KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT
Integral inequality of Gronwall-Bellman is known as an integral inequality which consists of differential and integral forms. Integral inequality of Gronwall-Bellman involving several functions that some definite condition hold and integral values of these functions. In addition, the integral inequa...
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| Format: | Article |
| Language: | English |
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Universitas Pattimura
2011-12-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/189 |
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| author | Monalisa E. Rijoly Henry J. Wattimanela Rudy W. Matakupan |
| author_facet | Monalisa E. Rijoly Henry J. Wattimanela Rudy W. Matakupan |
| author_sort | Monalisa E. Rijoly |
| collection | DOAJ |
| description | Integral inequality of Gronwall-Bellman is known as an integral inequality which consists of differential and integral forms. Integral inequality of Gronwall-Bellman involving several functions that some definite condition hold and integral values of these functions. In addition, the integral inequality of Gronwall-Bellman shows that if a function is bounded to a certain integral values then that function is also bounded for the other conditions, that is the exponential of integral. Furthermore, by adding some specific conditions the integral inequality of Gronwall-Bellman can be extended to the case of power functions. |
| format | Article |
| id | doaj-art-e11ce7c38e894819922b1faa3ac0e15f |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2011-12-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-e11ce7c38e894819922b1faa3ac0e15f2025-08-20T03:36:53ZengUniversitas PattimuraBarekeng1978-72272615-30172011-12-0152152410.30598/barekengvol5iss2pp15-24189KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKATMonalisa E. Rijoly0Henry J. Wattimanela1Rudy W. Matakupan2Jurusan Matematika FMIPA Universitas PattimuraJurusan Matematika FMIPA Universitas PattimuraJurusan Matematika FMIPA Universitas PattimuraIntegral inequality of Gronwall-Bellman is known as an integral inequality which consists of differential and integral forms. Integral inequality of Gronwall-Bellman involving several functions that some definite condition hold and integral values of these functions. In addition, the integral inequality of Gronwall-Bellman shows that if a function is bounded to a certain integral values then that function is also bounded for the other conditions, that is the exponential of integral. Furthermore, by adding some specific conditions the integral inequality of Gronwall-Bellman can be extended to the case of power functions.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/189integral inequalities of gronwall-bellman, power function |
| spellingShingle | Monalisa E. Rijoly Henry J. Wattimanela Rudy W. Matakupan KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT Barekeng integral inequalities of gronwall-bellman, power function |
| title | KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT |
| title_full | KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT |
| title_fullStr | KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT |
| title_full_unstemmed | KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT |
| title_short | KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT |
| title_sort | ketaksamaan integral gronwall bellman untuk fungsi berpangkat |
| topic | integral inequalities of gronwall-bellman, power function |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/189 |
| work_keys_str_mv | AT monalisaerijoly ketaksamaanintegralgronwallbellmanuntukfungsiberpangkat AT henryjwattimanela ketaksamaanintegralgronwallbellmanuntukfungsiberpangkat AT rudywmatakupan ketaksamaanintegralgronwallbellmanuntukfungsiberpangkat |