Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities
Using a new fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to nonlinear two-point boundary value problems for second-order impulsive differential equations with concave or convex nonlinearitie...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/259730 |
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| _version_ | 1832567012140777472 |
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| author | Lingling Zhang Chengbo Zhai |
| author_facet | Lingling Zhang Chengbo Zhai |
| author_sort | Lingling Zhang |
| collection | DOAJ |
| description | Using a new fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to nonlinear two-point boundary value problems for second-order impulsive differential equations with concave or convex nonlinearities. |
| format | Article |
| id | doaj-art-af868ae73e19492e88d322bf0b5048fa |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-af868ae73e19492e88d322bf0b5048fa2025-02-03T01:02:34ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/259730259730Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex NonlinearitiesLingling Zhang0Chengbo Zhai1Department of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi 030024, ChinaSchool of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, ChinaUsing a new fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to nonlinear two-point boundary value problems for second-order impulsive differential equations with concave or convex nonlinearities.http://dx.doi.org/10.1155/2013/259730 |
| spellingShingle | Lingling Zhang Chengbo Zhai Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities Discrete Dynamics in Nature and Society |
| title | Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities |
| title_full | Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities |
| title_fullStr | Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities |
| title_full_unstemmed | Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities |
| title_short | Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities |
| title_sort | existence and uniqueness of positive solutions to nonlinear second order impulsive differential equations with concave or convex nonlinearities |
| url | http://dx.doi.org/10.1155/2013/259730 |
| work_keys_str_mv | AT linglingzhang existenceanduniquenessofpositivesolutionstononlinearsecondorderimpulsivedifferentialequationswithconcaveorconvexnonlinearities AT chengbozhai existenceanduniquenessofpositivesolutionstononlinearsecondorderimpulsivedifferentialequationswithconcaveorconvexnonlinearities |