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Start Over Author "Ahmed M. Elshenhab" Journal applied mathematics and computation
1 results on '"Ahmed M. Elshenhab"'

1. Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices

Author

Xing Tao Wang and Ahmed M. Elshenhab

Subjects
0209 industrial biotechnology, Laplace transform, Applied Mathematics, Linear system, MathematicsofComputing_NUMERICALANALYSIS, 020206 networking & telecommunications, 02 engineering and technology, Differential systems, Computational Mathematics, Matrix (mathematics), 020901 industrial engineering & automation, Matrix function, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, 0202 electrical engineering, electronic engineering, information engineering, Applied mathematics, Permutable prime, Representation (mathematics), Commutative property, Mathematics
Abstract

Nonhomogeneous linear systems of second order differential equations with pure delay and multiple delays are considered. Representations of their solutions without a commutativity assumption on the matrix coefficients are obtained by using delayed matrix functions and Laplace transform. Our results improve and extend previous results.

Published
2021
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