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Zbl 1201.34100
Murugadass, Sowdaiyan; Thandapani, Ethiraju; Pinelas, Sandra
Oscillation criteria for forced second-order mixed type quasilinear delay differential equations.
(English)
[J] Electron. J. Differ. Equ. 2010, Paper No. 73, 9 p., electronic only (2010). ISSN 1072-6691/e

This article presents new oscillation criteria for the second-order delay differential equation $$(p(t) (x'(t))^{\alpha})' + q(t) x^{\alpha}(t - \tau) + \sum_{i = 1}^{n} q_{i}(t) x^{\alpha_{i}}(t - \tau) = e(t)$$ where $\tau \geq 0$, $p\in C^1[0, \infty)$, $q,q_{i}, e\in C[0, \infty)$, $p(t) > 0$, $\alpha_1 >\dots > \alpha_{m} > \alpha > \alpha_{m+1} > \dots > \alpha_{n} > 0\ (n > m\geq 1)$, $\alpha_1, \dots , \alpha_{n}$ and $\alpha$ are ratios of odd positive integers.
MSC 2000:
*34K11 Oscillation theory of functional-differential equations

Keywords: interval oscillation; quasilinear delay differential equation

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