Wellposedness of abstract differential equations with state‐dependent delay

DOI10.1002/MANA.201700127zbMath1406.34089OpenAlexW2802748852MaRDI QIDQ4961554

Vanessa Rolnik, Katia A. G. Azevedo, Eduardo M. Hernández

Publication date: 25 October 2018

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

Full work available at URL: https://doi.org/10.1002/mana.201700127

zbMATH Keywords

Cauchy problem for second order differential equation with state-dependent delaycosine and sine functionstate-dependent delay differential equation.

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) General theory of functional-differential equations (34K05) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (6)

Existence and uniqueness of global solution for abstract second order differential equations with state‐dependent delay ⋮ A characterization of well‐posedness for the second order abstract Cauchy problems with finite delay ⋮ Abstract neutral differential equations with state‐dependent delay and almost sectorial operators ⋮ Abstract random differential equations with state-dependent delay using measures of noncompactness ⋮ Caputo-Hadamard implicit fractional differential equations with delay ⋮ APPROXIMATE CONTROLLABILITY OF SECOND-ORDER SEMILINEAR EVOLUTION SYSTEMS WITH STATE-DEPENDENT INFINITE DELAY

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