Attractivity properties of \(\alpha\)-contractions

DOI10.1016/0022-0396(83)90097-9zbMath0542.34058OpenAlexW2069906733MaRDI QIDQ795218

Paul Massatt

Publication date: 1983

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90097-9

zbMATH Keywords

Banach spaceinfinite delayretarded functional differential equationsalpha contractioncompact dissipativemaximal compact invariant setpoint dissipativestable neutral functional differential equationsstrongly damped nonlinear wave equationsuniform asymptotical stability

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

Dissipation and compact attractors, Attractors for certain nonlinear problems of mathematical physics, Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation, Limiting behavior of strongly damped nonlinear wave equations, Upper Semicontinuity of Attractors for Approximations of Semigroups and Partial Differential Equations

Cites Work

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• Some properties of condensing maps
• Stability and fixed points of point-dissipative systems
• Limiting behavior of strongly damped nonlinear wave equations
• Theory of a general class of dissipative processes
• Fixed point theorems and dissipative processes
• Dissipative periodic processes