Conditions for factorization of linear differential-difference equations

Year, pages: 2013, 93 - 99

The paper deals with a linear system of differential equations of the form

$$ ((dX(t)) / (dt)) = A X(t) + μ∑_k=1ⁿA_k X(t+τ_k) $$

with constant coefficients, a small parameter and complex deviating argument. Sufficient conditions for factorizing of this system are presented. These conditions are obtained by construction of an integral manifold of solutions to the considered system.

Janglajew, K., Valeev, K. 2013. Conditions for factorization of linear differential-difference equations. In Tatra Mountains Mathematical Publications, vol. 54, no.1, pp. 93-99. 1210-3195.

Janglajew, K., Valeev, K. (2013). Conditions for factorization of linear differential-difference equations. Tatra Mountains Mathematical Publications, 54(1), 93-99. 1210-3195.