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Necessary and Sufficient Conditions for Oscillation of Second-Order Delay Differential Equations
| Content Provider | Scilit |
|---|---|
| Author | Santra, Shyam Sundar |
| Copyright Year | 2020 |
| Description | In this work, we obtain necessary and sufficient conditions for the oscillation of all solutions of second-order half-linear delay differential equation of the form ( r ( x ′ ) γ ) ′ ( t ) + q ( t ) x α ( τ ( t ) ) = 0 {\left( {r{{\left( {x'} \right)}^\gamma }} \right)^\prime }\left( t \right) + q\left( t \right){x^\alpha }\left( {\tau \left( t \right)} \right) = 0 Under the assumption $∫^{∞}(r(n))^{−1/γ}$dη=∞, we consider the two cases when γ > α and γ < α. Further, some illustrative examples showing applicability of the new results are included, and state an open problem. |
| Related Links | https://content.sciendo.com/downloadpdf/journals/tmmp/75/1/article-p135.pdf |
| e-ISSN | 13389750 |
| DOI | 10.2478/tmmp-2020-0009 |
| Journal | Tatra Mountains Mathematical Publications |
| Issue Number | 1 |
| Volume Number | 75 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2020-04-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Tatra Mountains Mathematical Publications Tatra Mountains Mathematical Publications Mathematical Physics Sufficient Conditions |
| Content Type | Text |
| Resource Type | Article |
