Existence of two periodic solutions for the periodic equation \(\ddot x=g(t,x)\)

DOI10.1016/0022-247X(91)90416-WzbMath0734.34034MaRDI QIDQ810712

Antonio R. Tineo

Publication date: 1991

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

zbMATH Keywords

uniqueness theoremdegree theoryexistence of periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items (4)

Exact number of solutions for a class of two-point boundary value problems with one-dimensional \(p\)-Laplacian ⋮ A class of two-point boundary value problems ⋮ Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities ⋮ Exact number of solutions of a class of two-point boundary value problems involving concave and convex nonlinearities

Cites Work

• A symmetry theorem and applications to nonlinear partial differential equations
• Existence of a pair of periodic solutions of an O.D.E. Generalizing a problem in nonlinear elasticity, via variational methods
• Coincidence degree, and nonlinear differential equations
• Unnamed Item

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