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.
Positive solutions of a superlinear first-order differential equation with delay depending on the unknown function
β Scribed by Drumi Bainov; Pavel Simeonov
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 265 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
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.
π SIMILAR VOLUMES
Oscillation and nonoscillation of the second order differential equation with delay depending on the unknown function in the case when β ds/r(s) < β holds are consider. The results obtained in this paper can be conjugated with the theorems given by Bainov et al. [
In the paper, the existence of positive solutions is studied for the second-order delay differential equation with a damping term Explicit non-oscillation criteria and comparison type results are derived.