Existence of Solutions for Nonlinear Mixed Type Integrodifferential Functional Evolution Equations with Nonlocal Conditions
Using Mönch fixed point theorem, this paper proves the existence and controllability of mild solutions for nonlinear mixed type integrodifferential functional evolution equations with nonlocal conditions in Banach spaces, some restricted conditions on a priori estimation and measure of noncompactnes...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/913809 |
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| _version_ | 1849306450047795200 |
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| author | Shengli Xie |
| author_facet | Shengli Xie |
| author_sort | Shengli Xie |
| collection | DOAJ |
| description | Using Mönch fixed point theorem, this paper proves the existence and controllability of mild solutions for nonlinear mixed type integrodifferential functional evolution equations with nonlocal conditions in Banach spaces, some restricted conditions on a priori estimation and measure of noncompactness estimation have been deleted, our results extend and improve many known results. As an application, we have given a controllability result of the system. |
| format | Article |
| id | doaj-art-2ddaffe7e16a4cd092e4d3c85d558e84 |
| 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-2ddaffe7e16a4cd092e4d3c85d558e842025-08-20T03:55:06ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/913809913809Existence of Solutions for Nonlinear Mixed Type Integrodifferential Functional Evolution Equations with Nonlocal ConditionsShengli Xie0Department of Mathematics and Physics, Anhui University of Architecture, Anhui, Hefei 230022, ChinaUsing Mönch fixed point theorem, this paper proves the existence and controllability of mild solutions for nonlinear mixed type integrodifferential functional evolution equations with nonlocal conditions in Banach spaces, some restricted conditions on a priori estimation and measure of noncompactness estimation have been deleted, our results extend and improve many known results. As an application, we have given a controllability result of the system.http://dx.doi.org/10.1155/2012/913809 |
| spellingShingle | Shengli Xie Existence of Solutions for Nonlinear Mixed Type Integrodifferential Functional Evolution Equations with Nonlocal Conditions Abstract and Applied Analysis |
| title | Existence of Solutions for Nonlinear Mixed Type Integrodifferential Functional Evolution Equations with Nonlocal Conditions |
| title_full | Existence of Solutions for Nonlinear Mixed Type Integrodifferential Functional Evolution Equations with Nonlocal Conditions |
| title_fullStr | Existence of Solutions for Nonlinear Mixed Type Integrodifferential Functional Evolution Equations with Nonlocal Conditions |
| title_full_unstemmed | Existence of Solutions for Nonlinear Mixed Type Integrodifferential Functional Evolution Equations with Nonlocal Conditions |
| title_short | Existence of Solutions for Nonlinear Mixed Type Integrodifferential Functional Evolution Equations with Nonlocal Conditions |
| title_sort | existence of solutions for nonlinear mixed type integrodifferential functional evolution equations with nonlocal conditions |
| url | http://dx.doi.org/10.1155/2012/913809 |
| work_keys_str_mv | AT shenglixie existenceofsolutionsfornonlinearmixedtypeintegrodifferentialfunctionalevolutionequationswithnonlocalconditions |