On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition
In this work, we present a boundary value problem of hybrid functional differential inclusion with nonlocal condition. The boundary conditions of integral and infinite points will be deduced. The existence of solutions and its maximal and minimal will be proved. A sufficient condition for uniqueness...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/21/2667 |
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| author | Ahmed M. A. El-Sayed Wagdy G. El-Sayed Somyya S. Amrajaa |
| author_facet | Ahmed M. A. El-Sayed Wagdy G. El-Sayed Somyya S. Amrajaa |
| author_sort | Ahmed M. A. El-Sayed |
| collection | DOAJ |
| description | In this work, we present a boundary value problem of hybrid functional differential inclusion with nonlocal condition. The boundary conditions of integral and infinite points will be deduced. The existence of solutions and its maximal and minimal will be proved. A sufficient condition for uniqueness of the solution is given. The continuous dependence of the unique solution will be studied. |
| first_indexed | 2024-03-10T05:56:38Z |
| format | Article |
| id | doaj.art-3688c51814ac4da4b710c4e36a593e89 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T05:56:38Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-3688c51814ac4da4b710c4e36a593e892023-11-22T21:17:07ZengMDPI AGMathematics2227-73902021-10-01921266710.3390/math9212667On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral ConditionAhmed M. A. El-Sayed0Wagdy G. El-Sayed1Somyya S. Amrajaa2Faculty of Science, Alexandria University, Alexandria 21544, EgyptFaculty of Science, Alexandria University, Alexandria 21544, EgyptFaculty of Science, Omar Al Mukhtar University, Al Bayda 991, LibyaIn this work, we present a boundary value problem of hybrid functional differential inclusion with nonlocal condition. The boundary conditions of integral and infinite points will be deduced. The existence of solutions and its maximal and minimal will be proved. A sufficient condition for uniqueness of the solution is given. The continuous dependence of the unique solution will be studied.https://www.mdpi.com/2227-7390/9/21/2667hybrid differential inclusionboundary value problemnonlocal conditionintegral conditioninfinite point boundary conditionexistence of solutions |
| spellingShingle | Ahmed M. A. El-Sayed Wagdy G. El-Sayed Somyya S. Amrajaa On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition Mathematics hybrid differential inclusion boundary value problem nonlocal condition integral condition infinite point boundary condition existence of solutions |
| title | On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition |
| title_full | On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition |
| title_fullStr | On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition |
| title_full_unstemmed | On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition |
| title_short | On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition |
| title_sort | on a boundary value problem of hybrid functional differential inclusion with nonlocal integral condition |
| topic | hybrid differential inclusion boundary value problem nonlocal condition integral condition infinite point boundary condition existence of solutions |
| url | https://www.mdpi.com/2227-7390/9/21/2667 |
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