Periodic solutions of perturbed conservative systems
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- by James R. Ward PDF
- Proc. Amer. Math. Soc. 72 (1978), 281-285 Request permission
Abstract:
The existence of $2\pi$-periodic solutions to the system $x'' + \text {grad}\; G(x) = p(t,x)$, p being $2\pi$-periodic in t, is established under conditions at infinity on the Hessian matrix of G. The condition used is weaker than earlier known conditions of a similar nature.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 281-285
- MSC: Primary 34C25; Secondary 47H15
- DOI: https://doi.org/10.1090/S0002-9939-1978-0507323-4
- MathSciNet review: 507323