Existence of solutions of abstract non-autonomous second order integro-differential equations

DOI10.1186/S13661-016-0675-7zbMath1352.45016OpenAlexW2520255786WikidataQ59460531 ScholiaQ59460531MaRDI QIDQ330216

Juan C. Pozo, Hernán R. Henríquez

Publication date: 25 October 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0675-7

zbMATH Keywords

resolvent operatorevolution operatorabstract Cauchy problem of second orderabstract integro-differential equations of second ordercosine function of operatorsdifferential equations in abstract spaces

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Abstract integral equations, integral equations in abstract spaces (45N05) Integro-differential operators (47G20)

Related Items (7)

A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators ⋮ Controllability results for second-order integro-differential equations with state-dependent delay ⋮ The damped vibrating string equation on the positive half-line ⋮ A study on non-autonomous second order evolution equations with nonlocal conditions ⋮ Second order evolution differential functional equations with infinite delay ⋮ Approximate controllability of second-order non-autonomous stochastic impulsive differential systems ⋮ Approximate controllability of second-order stochastic non-autonomous integrodifferential inclusions by resolvent operators

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