Problem for differential-algebraic equations with a significant loads
Елеулi жүктемелерi бар дифференциалдық-алгебралық теңдеулер үшiн есеп
Задача для дифференциально-алгебраических уравнений с существенными нагрузками
Assanova A.T. Kadirbayeva Z.M. Medetbekova R.A. Mynbayeva S.T.
2024E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2024#113Issue 146 - 59 pp.
In this article, the problem for a differential-algebraic equation with a significant loads is studied. Unlike previously studied problems for differential equations with a significant loads, in the considered equation, there is a matrix in the left part with a derivative that is not invertible. Therefore, the system of equations includes both differential and algebraic equations. To solve the problem, we propose a modification of the Dzhumabaev’s parametrization method. The considered problem is reduced to a parametric problem for the differential-algebraic equation with significant loads. We apply the Weierstrass canonical form to this problem. We obtain parametric initial value problem for a differential equations and an algebraic equations with a significant loads. The solvability conditions for the considered problem are established.
differential-algebraic equations , equations with significant loads , parameter , parametric initial value problem , solution
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The Department of Differential Equations and Dynamical Systems, Institute of Mathematics and Mathematical Modeling, 28 Shevshenko street, Almaty, 050010, Kazakhstan
International Information Technology University, Almaty, Kazakhstan
Shymkent University, mcr Nurtas, 101 Taibekov street, Shymkent, 160000, Kazakhstan
K. Zhubanov Aktobe Regional University, Aktobe, Kazakhstan
The Department of Differential Equations and Dynamical Systems
International Information Technology University
Shymkent University
K. Zhubanov Aktobe Regional University
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