## 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
Oscillation of systems of second order differential equations
β Scribed by E.C Tomastik
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 335 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
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 __