Existence and uniqueness of global solution for abstract second order differential equations with state‐dependent delay

DOI10.1002/mana.201900463zbMath1527.34120OpenAlexW4205589180WikidataQ115405811 ScholiaQ115405811MaRDI QIDQ6080829

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Publication date: 4 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201900463

zbMATH Keywords

cosine functionabstract Cauchy problemstate-dependent delay

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Fixed-point theorems (47H10) Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Functional-differential equations with state-dependent arguments (34K43)

Related Items (3)

Optimal feedback control results for a second-order evolution system with finite delay ⋮ Existence results for the solution of abstract neutral impulsive differential problems with state-dependent delay ⋮ Abstract neutral differential equations with state‐dependent delay and almost sectorial operators

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