Some sufficient conditions are obtained for the oscillation of forced neutral differential equations with positive and negative coefficients
Forced oscillation of second-order nonlinear differential equations with positive and negative coefficients
✍ Scribed by A. Özbekler; J.S.W. Wong; A. Zafer
- Book ID
- 108052642
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 237 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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📜 SIMILAR VOLUMES
In this paper, two new oscillation criteria for forced second-order nonlinear differential equations of the form (~(,)~(~(~)) W(~)r -~ ~'(~))' + ~(~)i(~(,)) = e(~), ~ >\_ ~o, are established. Our results are based on the information on a sequence of subintervals of [to, c~) only, rather than on the
t ## Ž . , ␦ g R , G ␦ , are obtained where R t q H Q u du y 1 is allowed to x ϱ w Ž . Ž oscillate and the condition H s P s y Q s y q ␦ H P u y Q u y q t s 0 .x ␦ du ds s ϱ is not necessary. Some examples are given, which show that the results here are almost sharp.
Some sufficient conditions are obtained for oscillation of all solutions of the first-order impulsive differential equation with positive and negative coefficients Our results improve the known results in the literature.