(Differencialnie Uravnenia i Protsesy Upravlenia)

About
History
Editorial Page
Addresses
Scope
Editorial Staff
Submission Review
For Authors
Publication Ethics
Issues
Русская версия

**E. M. Elabbasy**

Department of Mathematics,

Faculty of Science,

Mansoura University, Mansoura,

35516, Egypt.

**A. A. S. Zaghrout**

Department of Mathematics,

Faculty of Science,

AI-Azhar University,

Nasr-city, P.O. Box 9019.

11765 Cairo, Egypt.

**H. M. Elshebany**

Department of Mathematics,

Faculty of Science,

AI-Azhar University,

Nasr-city, P.O. Box 9019.

11765 Cairo, Egypt.

By using averaging functions, several new oscillation criteria are established for the half-linear damped differential equation

and the more general equation

where where p,q ,r:[t0, ∞)->R and ψ,g: R->R are continuous, r(t)>0, p(t)≥0 and ψ(x)>0, xg(x)>0 for x≠0, α>1 a fixed real number. Our results generalize and extend some known oscillation criteria in the literature