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Stability of Periodic Solutions
1965We have seen that under certain conditions, in the case of weak instability, the perturbation approaches in the limit as t → ∞ a periodic solution of permanent type, of small and finite amplitude. However, on the basis of the analysis of Chapter 7 we can only conclude that this periodic permanent-type solution represents the limit of perturbations ...
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On the existence of periodic solutions and almost periodic solutions for nonlinear systems
Nonlinear Analysis: Theory, Methods & Applications, 1995Masato Imai, Shigeo Kato
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Branching of periodic solutions
1973where g(x) is a sufficiently regular odd function with xg(x) > 0 for x # 0, and f(t) is a continuous (or perhaps piecewise continuous) X~-periodic function. We also assume that f(t) is an even function which is odd-harmonic (i.e. f(t +~r) =f(t)). Such equations as (i.
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Existence of periodic solutions
Communications on Pure and Applied Mathematics, 1967openaire +2 more sources
On the existence of periodic solutions to
Nonlinear Analysis: Theory, Methods & Applications, 1982openaire +2 more sources