384792

Khalil Ezzinbi, Issa Zabsonre, Hamidou Toure

Publication date: 28 November 2013

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-012-0068-8

zbMATH Keywords

Hille-Yosida conditionintegrated semigroupsSchaefer's fixed point theoremimpulsive functional differential equations\(L^1\)-Carathéodory function

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Integrated semigroups (47D62)

Related Items (2)

Controllability of some impulsive differential equation with infinite delay in Banach spaces ⋮ Structure of the solution set to fractional differential inclusions with impulses at variable times on compact interval

Cites Work

• Integrated semigroups
• Periodic boundary value problem for first order differential equations with impulses at variable times
• Impulsive functional differential equations with variable times
• ``Integrated semigroups and integrated solutions to abstract Cauchy problems
• Impulsive differential equations with variable times
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