Conditions for factorization of linear differential-difference equations
Janglajew, Klara R. ; Valeev, Kim Galjamovich
Tatra Mountains Mathematical Publications, Tome 55 (2013), / Harvested from Mathematical Institute
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The paper deals with a linear system of differential equations of the form$$\frac{dX(t)}{dt} = A X(t) + \mu\sum_{k=1}^{n}A_k X(t+\tau_k)$$with constant coefficients, a small parameter and complex deviating argument.Sufficient conditions for factorizing of this system are presented. This conditions are obtained by construction of an integral manifold of solutions to the considered system.

Publié le : 2013-01-01
DOI : https://doi.org/10.2478/tatra.v54i0.211 
@article{211,
     title = {Conditions for factorization of linear differential-difference equations},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {55},
     year = {2013},
     doi = {10.2478/tatra.v54i0.211},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/211}
}

Janglajew, Klara R.; Valeev, Kim Galjamovich. Conditions for factorization of linear differential-difference equations. Tatra Mountains Mathematical Publications, Tome 55 (2013) . doi : 10.2478/tatra.v54i0.211. http://gdmltest.u-ga.fr/item/211/