Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping

By Aydin Tiryaki, Mustafa Fahri Aktas. 2007

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Abstract In this paper, we are concerned with the oscillation of third order nonlinear delay differential equations of the form ( r 2 ( t ) ( r 1 ( t ) y ′ ) ′ ) ′ + p ( t ) y ′ + q ( t ) f ( y ( g ( t ) ) ) = 0 . By using a generalized Riccati transformation and integral averaging technique, we establish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero. In particular, several examples are given to illustrate the importance of our results.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

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