By using the continuation theorem of coincidence degree theory, sufficient and realistic conditions are obtained for the existence of positive periodic solutions for both periodic LotkaαVolterra equations and systems with distributed or statedependent delays. Our results substantially extend and imp
Almost Periodic Solutions of Volterra Equations and Attractivity
β Scribed by T.A. Burton; Tetsuo Furumochi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 185 KB
- Volume
- 198
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
A LotkaαVolterra periodic model with m-predators and n-preys is studied in this paper. A set of easily verifiable sufficient conditions that guarantee the existence, uniqueness and global attractivity of the positive periodic solutions is obtained. Finally, a suitable example is given to illustrate
We study S-asymptotically x-periodic mild solutions of the semilinear Volterra equation u (t) = (a \* Au)(t)+f(t, u(t)), considered in a Banach space X, where A is the generator of an (exponentially) stable resolvent family. In particular, we extend the recent results for semilinear fractional integ