Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second Order
The Laplace transform method is applied to study the semi-Hyers–Ulam–Rassias stability of a Volterra integro-differential equation of the second order. A general equation is formulated first; then, some particular cases for the function from the kernel are considered.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/11/1893 |
| _version_ | 1827664743674937344 |
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| author | Daniela Inoan Daniela Marian |
| author_facet | Daniela Inoan Daniela Marian |
| author_sort | Daniela Inoan |
| collection | DOAJ |
| description | The Laplace transform method is applied to study the semi-Hyers–Ulam–Rassias stability of a Volterra integro-differential equation of the second order. A general equation is formulated first; then, some particular cases for the function from the kernel are considered. |
| first_indexed | 2024-03-10T01:06:10Z |
| format | Article |
| id | doaj.art-2105c602f0454f648fab68b7a557ae98 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T01:06:10Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-2105c602f0454f648fab68b7a557ae982023-11-23T14:26:27ZengMDPI AGMathematics2227-73902022-06-011011189310.3390/math10111893Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second OrderDaniela Inoan0Daniela Marian1Department of Mathematics, 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, RomaniaThe Laplace transform method is applied to study the semi-Hyers–Ulam–Rassias stability of a Volterra integro-differential equation of the second order. A general equation is formulated first; then, some particular cases for the function from the kernel are considered.https://www.mdpi.com/2227-7390/10/11/1893Volterra integro-differential equationLaplace transformsemi-Hyers–Ulam–Rassias stability |
| spellingShingle | Daniela Inoan Daniela Marian Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second Order Mathematics Volterra integro-differential equation Laplace transform semi-Hyers–Ulam–Rassias stability |
| title | Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second Order |
| title_full | Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second Order |
| title_fullStr | Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second Order |
| title_full_unstemmed | Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second Order |
| title_short | Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second Order |
| title_sort | semi hyers ulam rassias stability via laplace transform for an integro differential equation of the second order |
| topic | Volterra integro-differential equation Laplace transform semi-Hyers–Ulam–Rassias stability |
| url | https://www.mdpi.com/2227-7390/10/11/1893 |
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