Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments
We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions include terms of the state function an...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/851691 |
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| _version_ | 1832563223371448320 |
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| author | Juan J. Nieto Rosana Rodríguez-López |
| author_facet | Juan J. Nieto Rosana Rodríguez-López |
| author_sort | Juan J. Nieto |
| collection | DOAJ |
| description | We provide optimal conditions for the existence and uniqueness of
solutions to a nonlocal boundary value problem for a class of linear
homogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions include
terms of the state function and the derivative of the state function. A
similar nonhomogeneous problem is also discussed. |
| format | Article |
| id | doaj-art-710561f4e620437d9026667b780ace68 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-710561f4e620437d9026667b780ace682025-02-03T01:20:40ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/851691851691Study of Solutions to Some Functional Differential Equations with Piecewise Constant ArgumentsJuan J. Nieto0Rosana Rodríguez-López1Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, SpainDepartamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, SpainWe provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions include terms of the state function and the derivative of the state function. A similar nonhomogeneous problem is also discussed.http://dx.doi.org/10.1155/2012/851691 |
| spellingShingle | Juan J. Nieto Rosana Rodríguez-López Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments Abstract and Applied Analysis |
| title | Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments |
| title_full | Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments |
| title_fullStr | Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments |
| title_full_unstemmed | Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments |
| title_short | Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments |
| title_sort | study of solutions to some functional differential equations with piecewise constant arguments |
| url | http://dx.doi.org/10.1155/2012/851691 |
| work_keys_str_mv | AT juanjnieto studyofsolutionstosomefunctionaldifferentialequationswithpiecewiseconstantarguments AT rosanarodriguezlopez studyofsolutionstosomefunctionaldifferentialequationswithpiecewiseconstantarguments |