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Warianty tytułu
Języki publikacji
Abstrakty
The paper discusses a linear differential-difference equation of neutral type with linear coefficients, when at the initial time moment t = 0 the value of the desired function x(t) is known. The authors are not familiar with any results which would state the solvability conditions for the given problem in the class of analytical functions. A polynomial of some degree N is introduced into the investigation. Then the term "polynomial quasisolution" (PQ-solution) is understood in the sense of appearance of the residual Δ(t) = O(tN), when this polynomial is substituted into the initial problem. The paper is devoted to finding PQ-solutions for the initial-value problem under analysis.
Czasopismo
Rocznik
Tom
Strony
431--443
Opis fizyczny
Bibliogr. 6 poz.
Twórcy
autor
autor
- Institute of System Dynamics and Control Theory of Sib. Dep. RAS. Irkutsk, Russia, vbcher@icc.ru
Bibliografia
- [1] A.D. Myshkis, Linear differential equations with delayed argument, Gostexizdat, Moscow, 1951 (in Russian).
- [2] E. Pinni, Ordinary differential difference equations, Univ. of Calif. Press., Berkeley and Los Angeles, 1958.
- [3] R. Bellman, K.L. Cooke, Differential difference equations, Academic Press, New York -London, 1963.
- [4] N.V. Azbelev, V.P. Maksimov, L.F. Rakhmatullina, Introduction to the theory of functional differential equations, Nauka, Moscow, 1991 (in Russian).
- [5] V.B. Cherepennikov. Polynomial quasisolutions of linear systems of differential-difference equations. Izv. VUZOV. Mathematics, 1999, N10 - P.49-58.
- [6] G.I. Antoshkina, B. Cherepennikov. Investigation of polynomial quasisolutions of differential-difference equations linear systems based on a mathematical experiment. Optimization, Control, Intellect, Irkutsk, 2000, N5 - P. 15-27.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGH4-0007-0094