期刊
ADVANCES IN APPLIED MATHEMATICS
卷 39, 期 3, 页码 329-344出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aam.2006.06.002
关键词
matrix differential equations; matrix exponential; exponential polynomials; dynamic solution; convolutions; matrix difference equations
We use elementary methods and operator identities to solve linear matrix differential equations and we obtain explicit formulas for the exponential of a matrix. We also give explicit constructions of solutions of scalar homogeneous equations with certain initial values, called dynamic solutions, that play an important role in the solution of homogeneous and non-homogeneous matrix differential equations. We show that the same methods can be used to solve linear matrix difference equations. (c) 2006 Elsevier Inc. All rights reserved.
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