An abstract nonlinear second order differential equation

DOI10.4064/ap-54-2-155-166zbMath0724.34069OpenAlexW974620989WikidataQ115218257 ScholiaQ115218257MaRDI QIDQ5758519

Jan Bochenek

Publication date: 1991

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-54-2-155-166

zbMATH Keywords

Cauchy problemnonlinear integral equationsemilinear differential equation in Banach space

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30)

Related Items (13)

Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces ⋮ Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations ⋮ Abstract functional second-order stochastic evolution equations with applications ⋮ Existence of solutions of nonlinear extensible beam equations ⋮ Approximate controllability for a class of abstract second-order functional evolution equations ⋮ Measure-dependent stochastic nonlinear beam equations driven by fractional Brownian motion ⋮ An Abstract Impulsive Second-Order Functional-Differential Cauchy Problem with Nonlocal Conditions ⋮ Existence results for impulsive neutral second-order stochastic evolution equations with nonlocal conditions ⋮ Unnamed Item ⋮ Controllability of second-order semilinear neutral functional differential systems in Banach spaces ⋮ A generation result for cosine functions of operators ⋮ Second order evolution differential functional equations with infinite delay ⋮ Perturbation theory for fractional evolution equations in a Banach space

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