Unbounded perturbations of forced second order ordinary differential equations at resonance
β Scribed by R Iannacci; M.N Nkashama
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 862 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
## 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 __
## 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