On Approximate Controllability of Second-Order Neutral Partial Stochastic Functional Integrodifferential Inclusions with Infinite Delay and Impulsive Effects
We discuss the approximate controllability of second-order impulsive neutral partial stochastic functional integrodifferential inclusions with infinite delay under the assumptions that the corresponding linear system is approximately controllable. Using the fixed point strategy, stochastic analysis,...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/925209 |
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| _version_ | 1849693756495757312 |
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| author | Zuomao Yan |
| author_facet | Zuomao Yan |
| author_sort | Zuomao Yan |
| collection | DOAJ |
| description | We discuss the approximate controllability
of second-order impulsive neutral partial stochastic functional
integrodifferential inclusions with infinite delay under the
assumptions that the corresponding linear system is approximately
controllable. Using the fixed point strategy, stochastic analysis,
and properties of the cosine family of bounded linear operators
combined with approximation techniques, a new set of sufficient
conditions for approximate controllability of the second-order
impulsive partial stochastic integrodifferential systems are
formulated and proved. The results in this paper are generalization
and continuation of the recent results on this issue. An example is
provided to show the application of our result. |
| format | Article |
| id | doaj-art-501bacb140164bfe860e4445189c214c |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-501bacb140164bfe860e4445189c214c2025-08-20T03:20:17ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/925209925209On Approximate Controllability of Second-Order Neutral Partial Stochastic Functional Integrodifferential Inclusions with Infinite Delay and Impulsive EffectsZuomao Yan0Department of Mathematics, Hexi University, Zhangye, Gansu 734000, ChinaWe discuss the approximate controllability of second-order impulsive neutral partial stochastic functional integrodifferential inclusions with infinite delay under the assumptions that the corresponding linear system is approximately controllable. Using the fixed point strategy, stochastic analysis, and properties of the cosine family of bounded linear operators combined with approximation techniques, a new set of sufficient conditions for approximate controllability of the second-order impulsive partial stochastic integrodifferential systems are formulated and proved. The results in this paper are generalization and continuation of the recent results on this issue. An example is provided to show the application of our result.http://dx.doi.org/10.1155/2015/925209 |
| spellingShingle | Zuomao Yan On Approximate Controllability of Second-Order Neutral Partial Stochastic Functional Integrodifferential Inclusions with Infinite Delay and Impulsive Effects Journal of Function Spaces |
| title | On Approximate Controllability of Second-Order Neutral Partial Stochastic Functional Integrodifferential Inclusions with Infinite Delay and Impulsive Effects |
| title_full | On Approximate Controllability of Second-Order Neutral Partial Stochastic Functional Integrodifferential Inclusions with Infinite Delay and Impulsive Effects |
| title_fullStr | On Approximate Controllability of Second-Order Neutral Partial Stochastic Functional Integrodifferential Inclusions with Infinite Delay and Impulsive Effects |
| title_full_unstemmed | On Approximate Controllability of Second-Order Neutral Partial Stochastic Functional Integrodifferential Inclusions with Infinite Delay and Impulsive Effects |
| title_short | On Approximate Controllability of Second-Order Neutral Partial Stochastic Functional Integrodifferential Inclusions with Infinite Delay and Impulsive Effects |
| title_sort | on approximate controllability of second order neutral partial stochastic functional integrodifferential inclusions with infinite delay and impulsive effects |
| url | http://dx.doi.org/10.1155/2015/925209 |
| work_keys_str_mv | AT zuomaoyan onapproximatecontrollabilityofsecondorderneutralpartialstochasticfunctionalintegrodifferentialinclusionswithinfinitedelayandimpulsiveeffects |