On the Oscillation for Third-order Nonlinear Neutral Functional Differential Equations
YU Yuan-hong
Abstract
YU Yuan-hong
Abstract
The purpose of this paper is to study the oscillation of third-order nonlinear neutral functional differential equations.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.
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The purpose of this paper is to study the oscillation of third-order nonlinear neutral functional differential equations.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.
Key concepts: Nonlinear system, Oscillation (cell signaling), Mathematics, Riccati equation, Functional differential equation, Differential equation, Mathematical analysis, Zero (linguistics)