PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 68(82), pp. 92104 (2000) 

Integral Averaging Techniques for Oscillation of Second Order Nonlinear DifferentialEquations With DampingJelena V. Manojlovi\'cPrirodnomatematicki fakultet, Nis, YugoslaviaAbstract: New oscillation criteria are established for the second order nonlinear differential equation with a damping term $$ [a(t)\psi(x(t))x'(t)]'+p(t)x'(t)+q(t)f(x(t))=0. $$ These criteria are obtained by using an integral averaging technique. Moreover, we give conditions which ensure that every solution $x(t)$ of the forced second order differential equation with a damping term $$ [a(t)\psi(x(t))x'(t)]'+p(t)x'(t)+q(t)f(x(t))=r(t) $$ satisfies $\liminf_{t\to\infty} x(t)=0$. Keywords: Oscillation, Nonlinear differential equations, Integral averages Classification (MSC2000): 34C10; 34C15 Full text of the article:
Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 6 Feb 2002.
© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
