complex deviating argument
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Conditions for Factorization of Linear Differential-Difference Equations

Tatra Mountains Mathematical Publications ◽

10.2478/tmmp-2013-0008 ◽

2013 ◽

Vol 54 (1) ◽

pp. 93-99

Author(s):

Klara R. Janglajew ◽

Kim G. Valeev

Keyword(s):

Linear System ◽

Small Parameter ◽

Difference Equations ◽

Integral Manifold ◽

Sufficient Conditions ◽

System Of Differential Equations ◽

Deviating Argument ◽

Constant Coefficients ◽

Complex Deviating Argument ◽

Linear Differential

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.

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Periodic Solutions of a Type of Liénard Higher Order Delay Functional Differential Equation with Complex Deviating Argument

Abstract and Applied Analysis ◽

10.1155/2012/702456 ◽

2012 ◽

Vol 2012 ◽

pp. 1-12 ◽

Cited By ~ 1

Author(s):

Haiqing Wang

Keyword(s):

Periodic Solutions ◽

Functional Differential Equations ◽

Neutral Type ◽

Sufficient Conditions ◽

Coincidence Degree ◽

Higher Order ◽

Deviating Argument ◽

Complex Deviating Argument ◽

Existence Of Periodic Solutions ◽

Functional Differential

The author has studied the existence of periodic solutions of a type of higher order delay functional differential equations with neutral type by using the theory of coincidence degree, and some new sufficient conditions for the existence of periodic solutions have been obtained.