Regular problem for solutions of a retarded semilinear differential nonlocal equation

DOI10.1016/S0898-1221(01)00327-3zbMath1004.34073WikidataQ115338582 ScholiaQ115338582MaRDI QIDQ1609152

Jin-Mun Jeong, Weon-Kee Kang, Dong-Gun Park

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

regularityexistencesolutionsprincipal operatorsretarded semilinear differential equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20)

Related Items (3)

Controllability of retarded semilinear systems with control delay ⋮ Approximation of solutions to non-local history-valued retarded differential equations ⋮ Approximation of solutions to history-valued neutral functional differential equations

Cites Work

• \(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives
• Optimal control of linear retarded systems in Banach spaces
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Stabilizability of retarded functional differential equation in Hilbert space
• Existence of solutions of a delay differential equation with nonlocal condition
• Existence and uniqueness of solutions to semilinear nonlocal parabolic equations
• Existence of solutions of a semilinear functional-differential evolution nonlocal problem
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