We prove existence and uniqueness theorems for some classes of nonlinear fractional differential equations.
Existence, Uniqueness, and Comparison Results for a Differential Equation with Discontinuous Nonlinearities
✍ Scribed by Seppo Heikkilä; Martti Kumpulainen; Seppo Seikkala
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 150 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of __T__ ‐periodic solutions for a class of nonlinear __n__ ‐th order differential equations with delays of the form __x__^(__n__)^(__t__) + __f__ (__x__^(__n‐__ 1)^(__t__)) + _
An initial-value problem modelling coagulation and fragmentation processes is studied. The results of earlier papers are extended to models where either one or both of the rates of coagulation and fragmentation depend on time. An abstract integral equation, involving the solution operator to the lin
We present new oscillation criteria for a nonlinear second order differential equation with a damping term. An essential feature of our results is that we do not require the nonlinearity to be nondecreasing. Furthermore, as opposed to the Ž recent results by S.