Abstract
In this paper we consider the existence of asymptotically stable solutions of a quadratic Hammerstein integral equation. This equation is investigated in the space of real functions denned, bounded and continuous on the real half-axis. The main tools used in our study are measures of noncompactness and the fixed point theorem of Darbo. An example illustrating the result and comparison with other results are also given.
| Original language | English |
|---|---|
| Pages (from-to) | 1769-1792 |
| Number of pages | 24 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 41 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2011 |
Keywords
- Asymptotic stability
- Banach space
- Fixed point theorem of Darbo type
- Measure of noncompactness
- Quadratic integral equation
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