Impulsive nonlocal differential equations through differential equations on time scales

DOI10.1016/j.amc.2011.07.057zbMath1247.34138OpenAlexW2027691839MaRDI QIDQ425419

Aneta Sikorska-Nowak, Mieczysław Cichoń, Bianca-Renata Satco

Publication date: 8 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.057

zbMATH Keywords

dynamic equationtime scaleHenstock-Lebesgue integralimpulsive nonlocal Cauchy problem

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Dynamic equations on time scales or measure chains (34N05)

Related Items

A Cauchy Problem on Time Scales with Applications ⋮ Periodic boundary value problems involving Stieltjes derivatives ⋮ Existence and multiplicity of solutions for some second-order systems on time scales with impulsive effects ⋮ Extremal solutions for measure differential inclusions via Stieltjes derivatives ⋮ Relaxation result for differential inclusions with Stieltjes derivative ⋮ Relaxation theorem for Stieltjes differential inclusions on infinite intervals ⋮ Dynamic local and nonlocal initial value problems in Banach spaces ⋮ Theory and applications of first-order systems of Stieltjes differential equations ⋮ Approximating the solutions of differential inclusions driven by measures ⋮ Measure differential inclusions: existence results and minimum problems ⋮ Nonlinear dynamic equations on time scales with impulses and nonlocal conditions ⋮ Set-valued problems under bounded variation assumptions involving the Hausdorff excess

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