Periodic solutions of a class of weakly nonlinear evolution equations

DOI10.1007/BF00281367zbMath0211.12704MaRDI QIDQ2544046

William S. Hall

Publication date: 1970

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10)

Related Items (15)

Unnamed Item ⋮ Periodic \(\mathrm{L}_p\) estimates by \(\mathscr{R}\)-boundedness: applications to the Navier-Stokes equations ⋮ Families of Periodic Solutions for Some Hamiltonian PDEs ⋮ Periodic solutions of weakly nonlinear wave equations in unbounded intervals ⋮ The Bifurcation of Solutions in Banach Spaces ⋮ Periodic solutions of linear and nonlinear wave equations ⋮ Existence of quasi-periodic solutions of perturbed nonlinear and quasi- linear partial differential equations of standard types ⋮ Forced vibrations for a nonlinear wave equation ⋮ Existence of periodic solutions of nonlinear hyperbolic system ⋮ A linear and weakly nonlinear equation of a beam: the boundary-value problem for free extremities and its periodic solutions ⋮ Time periodic solutions of nonlinear wave equations ⋮ Entrainment of frequency in evolution equations ⋮ Periodic solutions of the equation $u_{tt}+u_{xxxx}=\varepsilon f(\cdot,\cdot,u,u_t)$ ⋮ Periodic solutions of nonlinear wave equations ⋮ Solutions of nonlinear hyperbolic equations at resonance

Cites Work

• Periodic solutions of a class of hyperbolic equations containing a small parameter
• Existence in the large of periodic solutions of hyperbolic partial differential equations
• Alternative problems for nonlinear functional equations
• Functional analysis and Galerkin's method
• On the existence of periodic solutions for the equations \(D_{tt}u + (-1)^{p} D_{x}^{2p} u = \varepsilon f(\cdot,\cdot,u)\)
• Remarks on strongly elliptic partial differential equations
• Periodic vibrations of systems governed by nonlinear partial differential equations
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• Periodic solutions of a nonlinear telegraph equation
• On the Solutions of Abstract Nonlinear Equations
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• Periodic solutions of nonlinear hyperbolic partial differential equations. II
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