Oscillations of Second Order Nonlinear ODE with Impulses
β Scribed by Chen Yong-shao; Feng Wei-zhen
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 239 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In this paper, we are mainly concerned with the second order nonlinear difference equation with continuous variable. Here, by using the iterated integral transformations, generalized Riccati transformations, and integrating factors, we give some oscillatory criteria for this equation.
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.
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