The oscillation and asymptotically monotone solutions of second-order quasilinear differential equations
β Scribed by Patricia J.Y. Wong; Ravi P. Agarwal
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 918 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0096-3003
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π SIMILAR VOLUMES
## Abstract We give constructive proof of the existence of vanishing at infinity oscillatory solutions for a secondβorder perturbed nonlinear differential equation. In contrast to most results reported in the literature, we do not require oscillatory character of the associated unperturbed equation
We consider the periodic scalar neutral functional differential equation Ε½ .w Ε½ . Ε½ . Ε½ .x Ε½ Ε½ .. Ε½ Ε½ .. drdt x t y c t x t y s yh t, x t q h t y , x t y , where c is continuously differentiable, h is increasing in its second argument, and both c and h are 1-periodic in the t-variable. The two time-