Bounded, periodic or almost-periodic solutions of nonlinear hyperbolic partial differential equations

DOI10.1016/0022-0396(77)90117-6zbMath0348.35069OpenAlexW1992507194MaRDI QIDQ1234424

Mitsuhiro Nakao

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90117-6

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) First-order nonlinear hyperbolic equations (35L60)

Related Items

Global and periodic solutions for nonlinear wave equations with some localized nonlinear dissipation ⋮ On classical almost-periodic solutions of nonlinear hyperbolic equations ⋮ Global existence to the initial-boundary value problem for a system of semilinear wave equations ⋮ On periodic solutions of a semilinear hyperbolic parabolic equation ⋮ On solutions of the wave equation with a sublinear dissipative term ⋮ Periodic solution and decay for some nonlinear wave equations with sublinear dissipative terms ⋮ Periodic solution of the dissipative wave equation in a time-dependent domain ⋮ \(\alpha\)-contractions and attractors for dissipative semilinear hyperbolic equations and systems ⋮ On bounded, periodic, and almost periodic solutions for a system of nonlinear second-order ordinary differential equations ⋮ Asymptotic stability for some nonlinear evolution equations of second order with unbounded dissipative terms ⋮ Bounded solutions of second order semilinear evolution equations and applications to the telegraph equation ⋮ Periodic solutions for wave equations with variable coefficients with nonlinear localized damping

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On boundedness, periodicity, and almost periodicity of solutions of some nonlinear parabolic equations
• Sur les solutions bornees et presque périodiques des équations et inéquations d'évolution
• Bounded or almost periodic solution of the non linear vibrating membrane equation
• Soluzioni periodiche dell'equazione delle onde non omogenea con termine dissipativo quadratico
• Soluzioni periodiche dell'equazione delle onde con termine dissipativo non lineare
• Soluzioni limitate dell'equazione delle onde non omogenea con termine dissipativo quadratico
• On continuity of functions with values in various Banach spaces
• Un complemento ad un teorema di J.L. Lions sulle equazioni differenziali astratte del secondo ordine
• Some non-linear evolution equations
• Existence Theorems for Some Non-Linear Equations of Evolution