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Existence of Periodic Solutions of an Integro-Differential Equation Modelling Resonant Water Waves

✍ Scribed by D. W. Reynolds


Book ID
125203712
Year
1987
Weight
469 KB
Volume
87A
Category
Article
ISSN
0035-8975

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Periodic Solutions of Linear Integro-Dif
✍ T. A. Burton; P. W. Eloe; M. N. Islam πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 359 KB πŸ‘ 1 views

## Abstract Using a degree‐theoretic result of Granas, a homotopy is constructed enabling us to show that if there is an __a priori__ bound on all possible __T__‐periodic solutions of a Volterra equation, then there is a __T__‐periodic solution. The __a priori__ bound is established by means of a L