Some uniqueness results for functional damped semilinear differential equations in Fréchet spaces

DOI10.1007/s10114-007-0999-4zbMath1156.34064OpenAlexW2406197845MaRDI QIDQ928239

Abdelghani Ouahab

Publication date: 11 June 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0999-4

zbMATH Keywords

contractionuniquenessfixed pointsemigroupdifferential equationsmild solutionFréchet space

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20)

Related Items (1)

Uniqueness results for fractional integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces

Cites Work

• Some comments on: Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations
• Local and global existence and uniqueness results for impulsive functional differential equations with multiple delay
• Existence and uniqueness results for impulsive functional differential equations with scalar multiple delay and infinite delay
• Semigroups of linear operators and applications to partial differential equations
• Theory of functional differential equations. 2nd ed
• On a global solution and asymptotic behaviour for the generalized damped extensible beam equation
• Existence of semilinear differential equations with nonlocal initial conditions
• Cosine families and abstract nonlinear second order differential equations
• One-Parameter Semigroups for Linear Evolution Equations
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