Existence Results on Semi-Infinite Intervals for Nonlocal Evolutions Equations and Inclusions via Semigroup Theory

DOI10.1080/01630560802000934zbMath1152.34039OpenAlexW2054526759MaRDI QIDQ3506292

Donal O'Regan, Sotiris K. Ntouyas

Publication date: 12 June 2008

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802000934

zbMATH Keywords

fixed pointsemigroupsdiagonalizationevolution equations and inclusionsCosine families

Mathematics Subject Classification ID

Controllability (93B05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Evolution inclusions (34G25) Applications of operator theory to differential and integral equations (47N20)

Related Items (4)

Cauchy problems for Hilfer fractional evolution equations on an infinite interval ⋮ Second-order impulsive differential equations with functional initial conditions on unbounded intervals ⋮ Existence and uniqueness of mild solutions to a semilinear integrodifferential equation of fractional order ⋮ A Cauchy problem for fractional evolution equations with Hilfer's fractional derivative on semi-infinite interval

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Existence of mild solutions on noncompact intervals to second-order initial value problems for a class of differential inclusions with nonlocal conditions
• Controllability results for first and second order evolution inclusions with nonlocal conditions
• Existence and Controllability Results for First-and Second-Order Functional Semilinear Differential Inclusions with Nonlocal Conditions
• Cosine families and abstract nonlinear second order differential equations

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