EXISTENCE RESULTS FOR IMPULSIVE SYSTEMS WITH INITIAL NONLOCAL CONDITIONS

DOI10.3846/13926292.2013.865678zbMath1301.34017OpenAlexW2041967155MaRDI QIDQ5419701

Gennaro Infante, Octavia Bolojan-Nica, Paolamaria Pietramala

Publication date: 11 June 2014

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2013.865678

zbMATH Keywords

nonlocal initial conditionimpulsive differential systemvector normconvergent to zero matrix

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) Fixed-point theorems (47H10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (6)

Nonlocal Cauchy problems for a class of implicit impulsive fractional relaxation differential systems ⋮ Fractional order differential switched systems with coupled nonlocal initial and impulsive conditions ⋮ Existence results and Ulam–Hyers stability to impulsive coupled system fractional differential equations ⋮ Existence and uniqueness of solutions of nonlinear fractional stochastic differential systems with nonlocal functional boundary conditions ⋮ Existence and uniqueness results for quaternion-valued nonlinear impulsive differential systems ⋮ Sign-constancy of Green's functions for impulsive nonlocal boundary value problems

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