Oscillation criteria of fractional differential equations
โ Scribed by Da-Xue Chen
- Book ID
- 119906740
- Publisher
- Springer International Publishing AG
- Year
- 2012
- Tongue
- English
- Weight
- 204 KB
- Volume
- 2012
- Category
- Article
- ISSN
- 1687-1839
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Abstract In this paper we initiate the oscillation theory for fractional differential equations. Oscillation criteria are obtained for a class of nonlinear fractional differential equations of the form $D\_a^q x + f\_1 (t,x) = v(t) + f\_2 (t,x),\mathop {\lim }\limits\_{t \to a} J\_a^{1 - q} x(t) = b
We present new oscillation criteria for certain classes of second-order nonlinear differential equations and delay differential equations obtained by using an integral averaging technique. Our theorems complement a number of existing results and handle the cases which are not covered by known criter
Some new results on oscillation and nonoscillation for delay differential equations with impulses are established. A counterexample is given which shows that a known oscillation criterion is incorrect.