Differential-Difference Equations

Differential-Difference Equations

 

equations relating an argument and an unknown function and the latter’s derivatives and increments (differences). For example, y’ = kΔy, where y = y(x) and Δy = y(x + h) - y(x). Substituting the last expression into the initial equation shows that the differential-difference equation is a special case of a differential equation with a diverging argument. Therefore, differential-difference equations are studied within the framework of this wider class of equations.

References in periodicals archive ?
It was demonstrated that structural forms can transition from differential-difference equations to the model in state space in terms of the model of a controlled object in the state space.
Hereman: Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations, Comput.
Ladik: Nonlinear differential-difference equations, J.
Liu: Periodic solutions for a class of nonlinear differential-difference equations, Commun.
Singh, A Liapunov inequality and nonoscillation theorem for a second order nonlinear differential-difference equations, J.
They cover Fourier and wavelet analysis, the Laplace transform, probability, statistics, difference and differential-difference equations, and stochastic processes.
The system of Kolmogorov forward differential-difference equations to describe M/M/1 feedback queue is given by (2.
Based on the above assumptions and by the Chapman-Kolmogorov forward differential-difference equations, the state probabilities [P.
they contain equations, inequalities, differential equations and differential-difference equations.
Oscillation of the bounded solutions of impulsive differential-difference equations of second order.
MIURA, Singular perturbation analysis of boundary-value problems for differential-difference equations.
Fitted mesh, finite difference, singular perturbation, differential-difference equation, delay, boundary layer, action potential
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