Solving two-point boundary value problems for the non monic regular matrix differential equation
Navarro, E., Jódar, L. (1991)
Portugaliae mathematica
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Navarro, E., Jódar, L. (1991)
Portugaliae mathematica
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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...
Yongge Tian, Yonghui Liu (2006)
Rendiconti del Seminario Matematico della Università di Padova
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J.-H. Evertse, R. Tijdeman (1996)
Compositio Mathematica
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Tadeusz Kaczorek (2010)
International Journal of Applied Mathematics and Computer Science
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The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one,...
Shen-Chi Tang (1965)
Collectanea Mathematica
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Joao-Paulo Dias, Mário Figueira (1991)
Revista Matemática de la Universidad Complutense de Madrid
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In this paper we prove the existence of a weak solution for a given semilinear singular real hyperbolic system.