On the existence of periodic solutions for the equations $D_{tt}u + (-1)^{p} D_{x}^{2p} u = \varepsilon f(\cdot,\cdot,u)$

DOI10.1016/0022-0396(70)90098-7zbMath0198.14002OpenAlexW1970288344MaRDI QIDQ2540350

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1016/0022-0396(70)90098-7

zbMATH Keywords

partial differential equations

Related Items (17)

Unnamed Item ⋮ Periodic solution of the dissipative wave equation in a time-dependent domain ⋮ Families of Periodic Solutions for Some Hamiltonian PDEs ⋮ Periodic Navier Solutions for the Plate Equation with Non-Monotone Nonlinearities: the Multidimensional Case ⋮ The Bifurcation of Solutions in Banach Spaces ⋮ Periodic solutions for abstract Hamiltonian equations ⋮ Periodic solutions for forced vibrations of wave equation with general nonlinearities: the multidimensional case ⋮ On some regularity of periodic solutions of nonlinear wave equations ⋮ Periodic solutions of linear and nonlinear wave equations ⋮ Forced vibrations of wave equations with non-monotone nonlinearities ⋮ Nonlinear boundary value problems and operators $TT^*$ ⋮ A linear and weakly nonlinear equation of a beam: the boundary-value problem for free extremities and its periodic solutions ⋮ Periodic solutions of a class of weakly nonlinear evolution equations ⋮ Time periodic solutions of nonlinear wave equations ⋮ Periodic solutions of the equation $u_{tt}+u_{xxxx}=\varepsilon f(\cdot,\cdot,u,u_t)$ ⋮ Existence theorems for nonlinear hyperbolic boundary value problems at resonance ⋮ Solutions of nonlinear hyperbolic equations at resonance

Cites Work

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On the existence of periodic solutions for the equations \(D_{tt}u + (-1)^{p} D_{x}^{2p} u = \varepsilon f(\cdot,\cdot,u)\)