Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions
We are concerned with the nonlinear second-order impulsive periodic boundary value problem u''(t)=f(t,u(t),u'(t)), t∈[0,T]∖{t1}, u(t1+)=u(t1−)+I(u(t1)), u'(t1+) =u' (t1−)+J(u(t1)), u(0)=u(T), u'(0)=u'(T), new criteria are established based on...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2007-05-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2007/41589 |
| _version_ | 1819207057730961408 |
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| author | Chuanzhi Bai Dandan Yang |
| author_facet | Chuanzhi Bai Dandan Yang |
| author_sort | Chuanzhi Bai |
| collection | DOAJ |
| description | We are concerned with the nonlinear second-order impulsive periodic boundary value problem u''(t)=f(t,u(t),u'(t)), t∈[0,T]∖{t1}, u(t1+)=u(t1−)+I(u(t1)), u'(t1+) =u' (t1−)+J(u(t1)), u(0)=u(T), u'(0)=u'(T), new criteria are established based on Schaefer's fixed-point theorem. |
| first_indexed | 2024-12-23T05:17:27Z |
| format | Article |
| id | doaj.art-67bfb6593ed34fd4a315b7157b37aeaf |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-23T05:17:27Z |
| publishDate | 2007-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-67bfb6593ed34fd4a315b7157b37aeaf2022-12-21T17:58:46ZengSpringerOpenBoundary Value Problems1687-27621687-27702007-05-01200710.1155/2007/41589Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value ConditionsChuanzhi BaiDandan YangWe are concerned with the nonlinear second-order impulsive periodic boundary value problem u''(t)=f(t,u(t),u'(t)), t∈[0,T]∖{t1}, u(t1+)=u(t1−)+I(u(t1)), u'(t1+) =u' (t1−)+J(u(t1)), u(0)=u(T), u'(0)=u'(T), new criteria are established based on Schaefer's fixed-point theorem.http://dx.doi.org/10.1155/2007/41589 |
| spellingShingle | Chuanzhi Bai Dandan Yang Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions Boundary Value Problems |
| title | Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions |
| title_full | Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions |
| title_fullStr | Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions |
| title_full_unstemmed | Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions |
| title_short | Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions |
| title_sort | existence of solutions for second order nonlinear impulsive differential equations with periodic boundary value conditions |
| url | http://dx.doi.org/10.1155/2007/41589 |
| work_keys_str_mv | AT chuanzhibai existenceofsolutionsforsecondordernonlinearimpulsivedifferentialequationswithperiodicboundaryvalueconditions AT dandanyang existenceofsolutionsforsecondordernonlinearimpulsivedifferentialequationswithperiodicboundaryvalueconditions |