Oscillation and Nonoscillation Criteria for Second Order Nonlinear Differential Equations, I
โ Scribed by M.M.A. Elsheikh
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 354 KB
- Volume
- 179
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We present new oscillation criteria for the second order nonlinear perturbed differential equations. These criteria are of a high degree of generality and they extend and unify a number of existing results.
New oscillation and nonoscillation theorems are obtained for the second order ลฝ . ลฝ . w . ลฝ. linear differential equation uะ q p t u s 0, where p t g C 0, ฯฑ and p t G 0. ลฝ . w n n q 1 xลฝ Conditions only about the integrals of p t on every interval 2 t , 2 t ns 0 0 . 1, 2, . . . for some fixed t )
## Abstract This paper is concerned with the problem of deciding conditions on the coefficient __q__ (__t__) and the nonlinear term __g__ (__x__) which ensure that all nontrivial solutions of the equation (__|x__ โฒ|^ฮฑโ1^__x__ โฒ)โฒ + __q__ (__t__)__g__ (__x__) = 0, __ฮฑ__ > 0, are nonoscillatory. The
We study the oscillation and nonoscillation for the second order linear impulsive ลฝ . ลฝ . differential equation uะ s yp t u, where p t is an impulsive function defined by ลฝ . ฯฑ ลฝ . p t s ร a โฆ t y t , and we establish a necessary and sufficient condition for ลฝ . oscillation or nonoscillation of th