Almost periodic solutions for a semilinear quasi-autonomous hyperbolic problem

DOI10.1016/0362-546X(86)90088-XzbMath0628.35059OpenAlexW1967423093WikidataQ58619820 ScholiaQ58619820MaRDI QIDQ3764571

Pierangelo Marcati

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90088-x

zbMATH Keywords

existenceinitial-boundary value problemglobal solutionsemilinearnonlinear damped wave equationquasi-autonomousalmost periodic response

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) Higher-order nonlinear hyperbolic equations (35L75)

Related Items

On classical almost-periodic solutions of nonlinear hyperbolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of almost periodic complete trajectories for contractive almost periodic processes
• Regular attractors of semigroups and evolution equations
• Decay and stability for nonlinear hyperbolic equations
• On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations
• Asymptotic behavior for an almost periodic, strongly dissipative wave equation
• Trajectories joining critical points
• Bounded or almost periodic solution of the non linear vibrating membrane equation
• Soluzioni periodiche dell'equazione delle onde con termine dissipativo non lineare
• Soluzioni limitate dell'equazione delle onde non omogenea con termine dissipativo quadratico
• Non-linear semi-groups
• Applications of the invariance principle for compact processes. I. Asymptotically dynamical systems
• Uniform processes and semicontinuous Liapunov functionals
• Asymptotic behavior of nonlinear contraction semigroups
• Stability for second order abstract evolution equations
• Attractors of partial differential evolution equations and estimates of their dimension
• Almost Periodic Solutions for a Certain Class of Almost Periodic Systems
• Semiflows associated with compact and uniform processes
• On a method for studying abstract evolution equations in the hyperbolic case
• Dissipativity in the sense of Levinson for a class of second—order nonlinear evolution equations
• Some non-linear evolution equations