IJPAM: Volume 39, No. 1 (2007)

THE BEHAVIOUR OF SOLUTIONS OF
NONHOMOGENEOUS THIRD ORDER
DIFFERENTIAL EQUATIONS

Pakize Temtek
Department of Mathematics
Erciyes University
Kayseri, 38039, TURKEY
e-mail: temtek@erciyes.edu.tr


Abstract.In this paper, we consider the equation

\begin{displaymath} y^{'''}+q(t)(y')^{\gamma}+p(t)h(y)=f(t)\,, \end{displaymath}

where p , q and f are real valued continuous functions on $[\ 0,\infty)$ such that $p(t)\leq0$ , $q(t)\leq0$,$f(t)\geq0$,$\gamma>0$ is ration of odd integers and h is continuous in $(-\infty,\infty)$ such that $h(y)y>0$ for $y\neq 0$. We obtain sufficient conditions for solutions of the considered equation to be nonoscillatory.

Received: April 20, 2007

AMS Subject Classification: 34C15

Key Words and Phrases: third order nonlinear differential equations, nonoscillatory

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 39
Issue: 1