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...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/601824 |
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| _version_ | 1832561116095447040 |
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| author | Tomasz Zając |
| author_facet | Tomasz Zając |
| author_sort | Tomasz Zając |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ce4fb9167e1444d48440e7ded67ef7b0 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ce4fb9167e1444d48440e7ded67ef7b02025-02-03T01:25:56ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/601824601824On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral EquationTomasz Zając0Department of Mathematics, Rzeszów University of Technology, Aleja Powstańców Warszawy 12, 35-959 Rzeszów, PolandWe 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.http://dx.doi.org/10.1155/2014/601824 |
| spellingShingle | Tomasz Zając On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation Journal of Function Spaces |
| title | On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation |
| title_full | On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation |
| title_fullStr | On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation |
| title_full_unstemmed | On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation |
| title_short | On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation |
| title_sort | on monotonic and nonnegative solutions of a nonlinear volterra stieltjes integral equation |
| url | http://dx.doi.org/10.1155/2014/601824 |
| work_keys_str_mv | AT tomaszzajac onmonotonicandnonnegativesolutionsofanonlinearvolterrastieltjesintegralequation |