Construction of Normal-Regular Solutions of Inhomogeneous System of Partial Differential Equations of Second Order
Talipova M.
June 2025John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2025#48Issue 99618 - 9623 pp.
In this paper, we consider an inhomogeneous system of second-order partial differential equations with regular singularities at the point (0, 0). The Frobenius-Latysheva method is used to find normally regular solutions. A universal approach to constructing solutions in the vicinity of regular singularities has been developed, the number of linearly independent partial solutions has been determined, and compatibility and integrability conditions have been investigated. Concrete examples demonstrate the use of the method of uncertain coefficients to obtain partial solutions of inhomogeneous systems.
antirank , homogeneous system , inhomogeneous system , normal-regular solution , partial differential equations , rank
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K.Zhubanov Aktobe Regional University, Aktobe, Kazakhstan
K.Zhubanov Aktobe Regional University
10 лет помогаем публиковать статьи Международный издатель
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