Density of the range of a wave operator with nonmonotone superlinear nonlinearity

DOI10.3792/PJAA.62.129zbMath0653.35061OpenAlexW2001998182MaRDI QIDQ1107738

Kazunaga Tanaka

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.129

zbMATH Keywords

nonlinear wave equationsuperlinear

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70)

Related Items (4)

Infinitely many periodic solutions for the equation ⋮ Infinitely many periodic solutions for a superlinear forced wave equation ⋮ On the density of the range for some nonlinear operators ⋮ Infinitely many periodic solutions for the equation: \(u_{tt}-u_{xx}\pm | u| ^{s-1}\,u=f(x,t)\)

Cites Work

• Infinitely many periodic solutions for the equation: \(u_{tt}-u_{xx}\pm | u| ^{s-1}\,u=f(x,t)\)
• On the range of wave operators
• Periodic solutions of a nonlinear wave equation without assumption of monotonicity
• Periodic solutions of nonlinear vibrating strings and duality principles
• Large amplitude time periodic solutions of a semilinear wave equation
• Multiple periodic solutions for a semilinear wave equation with nonmonotone nonlinearity
• Nonconvex minimization problems
• Density of the Range of Potential Operators
• Dissipativity in the sense of Levinson for a class of second—order nonlinear evolution equations
• On the range of a wave operator with nonmonotone nonlinearity
• Infinitely many periodic solutions for a superlinear forced wave equation
• Unnamed Item

This page was built for publication: Density of the range of a wave operator with nonmonotone superlinear nonlinearity