On a new class of abstract integral equations and applications

DOI10.1016/J.AMC.2012.08.074zbMath1293.45011OpenAlexW2048919130MaRDI QIDQ2250260

Donal O'Regan, Eduardo M. Hernández, Maria Aparecida Bená

Publication date: 4 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.08.074

zbMATH Keywords

existence of solutionsimpulsive differential equationsabstract differential equationsabstract integral equationsdifferential equations with delaydifferential equations with non-local conditions

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (3)

Almost periodic solutions for two non-instantaneous impulsive biological models ⋮ Fractional semilinear equations with causal operators ⋮ Existence of global solutions for some classes of integral equations

Cites Work

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• Existence of solutions for nonlinear functional integrodifferential evolution equations with nonlocal conditions
• Existence of solutions for a class of abstract differential equations with nonlocal conditions
• Some comments on: Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations
• Existence results for semilinear differential equations with nonlocal and impulsive conditions
• Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• First order impulsive initial and periodic problems with variable moments
• Global existence for semilinear evolution equations with nonlocal conditions
• Singular boundary value problems for first and second order impulsive differential equations
• Existence of solutions to nonlinear differential equations with nonlocal conditions
• A remark on the mild solutions of non-local evolution equations
• Existence results for first-order impulsive differential equations
• Stability Analysis in Terms of Two Measures for Impulsive Differential Equations
• GLOBAL ATTRACTIVITY IN A DELAY POPULATION MODEL UNDER IMPULSIVE PERTURBATIONS
• Existence of solutions of a semilinear functional-differential evolution nonlocal problem
• Impulsive periodic solutions of first-order singular differential equations

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