Oscillation of Half-Linear Differential Equations with Delay
We study the half-linear delay differential equation , , We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for an ordinary half-linear differential equation....
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/583147 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550663692746752 |
|---|---|
| author | Simona Fišnarová Robert Mařík |
| author_facet | Simona Fišnarová Robert Mařík |
| author_sort | Simona Fišnarová |
| collection | DOAJ |
| description | We study the half-linear delay differential equation , , We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for an ordinary half-linear differential equation. The presented results extend and improve previous results of other authors. An extension to neutral equations is also provided. |
| format | Article |
| id | doaj-art-e61c85e2db4e40e49d1eeacebb9817b8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e61c85e2db4e40e49d1eeacebb9817b82025-02-03T06:06:10ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/583147583147Oscillation of Half-Linear Differential Equations with DelaySimona Fišnarová0Robert Mařík1Department of Mathematics, Mendel University in Brno, Zemědělská 1, 613 00 Brno, Czech RepublicDepartment of Mathematics, Mendel University in Brno, Zemědělská 1, 613 00 Brno, Czech RepublicWe study the half-linear delay differential equation , , We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for an ordinary half-linear differential equation. The presented results extend and improve previous results of other authors. An extension to neutral equations is also provided.http://dx.doi.org/10.1155/2013/583147 |
| spellingShingle | Simona Fišnarová Robert Mařík Oscillation of Half-Linear Differential Equations with Delay Abstract and Applied Analysis |
| title | Oscillation of Half-Linear Differential Equations with Delay |
| title_full | Oscillation of Half-Linear Differential Equations with Delay |
| title_fullStr | Oscillation of Half-Linear Differential Equations with Delay |
| title_full_unstemmed | Oscillation of Half-Linear Differential Equations with Delay |
| title_short | Oscillation of Half-Linear Differential Equations with Delay |
| title_sort | oscillation of half linear differential equations with delay |
| url | http://dx.doi.org/10.1155/2013/583147 |
| work_keys_str_mv | AT simonafisnarova oscillationofhalflineardifferentialequationswithdelay AT robertmarik oscillationofhalflineardifferentialequationswithdelay |