Boundary value problems for coupled systems of second order differential equations with a singularity of the first kind: explicit solutions

Lucas Jódar

Displaying similar documents to “Boundary value problems for coupled systems of second order differential equations with a singularity of the first kind: explicit solutions”

An algebraic approach for solving boundary value matrix problems: existence, uniqueness and closed form solutions.

Lucas A. Jódar Sanchez (1988)

Revista Matemática de la Universidad Complutense de Madrid

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In this paper we show that in an analogous way to the scalar case, the general solution of a non homogeneous second order matrix differential equation may be expressed in terms of the exponential functions of certain matrices related to the corresponding characteristic algebraic matrix equation. We introduce the concept of co-solution of an algebraic equation of the type X^2 + A1.X + A0 = 0, that allows us to obtain a method of the variation of the parameters for the matrix case and...

Solving two-point boundary value problems for the non monic regular matrix differential equation $A X^{(2)} (t) - B X (t) = F (t)$

Navarro, E., Jódar, L. (1991)

Portugaliae mathematica

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A numerical method of matrix spectral factorization

Zdeněk Vostrý (1972)

Kybernetika

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Generalized solutions of ordinary linear differential equations in the Colombeau algebra

Jan Ligęza (1993)

Mathematica Bohemica

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In this paper first order systems of linear of ODEs are considered. It is shown that these systems admit unique solutions in the Colombeau algebra $ℒ (𝐑^{1})$ .

Boundary-Value Problems for almost Nonlinear Singularly Perturbed Systems of Ordinary Differential Equations

Karandjulov, L., Stoyanova, Y. (2000)

Serdica Mathematical Journal

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A boundary-value problems for almost nonlinear singularly perturbed systems of ordinary differential equations are considered. An asymptotic solution is constructed under some assumption and using boundary functions and generalized inverse matrix and projectors.

Displaying similar documents to “Boundary value problems for coupled systems of second order differential equations with a singularity of the first kind: explicit solutions”

An algebraic approach for solving boundary value matrix problems: existence, uniqueness and closed form solutions.

Solving two-point boundary value problems for the non monic regular matrix differential equation A X ( 2 ) ( t ) - B X ( t ) = F ( t )

A numerical method of matrix spectral factorization

Generalized solutions of ordinary linear differential equations in the Colombeau algebra

Boundary-Value Problems for almost Nonlinear Singularly Perturbed Systems of Ordinary Differential Equations

Solving two-point boundary value problems for the non monic regular matrix differential equation $A X^{(2)} (t) - B X (t) = F (t)$