Existence and uniqueness theorem for a solution of fuzzy differential equations
By using the method of successive approximation, we prove the existence and uniqueness of a solution of the fuzzy differential equation x′(t)=f(t,x(t)),x(t0)=x0. We also consider an ϵ-approximate solution of the above fuzzy differential equation.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299222715 |
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| _version_ | 1832545669120786432 |
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| author | Jong Yeoul Park Hyo Keun Han |
| author_facet | Jong Yeoul Park Hyo Keun Han |
| author_sort | Jong Yeoul Park |
| collection | DOAJ |
| description | By using the method of successive approximation, we prove the
existence and uniqueness of a solution of the fuzzy differential equation x′(t)=f(t,x(t)),x(t0)=x0. We also consider an ϵ-approximate solution of the above fuzzy differential
equation. |
| format | Article |
| id | doaj-art-bc80537a412c4be5bbe3c85bd1887824 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bc80537a412c4be5bbe3c85bd18878242025-02-03T07:25:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122227127910.1155/S0161171299222715Existence and uniqueness theorem for a solution of fuzzy differential equationsJong Yeoul Park0Hyo Keun Han1Department of Mathematics, Pusan National University, Pusan 609–735, KoreaDepartment of Mathematics, Pusan National University, Pusan 609–735, KoreaBy using the method of successive approximation, we prove the existence and uniqueness of a solution of the fuzzy differential equation x′(t)=f(t,x(t)),x(t0)=x0. We also consider an ϵ-approximate solution of the above fuzzy differential equation.http://dx.doi.org/10.1155/S0161171299222715Fuzzy set-valued mappinglevelwise continuousfuzzy derivativefuzzy integralfuzzy differential equationfuzzy solutionfuzzy ϵ solution. |
| spellingShingle | Jong Yeoul Park Hyo Keun Han Existence and uniqueness theorem for a solution of fuzzy differential equations International Journal of Mathematics and Mathematical Sciences Fuzzy set-valued mapping levelwise continuous fuzzy derivative fuzzy integral fuzzy differential equation fuzzy solution fuzzy ϵ solution. |
| title | Existence and uniqueness theorem for a solution of fuzzy differential equations |
| title_full | Existence and uniqueness theorem for a solution of fuzzy differential equations |
| title_fullStr | Existence and uniqueness theorem for a solution of fuzzy differential equations |
| title_full_unstemmed | Existence and uniqueness theorem for a solution of fuzzy differential equations |
| title_short | Existence and uniqueness theorem for a solution of fuzzy differential equations |
| title_sort | existence and uniqueness theorem for a solution of fuzzy differential equations |
| topic | Fuzzy set-valued mapping levelwise continuous fuzzy derivative fuzzy integral fuzzy differential equation fuzzy solution fuzzy ϵ solution. |
| url | http://dx.doi.org/10.1155/S0161171299222715 |
| work_keys_str_mv | AT jongyeoulpark existenceanduniquenesstheoremforasolutionoffuzzydifferentialequations AT hyokeunhan existenceanduniquenesstheoremforasolutionoffuzzydifferentialequations |