Abstract
This work provides sufficient conditions under which solutions of a class of nonlinear integrodifferential equations are a priori bounded. The topological transversality theorem is then applied to establish the existence of periodic solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 165-175 |
| Number of pages | 11 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis |
| Volume | 14 |
| Issue number | 2 |
| State | Published - Apr 2007 |
Keywords
- A priori bound on solutions
- Essential maps
- Integrodifferential equations
- Topological transversality theorem
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics