on monotonic and nonnegative solutions of a nonlinear volterra-stieltjes integral equation
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ID: 258993
2014
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Abstract
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.
| Reference Key |
zajc2014journalon
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|---|---|
| Authors | ;Tomasz Zając |
| Journal | Biosensors |
| Year | 2014 |
| DOI |
10.1155/2014/601824
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| URL | |
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