On a Functional Integral Equation
In this paper, we establish some results for a Volterra–Hammerstein integral equation with modified arguments: existence and uniqueness, integral inequalities, monotony and Ulam-Hyers-Rassias stability. We emphasize that many problems from the domain of symmetry are modeled by differential and integ...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/8/1321 |
| _version_ | 1797522026110386176 |
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| author | Daniela Marian Sorina Anamaria Ciplea Nicolaie Lungu |
| author_facet | Daniela Marian Sorina Anamaria Ciplea Nicolaie Lungu |
| author_sort | Daniela Marian |
| collection | DOAJ |
| description | In this paper, we establish some results for a Volterra–Hammerstein integral equation with modified arguments: existence and uniqueness, integral inequalities, monotony and Ulam-Hyers-Rassias stability. We emphasize that many problems from the domain of symmetry are modeled by differential and integral equations and those are approached in the stability point of view. In the literature, Fredholm, Volterra and Hammerstein integrals equations with symmetric kernels are studied. Our results can be applied as particular cases to these equations. |
| first_indexed | 2024-03-10T08:20:47Z |
| format | Article |
| id | doaj.art-b7dd963d6f254e5ca74692f402b3125e |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T08:20:47Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-b7dd963d6f254e5ca74692f402b3125e2023-11-22T09:59:23ZengMDPI AGSymmetry2073-89942021-07-01138132110.3390/sym13081321On a Functional Integral EquationDaniela Marian0Sorina Anamaria Ciplea1Nicolaie Lungu2Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, RomaniaDepartment of Management and Technology, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, RomaniaDepartment of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, RomaniaIn this paper, we establish some results for a Volterra–Hammerstein integral equation with modified arguments: existence and uniqueness, integral inequalities, monotony and Ulam-Hyers-Rassias stability. We emphasize that many problems from the domain of symmetry are modeled by differential and integral equations and those are approached in the stability point of view. In the literature, Fredholm, Volterra and Hammerstein integrals equations with symmetric kernels are studied. Our results can be applied as particular cases to these equations.https://www.mdpi.com/2073-8994/13/8/1321abstract Gronwall lemmaexistence and uniquenessintegral inequalitiesmonotonyUlam-Hyers-Rassias stability |
| spellingShingle | Daniela Marian Sorina Anamaria Ciplea Nicolaie Lungu On a Functional Integral Equation Symmetry abstract Gronwall lemma existence and uniqueness integral inequalities monotony Ulam-Hyers-Rassias stability |
| title | On a Functional Integral Equation |
| title_full | On a Functional Integral Equation |
| title_fullStr | On a Functional Integral Equation |
| title_full_unstemmed | On a Functional Integral Equation |
| title_short | On a Functional Integral Equation |
| title_sort | on a functional integral equation |
| topic | abstract Gronwall lemma existence and uniqueness integral inequalities monotony Ulam-Hyers-Rassias stability |
| url | https://www.mdpi.com/2073-8994/13/8/1321 |
| work_keys_str_mv | AT danielamarian onafunctionalintegralequation AT sorinaanamariaciplea onafunctionalintegralequation AT nicolaielungu onafunctionalintegralequation |