On Constants in Nonoscillation Criteria for Half-Linear Differential Equations
We study the half-linear differential equation (r(t)Φ(x′))′+c(t)Φ(x)=0, where Φ(x)=|x|p−2x, p>1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation. The results are closely related to the classical Hille-Nehari criteria and allow to replace the fixed con...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/638271 |
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| _version_ | 1832548927330582528 |
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| author | Simona Fišnarová Robert Mařík |
| author_facet | Simona Fišnarová Robert Mařík |
| author_sort | Simona Fišnarová |
| collection | DOAJ |
| description | We study the half-linear differential equation (r(t)Φ(x′))′+c(t)Φ(x)=0, where Φ(x)=|x|p−2x, p>1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation. The results are closely related to the classical Hille-Nehari criteria and allow to replace the fixed constants in known nonoscillation criteria by a certain one-parametric expression. |
| format | Article |
| id | doaj-art-ed557cafcd574991940de0941646f118 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ed557cafcd574991940de0941646f1182025-02-03T06:12:41ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/638271638271On Constants in Nonoscillation Criteria for Half-Linear Differential EquationsSimona 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 differential equation (r(t)Φ(x′))′+c(t)Φ(x)=0, where Φ(x)=|x|p−2x, p>1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation. The results are closely related to the classical Hille-Nehari criteria and allow to replace the fixed constants in known nonoscillation criteria by a certain one-parametric expression.http://dx.doi.org/10.1155/2011/638271 |
| spellingShingle | Simona Fišnarová Robert Mařík On Constants in Nonoscillation Criteria for Half-Linear Differential Equations Abstract and Applied Analysis |
| title | On Constants in Nonoscillation Criteria for Half-Linear Differential Equations |
| title_full | On Constants in Nonoscillation Criteria for Half-Linear Differential Equations |
| title_fullStr | On Constants in Nonoscillation Criteria for Half-Linear Differential Equations |
| title_full_unstemmed | On Constants in Nonoscillation Criteria for Half-Linear Differential Equations |
| title_short | On Constants in Nonoscillation Criteria for Half-Linear Differential Equations |
| title_sort | on constants in nonoscillation criteria for half linear differential equations |
| url | http://dx.doi.org/10.1155/2011/638271 |
| work_keys_str_mv | AT simonafisnarova onconstantsinnonoscillationcriteriaforhalflineardifferentialequations AT robertmarik onconstantsinnonoscillationcriteriaforhalflineardifferentialequations |