The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded Interval
We prove a result on the existence and uniform attractivity of solutions of an Urysohn integral equation. Our considerations are conducted in the Banach space consisting of real functions which are bounded and continuous on the nonnegative real half axis. The main tool used in investigations is the...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/147409 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We prove a result on the existence and uniform attractivity of solutions of an Urysohn integral
equation. Our considerations are conducted in the Banach space consisting of real functions which
are bounded and continuous on the nonnegative real half axis. The main tool used in investigations
is the technique associated with the measures of noncompactness and a fixed point theorem of Darbo
type. An example showing the utility of the obtained results is also included. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |