Strict solutions to nonlinear hyperbolic neutral differential equations

DOI10.1016/S0893-9659(98)00134-7zbMath0941.34075MaRDI QIDQ1809028

Mostafa Adimy, Khalil Ezzinbi

Publication date: 28 July 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Hille-Yosida conditionintegrated semigroupintegral solutionstrict solutionsemilinear functional differential equation of neutral type

Mathematics Subject Classification ID

Neutral functional-differential equations (34K40) Initial value problems for first-order hyperbolic systems (35L45) Integrated semigroups (47D62)

Related Items (25)

Unnamed Item ⋮ Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional-differential equations and applications ⋮ Bohr--Neugebauer type theorem for some partial neutral functional differential equations ⋮ Existence and stability for some partial neutral functional-differential equations with infinite delay ⋮ Second order abstract neutral functional differential equations ⋮ Existence and regularity for some partial neutral functional integrodifferential equations with nondense domain ⋮ Existence, Regularity, and Stability in the α-Norm for Some Neutral Partial Functional Differential Equations in Fading Memory Spaces ⋮ Periodicity in the \({\alpha}\)-norm for partial functional differential equations in fading memory spaces ⋮ Periodic solutions in the \(\alpha\)-norm for some neutral partial functional differential equations with finite delay ⋮ Existence of solutions of second-order partial neutral functional differential equations with infinite delay ⋮ Existence and stability in the \(\alpha\)-norm for partial functional differential equations of neutral type ⋮ Almost automorphic mild solutions to some partial neutral functional-differential equations and applications ⋮ Periodic solutions to partial neutral functional differential equations in admissible spaces on a half-line ⋮ PERIODIC SOLUTIONS FOR SOME NONLINEAR PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS ⋮ Impulsive partial neutral differential equations ⋮ Necessary and sufficient conditions for the regularity and stability for some partial functional differential equations with infinite delay ⋮ Existence and regularity of solutions for neutral partial functional integrodifferential equations ⋮ Cⁿ-almost automorphic solutions for partial neutral functional differential equations ⋮ Necessary and sufficient conditions for the regularity and stability of solutions for some partial neutral functional differential equations with infinite delay ⋮ Existence results for impulsive neutral functional differential equations with infinite delay ⋮ Approximate controllability of second-order distributed implicit functional systems ⋮ Periodic solutions of abstract neutral functional differential equations with infinite delay. ⋮ Existence and regularity of solutions for neutral partial functional integrodifferential equations with infinite delay ⋮ Asymptotically almost periodic and almost periodic solutions for partial neutral differential equations ⋮ Some comments on: Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations

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