\(\alpha\)-contractions and attractors for dissipative semilinear hyperbolic equations and systems

DOI10.1007/BF01764127zbMath0749.34036MaRDI QIDQ1191386

Orlando Lopes, Suely Siqueira Ceron

Publication date: 27 September 1992

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Lyapunov methodabstract semilinear evolution equationcompact attractor\(\alpha\)- contractionsdamped partial differential equations of hyperbolic type

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20) Attractors of solutions to ordinary differential equations (34D45)

Related Items (15)

Dimension of the global attractor for damped semilinear wave equations with critical exponent ⋮ The Hartman-Grobman theorem for reversible systems on Banach spaces ⋮ Long-time dynamics of von Karmán semi-flows with nonlinear boundary/interior damping ⋮ On the existence and stability of periodic solutions for a nonlinear neutral functional differential equation ⋮ On the Hartman-Grobman theorem with parameters ⋮ Global attractors for semilinear wave equations with nonlinear damping and critical exponent ⋮ Dynamics of a class of ODEs more general than almost periodic ⋮ Nonlinear evolution inclusions: topological characterizations of solution sets and applications ⋮ Bifurcation and multiplicity results for periodic solutions of a damped wave equation in a thin domain ⋮ Global attractors for von Karman evolutions with a nonlinear boundary dissipation. ⋮ Uniform attractor of shallow arch motion under moving points load ⋮ Attractors for second-order evolution equations with a nonlinear damping ⋮ Periodicity and stability in neutral equations by Krasnoselskii's fixed point theorem ⋮ Stochastic nonlinear beam equations ⋮ Attractors and long-time behavior of von Kármán thermoelastic plates

Cites Work

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• On a nonlinear system of partial differential equations
• Regular attractors of semigroups and evolution equations
• Attractors for damped nonlinear hyperbolic equations
• On the spectrum of evolution operators generated by hyperbolic systems
• Stability and forced oscillations
• Bounded, periodic or almost-periodic solutions of nonlinear hyperbolic partial differential equations
• Fixed point theorems and dissipative processes
• Some Asymptotic Fixed Point Theorems
• Soluzioni periodiche di equazioni a derivate parziali di tipo iperbolico non lineari

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