Comparison Theorems for Second-Order Functional Differential Equations
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Proceedings |
| Conference | Recent Advances in Delay Differential and Difference Equations Springer Proceedings in Mathematics & Statistics Volume 94, 2014, pp 87-103 |
| MU Faculty or unit | |
| Citation | |
| Web | http://link.springer.com/chapter/10.1007/978-3-319-08251-6_2 |
| Doi | http://dx.doi.org/10.1007/978-3-319-08251-6_2 |
| Field | General mathematics |
| Keywords | Half-linear equation; Oscillation; Intermediate solution |
| Description | The effect of the deviating argument on the existence of nonoscillatory solutions for second-order differential equations with p-Laplacian is studied by means of the comparison with a half-linear equation. As a consequence, necessary and sufficient conditions for the existence of the so-called intermediate solutions are given and the coexistence with different types of nonoscillatory solutions is analyzed. Moreover, new oscillation results are established too. |
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