Existence and uniqueness of solution for abstract differential equations with state-dependent time impulses

DOI10.1007/S00009-019-1308-ZzbMath1418.34138OpenAlexW2920572354WikidataQ128291061 ScholiaQ128291061MaRDI QIDQ2414244

Katia A. G. Azevedo

Publication date: 10 May 2019

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-019-1308-z

zbMATH Keywords

mild solutionimpulsive differential equationanalytic semigroup

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) 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 (2)

Uniqueness of solutions and linearized stability for impulsive differential equations with state-dependent delay ⋮ Existence results for the solution of abstract neutral impulsive differential problems with state-dependent delay

Cites Work

• Almost periodic evolution systems with impulse action at state-dependent moments
• \(C^{1+\alpha}\)-strict solutions and wellposedness of abstract differential equations with state dependent delay
• A condition on delay for differential equations with discrete state-dependent delay
• A non-local PDE model for population dynamics with state-selective delay: local theory and global attractors
• A note on partial functional differential equations with state-dependent delay
• Stability of nonlinear differential systems with state-dependent delayed impulses
• Semigroups of linear operators and applications to partial differential equations
• A neutral system with state-dependent delay.
• Existence results for an impulsive abstract partial differential equation with state-dependent delay
• Smoothness of semiflows for parabolic partial differential equations with state-dependent delay
• Parabolic partial differential equations with discrete state-dependent delay: classical solutions and solution manifold
• Algebraic-delay differential systems: $C^0$-extendable submanifolds and linearization
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
• Analytic semigroups and optimal regularity in parabolic problems
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