On reduction formulas for linear systems of operator equations

Jovovic, Ivana

doi:10.2298/bg20130520jovovic

Cited by 2 publications

(2 citation statements)

References 26 publications

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“…In [12] and [11] we have considered a partial and a total reduction of linear systems of operator equations with the system matrix in the companion form. Papers [12,11,10] and [13] expand our research to non-homogeneous linear systems of operator equations involving more than one operator.…”

Section: Introductionmentioning

confidence: 99%

Linear Systems of Differential Equations in Arrowhead Form

Jovovic

2021

FU Math Inform

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This paper deals with different approaches for solving linear systems of the first order differential equations with the system matrix in the symmetric arrowhead form.Some needed algebraic properties of the symmetric arrowhead matrix are proposed.We investigate the form of invariant factors of the arrowhead matrix.Also the entries of the adjugate matrix of the characteristic matrix of the arrowhead matrix are considered. Some reductions techniques for linear systems of differential equations with the system matrix in the arrowhead form are presented.

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Section: Introductionmentioning

confidence: 99%

Linear Systems of Differential Equations in Arrowhead Form

Jovovic

2021

FU Math Inform

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“…The paper [2] deals with the total reduction of the systems of this form in two or three variables. Some applications of the total reduction method for solving systems of differential equations also can be found there.…”

Section: Introductionmentioning

confidence: 99%

Differential transcendence of solutions of systems of linear differential equations based on total reduction of the system

Jovovic¹

2020

APPL ANAL DISCRETE M

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In this paper we consider total reduction of the nonhomogeneous linear system of operator equations with constant coefficients and commuting operators. The totally reduced system obtained in this manner is completely decoupled. All equations of the system differ only in the variables and in the nonhomogeneous terms. The homogeneous parts are obtained using the generalized characteristic polynomial of the system matrix. We also indicate how this technique may be used to examine differential transcendence of the solution of the linear system of the differential equations with constant coefficients over the complex field and meromorphic free terms.

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On reduction formulas for linear systems of operator equations

Cited by 2 publications

References 26 publications

Linear Systems of Differential Equations in Arrowhead Form

Linear Systems of Differential Equations in Arrowhead Form

Differential transcendence of solutions of systems of linear differential equations based on total reduction of the system

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