Continuation theorems for periodic perturbations of autonomous systems
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- by Anna Capietto, Jean Mawhin and Fabio Zanolin PDF
- Trans. Amer. Math. Soc. 329 (1992), 41-72 Request permission
Abstract:
It is first shown in this paper that, whenever it exists, the coincidence degree of the left-hand member of an autonomous differential equation \[ x’ - {\text {g}}(x) = 0\], in the space of periodic functions with fixed period $\omega$, can be computed in terms of the Brouwer degree of ${\text {g}}$. This result provides efficient continuation theorems specially for $\omega$-periodic perturbations of autonomous systems. Extensions to differential equations in flow-invariant ENR’s are also given.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 329 (1992), 41-72
- MSC: Primary 34B15; Secondary 34C25, 58F22
- DOI: https://doi.org/10.1090/S0002-9947-1992-1042285-7
- MathSciNet review: 1042285