Periodic solutions for systems of second order differential equations

DOI10.1016/0022-247X(81)90052-4zbMath0462.34023MaRDI QIDQ1153267

James Robert jun. Ward

Publication date: 1981

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

zbMATH Keywords

T-periodic solutionsFredholm mapping of index zerosecond order vector nonlinear differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34)

Related Items

Periodic solutions of a second-order differential equation with one-sided growth restrictions on the restoring term ⋮ On solvability theorems of second-order ordinary differential equations with delay ⋮ On the existence of periodic solutions of forced Liénard differential equations ⋮ On the use of time-maps for the solvability of nonlinear boundary value problems ⋮ Periodic positive solution to a class of singular second-order ordinary differential equations ⋮ Periodic solutions of Liénard differential equations with subquadratic potential conditions ⋮ Periodic solutions of the second-order forced Liénard equation via time maps ⋮ Unnamed Item ⋮ Time-map techniques for some boundary value problems ⋮ Periodic solutions of some forced Liénard differential equations at resonance ⋮ On periodic solutions of sublinear Duffing equations

Cites Work

• Periodic solutions of a forced nonlinear oscillator involving a onesided restoring force
• Periodic solutions of a second order differential equation including a onesided restoring term
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• Periodic boundary value problems for systems of second order differential equations