On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation
We study the existence of monotonic and nonnegative solutions of a nonlinear quadratic Volterra-Stieltjes integral equation in the space of real functions being continuous on a bounded interval. The main tools used in our considerations are the technique of measures of noncompactness in connection w...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/601824 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We study the existence of monotonic and nonnegative
solutions of a nonlinear quadratic Volterra-Stieltjes integral
equation in the space of real functions being continuous on a
bounded interval. The main tools used in our considerations are
the technique of measures of noncompactness in connection with the
theory of functions of bounded variation and the theory of
Riemann-Stieltjes integral. The obtained results can be easily
applied to the class of fractional integral equations and
Volterra-Chandrasekhar integral equations, among others. |
|---|---|
| ISSN: | 2314-8896 2314-8888 |