Linear FDEs in the frame of generalized ODEs: variation-of-constants formula

DOI10.21136/CMJ.2018.0023-17zbMath1488.34354MaRDI QIDQ3120290

Miguel V. S. Frasson, Rodolfo Collegari, Marcia Federson

Publication date: 1 March 2019

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

functional-differential equationvariation-of-constants formula

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Linear functional-differential equations (34K06) Neutral functional-differential equations (34K40) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Related Items (6)

Existence, uniqueness, variation-of-constant formula and controllability for linear dynamic equations with Perron Δ-integrals ⋮ Oscillatory solutions of differential equations with several discrete delays and generalized ODEs ⋮ Robustness of exponential dichotomies for generalized ordinary differential equations ⋮ Stability, boundedness and controllability of solutions of measure functional differential equations ⋮ On the fundamental solution and its application in a large class of differential systems determined by Volterra type operators with delay ⋮ Boundary value problems for generalized ODEs

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