IJPAM: Volume 48, No. 2 (2008)
OSCILLATION CRITERIA FOR SECOND ORDER
DIFFERENTIAL EQUATIONS WITH DISTRIBUTED
DEVIATING ARGUMENTS AND A DAMPING TERM
DIFFERENTIAL EQUATIONS WITH DISTRIBUTED
DEVIATING ARGUMENTS AND A DAMPING TERM
Hui-Zeng Qin
, Youmin Lu
Department of Mathematics and Information Technology
Shandong University of Technology
Zibo, Shandong, P.R. CHINA
e-mail: qinhz_000@163.com
Department of Mathematics and Computer Science
Bloomsburg University,
Bloomsburg, PA 17915, USA
e-mail: ylu@bloomu.edu
, Youmin Lu
Department of Mathematics and Information Technology
Shandong University of Technology
Zibo, Shandong, P.R. CHINA
e-mail: qinhz_000@163.com
Department of Mathematics and Computer Science
Bloomsburg University,
Bloomsburg, PA 17915, USA
e-mail: ylu@bloomu.edu
Abstract.We study the second order differential equation
![$[r(x)\psi (y(x))(y(x)+c(x)y(d(x)))^{\prime }]^{\prime }+\int_{\alpha }^{\beta }a(x,\theta )f(y(b(x,\theta )))d\theta =0$](img3.png){kind=small}
and establish some criteria for the solutions of this equation to be oscillatory that extend the existing results.
Received: August 20, 2008
AMS Subject Classification: 34C10, 34K11, 34K40
Key Words and Phrases: oscillatory, second order non-linear differential equations, distributed arguments, damping term
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 48
Issue: 2
