TY - JOUR
AU - Zh.А. Sartabanov,
AU - G.M.Aitenova,
PY - 2019/12/12
Y2 - 2022/08/13
TI - MULTIPERIODIC SOLUTIONS OF LINEAR SYSTEMS INTEGRO-DIFFERENTIAL EQUATIONS WITH c D -OPERATOR AND -PERIOD OF HEREDITARY
JF - Известия НАН РК. Серия информатики
JA - СФМН
VL -
IS - 6
SE - Статьи
DO -
UR - https://journals.nauka-nanrk.kz/physics-mathematics/article/view/1697
SP - 106-122
AB - <p>The article explores the questions of the initial problem and the problem of the multiperiodicity<br>solutions of linear systems integro-differential equations with an operator of the form<br>describe hereditary phenomena. Along with the equation of zeros of the operator c D are considered linear systems<br>of homogeneous and inhomogeneous integro-differential equations, sufficient conditions are established for the<br>unique solvability of the initial problems for them, both necessary and sufficient conditions of multiperiodic<br>existence are obtained of the solutions. The integral representations of multiperiodic<br>solutions of linear inhomogeneous systems are determined 1) in the particular case when the corresponding<br>homogeneous systems have exponential dichotomy and 2) in the general case when the homogeneous systems do not<br>have multiperiodic solutions, except for the trivial one.</p>
ER -