Oscillation of Second-Order Differential Equations with Mixed Argument
β Scribed by J. Dzurina
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 199 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0022-247X
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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
1 Ε½ Ε½ .. Ε½ . where ) 0 is any quotient of odd integers, a g C R, 0, Ο± , q g C R, R , Ε½ . Ε½ . Ε½ . fgC R, R , xf x ) 0, f Π x G 0 for x / 0. Some new sufficient conditions for Ε½ . the oscillation of all solutions of ) are obtained. Several examples that dwell upon the importance of our results are als
## Abstract In this paper, we establish some new criteria for the oscillation of second order forced nonlinear differential equations (__r__ (__t__ )__x__ β²(__t__ ))β² + __p__ (__t__ )__x__ β²(__t__ ) + __q__ (__t__ )__f__ (__x__ (__t__ )) = __e__ (__t__ ) in both cases when __q__ (__t__ ) < 0 and __