A note on periodic solutions of some nonautonomous differential equations

DOI10.1017/S000497270001011XzbMath0592.34028OpenAlexW2002750350MaRDI QIDQ3720981

Luís Sanchez, Maria do Rosário Grossinho

Publication date: 1986

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270001011x

zbMATH Keywords

forced vibrationsvariational methodssecond order differential equationmountain-pass lemmacritical point principle

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Variational principles in infinite-dimensional spaces (58E30)

Related Items

On symmetric positive homoclinic solutions of semilinear \(p\)-Laplacian differential equations, On homoclinic solutions of a semilinear \(p\)-Laplacian difference equation with periodic coefficients, Periodic solutions for a nonautonomous ordinary differential equation, Existence and multiplicity of periodic solutions for a class of second-order ordinary differential equations, Positive homoclinic solutions for a class of second order differential equations, Nonlinear second order periodic value problems with caratheodory functions, Many periodic solutions for a second order cubic periodic differential equation

Cites Work

• Periodic solutions of x+f(x,t)=0 via the Poincaré-Birkhoff theorem
• Dual variational methods in critical point theory and applications
• Biomathematical model of aneurysm of the circle of Willis. I: The Duffing equation and some approximate solutions
• Biomathematical model of aneurysm of the circle of Willis: a qualitative analysis of the differential equation of Austin