Existence of closed solutions of an equation \(\dot x=f(t,x)\), where \(f_x'(t,x)\) is weakly convex or concave in \(x\)

DOI10.1006/jmaa.1998.6171zbMath0933.34031OpenAlexW1993649910MaRDI QIDQ1279945

Allan Sandqvist, Kurt Munk Andersen

Publication date: 22 April 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6171

zbMATH Keywords

closed solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

LIMIT CYCLES FOR GENERALIZED ABEL EQUATIONS ⋮ Periodic orbits in complex Abel equations ⋮ Existence of closed solutions for a polynomial first order differential equation ⋮ Periodic solutions with nonconstant sign in Abel equations of the second kind ⋮ Existence of periodic solutions for fully nonlinear first-order differential equations

Cites Work

• On the number of closed solutions to an equation \(\dot x=f(t,x)\), where \(f_{x^ n}(t,x)\geq 0\) (n=1,2,or 3)
• On the cross-ratio of four solutions of a first order ordinary differential equation
• On the characteristic exponent function for a first order ordinary differential equation
• Limit Cycles for a Class of Abel Equations
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations