Neutral Operator and Neutral Differential Equation
In this paper, we discuss the properties of the neutral operator (Ax)(t)=x(t)−cx(t−δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of (positive) periodic solutions to two kinds of second-...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/969276 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849693870777958400 |
|---|---|
| author | Jingli Ren Zhibo Cheng Stefan Siegmund |
| author_facet | Jingli Ren Zhibo Cheng Stefan Siegmund |
| author_sort | Jingli Ren |
| collection | DOAJ |
| description | In this paper, we discuss the properties of the neutral operator (Ax)(t)=x(t)−cx(t−δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of (positive) periodic solutions to two kinds of second-order differential equations with the prescribed neutral operator. |
| format | Article |
| id | doaj-art-4f92c971876e4b01a18da590cc078a62 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4f92c971876e4b01a18da590cc078a622025-08-20T03:20:16ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/969276969276Neutral Operator and Neutral Differential EquationJingli Ren0Zhibo Cheng1Stefan Siegmund2Department of Mathematics, Zhengzhou University, Zhengzhou 450001, ChinaDepartment of Mathematics, Zhengzhou University, Zhengzhou 450001, ChinaDepartment of Mathematics, Dresden University of Technology, 01062 Dresden, GermanyIn this paper, we discuss the properties of the neutral operator (Ax)(t)=x(t)−cx(t−δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of (positive) periodic solutions to two kinds of second-order differential equations with the prescribed neutral operator.http://dx.doi.org/10.1155/2011/969276 |
| spellingShingle | Jingli Ren Zhibo Cheng Stefan Siegmund Neutral Operator and Neutral Differential Equation Abstract and Applied Analysis |
| title | Neutral Operator and Neutral Differential Equation |
| title_full | Neutral Operator and Neutral Differential Equation |
| title_fullStr | Neutral Operator and Neutral Differential Equation |
| title_full_unstemmed | Neutral Operator and Neutral Differential Equation |
| title_short | Neutral Operator and Neutral Differential Equation |
| title_sort | neutral operator and neutral differential equation |
| url | http://dx.doi.org/10.1155/2011/969276 |
| work_keys_str_mv | AT jingliren neutraloperatorandneutraldifferentialequation AT zhibocheng neutraloperatorandneutraldifferentialequation AT stefansiegmund neutraloperatorandneutraldifferentialequation |