Second order nonlinear differential equations with linear impulse and periodic boundary conditions
โ Scribed by Aydin Huseynov
- Book ID
- 106348310
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 131 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0862-7940
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Abstract In the present manuscript we analyze non-linear multi-order fractional differential equation $$L\left( D \right)u\left( t \right) = f\left( {t,u\left( t \right)} \right), t \in \left[ {0,T} \right], T > 0,$$ where $$L\left( D \right) = \lambda \_n ^c D^{\alpha \_n } + \lambda \_{n - 1} ^c D
This paper considers the second order integro-differential equations with impulses. Some sufficient conditions for the existence of solutions are proposed by using monotone iterative method and Schauder fixed point theorem. Moreover, new concepts of lower and upper solutions are introduced for nonli