On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation
In this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes integral condition will also be considered. Some examp...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/21/2800 |
| _version_ | 1797512088028971008 |
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| author | Ahmed El-Sayed Eman Hamdallah Hanaa Ebead |
| author_facet | Ahmed El-Sayed Eman Hamdallah Hanaa Ebead |
| author_sort | Ahmed El-Sayed |
| collection | DOAJ |
| description | In this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes integral condition will also be considered. Some examples will be provided to illustrate our results. |
| first_indexed | 2024-03-10T05:56:57Z |
| format | Article |
| id | doaj.art-86eb1772e8b24a1a9e057f19d76a6028 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T05:56:57Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-86eb1772e8b24a1a9e057f19d76a60282023-11-22T21:19:01ZengMDPI AGMathematics2227-73902021-11-01921280010.3390/math9212800On a Nonlocal Boundary Value Problem of a State-Dependent Differential EquationAhmed El-Sayed0Eman Hamdallah1Hanaa Ebead2Faculty of Science, Alexandria University, Alexandria 21500, EgyptFaculty of Science, Alexandria University, Alexandria 21500, EgyptFaculty of Science, Alexandria University, Alexandria 21500, EgyptIn this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes integral condition will also be considered. Some examples will be provided to illustrate our results.https://www.mdpi.com/2227-7390/9/21/2800state-dependencesolutionsintegral boundary conditioninfinite-point boundary conditionexamples |
| spellingShingle | Ahmed El-Sayed Eman Hamdallah Hanaa Ebead On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation Mathematics state-dependence solutions integral boundary condition infinite-point boundary condition examples |
| title | On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation |
| title_full | On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation |
| title_fullStr | On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation |
| title_full_unstemmed | On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation |
| title_short | On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation |
| title_sort | on a nonlocal boundary value problem of a state dependent differential equation |
| topic | state-dependence solutions integral boundary condition infinite-point boundary condition examples |
| url | https://www.mdpi.com/2227-7390/9/21/2800 |
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