On a first-order differential system with initial and nonlocal boundary conditions
This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions. The main tool is the fixed-point theorem in which we construct the novel representation of the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-08-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2022-0012 |
| _version_ | 1797998383219081216 |
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| author | Ngoc Le Thi Phuong Long Nguyen Thanh |
| author_facet | Ngoc Le Thi Phuong Long Nguyen Thanh |
| author_sort | Ngoc Le Thi Phuong |
| collection | DOAJ |
| description | This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions. The main tool is the fixed-point theorem in which we construct the novel representation of the associated Green’s functions with useful properties and define a cone in the Banach space suitably. Some examples are also given to demonstrate the validity of the main results. |
| first_indexed | 2024-04-11T10:47:54Z |
| format | Article |
| id | doaj.art-a725fff315d04adda302cb910a8b3100 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-04-11T10:47:54Z |
| publishDate | 2022-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-a725fff315d04adda302cb910a8b31002022-12-22T04:29:00ZengDe GruyterDemonstratio Mathematica2391-46612022-08-0155127729610.1515/dema-2022-0012On a first-order differential system with initial and nonlocal boundary conditionsNgoc Le Thi Phuong0Long Nguyen Thanh1University of Khanh Hoa, 01 Nguyen Chanh Str., Nha Trang City, VietnamDepartment of Mathematics and Computer Science, University of Science, 227 Nguyen Van Cu Str., Dist. 5, Ho Chi Minh City, VietnamThis paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions. The main tool is the fixed-point theorem in which we construct the novel representation of the associated Green’s functions with useful properties and define a cone in the Banach space suitably. Some examples are also given to demonstrate the validity of the main results.https://doi.org/10.1515/dema-2022-0012initial-boundary value problemsnonlinear differential systemnonlocal conditionspositive solutionsthe fixed-point theory34b0734b1034b1834b27 |
| spellingShingle | Ngoc Le Thi Phuong Long Nguyen Thanh On a first-order differential system with initial and nonlocal boundary conditions Demonstratio Mathematica initial-boundary value problems nonlinear differential system nonlocal conditions positive solutions the fixed-point theory 34b07 34b10 34b18 34b27 |
| title | On a first-order differential system with initial and nonlocal boundary conditions |
| title_full | On a first-order differential system with initial and nonlocal boundary conditions |
| title_fullStr | On a first-order differential system with initial and nonlocal boundary conditions |
| title_full_unstemmed | On a first-order differential system with initial and nonlocal boundary conditions |
| title_short | On a first-order differential system with initial and nonlocal boundary conditions |
| title_sort | on a first order differential system with initial and nonlocal boundary conditions |
| topic | initial-boundary value problems nonlinear differential system nonlocal conditions positive solutions the fixed-point theory 34b07 34b10 34b18 34b27 |
| url | https://doi.org/10.1515/dema-2022-0012 |
| work_keys_str_mv | AT ngoclethiphuong onafirstorderdifferentialsystemwithinitialandnonlocalboundaryconditions AT longnguyenthanh onafirstorderdifferentialsystemwithinitialandnonlocalboundaryconditions |