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Constructing Lyapunov Functions for Nonlinear Delay-Differential Equations using Semidefinite Programming
Delay-Differential Equations Lyapunov Functions
2015/6/19
The search for a polynomial Lyapunov function proving delay-independent stability of multivariate nonlinear polynomial delay differential equations is approached using semidefinite programming. The fu...
Stability of Impulsive Stochastic Partial Delay Differential Equations with Markovian Jumps
impulse mild solution asymptotical stability Markovian jumps
2012/9/26
Based on the fixed point theory, the asymp totical stability of mild solution to impulsive stochastic partial differential equations with infinite delays and Markovian jumps is studied. In addition, s...
Pydelay - a python tool for solving delay differential equations
python tool differential equations
2010/4/7
pydelay is a python library which translates a system of delay differential equations into C-code and simulates the code using scipy weave.
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...
ASYMPTOTIC BEHAVIOR OF MULTISTEP RUNGE-KUTTA METHODS FOR SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS
Stability multistep Runges-Ku
2007/12/10
This paper deals with the asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations (DDEs). With the help of K.J.in't Hout's analytic technique for the numerical...
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...