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This paper deals with the relationship between asymptotic behavior
of the numerical solution and that of the true solution itself for
fixed step-sizes. The numerical solution is viewed as a dynamica...
Asymptotic Behavior of Solutions to a Class of Systems of Delay Differential Equations
asymptotic behavior delay differential equation $\omega$-limit set
2007/12/10
The authors investigate the asymptotic behavior of solutions to a class of systems of delay differential equations. It is shown that every bounded solution of such a class of systems tends to a cons...
Oscillation of nonlinear neutral delay differential equations of second-order with positive and negative coefficients
Delay differential equations neutral nonlinear oscillation second-order
2010/2/25
Some oscillation criteria for the following second-order neutral differential equation [x(t)\pm r(t) f( x(t-g))]''+p(t) g(x(t-a)) -q(t) g(x(t-b )) = s(t) where t\geq t0, g,a,b \in R+ with a \geq b, r ...
Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients
Neutral differential equations, positive and oscillating coefficients
2010/2/25
A criterion is established on the bounded solutions of type higher-order nonlinear neutral differential equations of type oscillatory or tending to zero at infinity [a(t) [x(t)+r(t)x(k(t))]^{(n-1]' +p...