Conditions for Factorization of Linear Differential-Difference Equations

Klara R. Janglajew; Kim G. Valeev

doi:10.2478/tmmp-2013-0008

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Conditions for Factorization of Linear Differential-Difference Equations

Tatra Mountains Mathematical Publications

Volume 54 (2013): Issue 1 (April 2013)

By: Klara R. Janglajew and Kim G. Valeev

Open Access

|Jul 2013

Abstract

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

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2013-0008 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 93 - 99

Published on: Jul 4, 2013

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

linear functional-differential equations,

factorization,

integral manifold of solutions

Related subjects:

Mathematics,

General mathematics

© 2013 Klara R. Janglajew, Kim G. Valeev, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 54 (2013): Issue 1 (April 2013)