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
Oscillations of certain second order nonlinear differential equations
β Scribed by B. S. Lalli; B. G. Zhang; Tao Zhao
- Publisher
- Springer Netherlands
- Year
- 1992
- Tongue
- English
- Weight
- 334 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0031-5303
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
we present new oscillation criteria for the second-order nonlinear differential equations. These criteria involve the use of averaging functions. Our theorems are stated in general form; they complement and extend related results known in the literature. Also, the relevance of our results is to sho
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
In this paper we consider the second order nonlinear difference equation Γ 4 nondecreasing, and uf u ) 0 as u / 0, q is a real sequence. Some new n Ε½ . sufficient conditions for the oscillation of all solutions of 1 are obtained.