On equations with delay depending on solution
โ Scribed by Alexander Domoshnitsky; Michael Drakhlin; Elena Litsyn
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 104 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we study differentiability of solutions with respect to parameters in state-dependent delay equations. In particular, we give sufficient conditions for differentiability of solutions in the W 1, p norm (1 p< ). In establishing our main results we make use of a version of the Uniform Co
A superlinear first-order differential-functional equation is considered with a delay depending on the unknown function. Sufficient conditions are provided for the existence of positive solutions to the equation under consideration.
The asymptotic behaviour of the solutions of the differential equations ## (r(t)x'(t))' + f(t,x(t),x(A(t,x(t)))) = 0 in the case when fog ds/r(s)= +oo is considered.
Oscillation and nonoscillation of the second order differential equation with delay depending on the unknown function in the case when โ ds/r(s) < โ holds are consider. The results obtained in this paper can be conjugated with the theorems given by Bainov et al. [