Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations
<p/> <p>We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations. The kernels of the integral operators are...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
|
| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/409809 |
| _version_ | 1811278118033293312 |
|---|---|
| author | Horváth László |
| author_facet | Horváth László |
| author_sort | Horváth László |
| collection | DOAJ |
| description | <p/> <p>We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations. The kernels of the integral operators are determined by concave functions. Explicit upper bounds are given for the solutions of the integral inequalities. The integral equations are investigated with regard to the existence of a minimal and a maximal solution, extension of the solutions, and the generation of the solutions by successive approximations.</p> |
| first_indexed | 2024-04-13T00:30:05Z |
| format | Article |
| id | doaj.art-820419b9b57a466c932440f6cf363eed |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-13T00:30:05Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-820419b9b57a466c932440f6cf363eed2022-12-22T03:10:30ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091409809Generalized Bihari Type Integral Inequalities and the Corresponding Integral EquationsHorváth László<p/> <p>We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations. The kernels of the integral operators are determined by concave functions. Explicit upper bounds are given for the solutions of the integral inequalities. The integral equations are investigated with regard to the existence of a minimal and a maximal solution, extension of the solutions, and the generation of the solutions by successive approximations.</p>http://www.journalofinequalitiesandapplications.com/content/2009/409809 |
| spellingShingle | Horváth László Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations Journal of Inequalities and Applications |
| title | Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations |
| title_full | Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations |
| title_fullStr | Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations |
| title_full_unstemmed | Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations |
| title_short | Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations |
| title_sort | generalized bihari type integral inequalities and the corresponding integral equations |
| url | http://www.journalofinequalitiesandapplications.com/content/2009/409809 |
| work_keys_str_mv | AT horv225thl225szl243 generalizedbiharitypeintegralinequalitiesandthecorrespondingintegralequations |