Construction of an integral manifold for linear differential-difference equations

• Autorzy: Janglajew K. R. , Valeev K. G.
• Języki publikacji: EN

Abstrakty

EN

In this paper we establish sufficient conditions for the existence of an asymptotic integral manifold of solutions of a linear system of differential-difference equations with a small parameter. This integral manifold is described by a linear system of differential equations without deviating argument.

Słowa kluczowe

EN

system with deviating argument; integral manifold of solutions; fundamental matrix; exponential dichotomy

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2006
• Tom: Vol. 26, no. 3
• Strony: 465--470
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Janglajew K. R.

autor

Valeev K. G.

• University of Białystok, Institute of Mathematics, 15-267 Białystok, Poland,

Bibliografia

• [1] N.V. Azbelev, V.P. Maksimov, L.F. Rakhmatullina, Methods of modern theory of linear functional differential equations, R&C Dynamics, Moscow-Izhewsk, 2000 (in Russian).
• [2] A.D. Myshkis, On certain problems in the theory of differential equations with deviating argument, Uspekhi Mat. Nauk 32 (1977), No. 2, 173-202 (In Russian).
• [3] K.G. Valeev, Splitting of matrix spectra, 'Vishcha Shkola', Kiev, 1986 (in Russian).
• [4] K.G Valeev, O.A. Zhautykov, Infinite Systems of differential equations, 'Nauka', Kazah. SSR, Alma-Ata, 1974 (in Russian).