A note on the matrix solutionof the problem XΔ = AX, X(t0) = I

  • Authors:

  • L. Adamec

  • Affiliations:

  • Department of MathematicsJanákovo nám 2a 662 95 BRNO, Czech Republic and Mathematical Institute, Czech Academy of Sciencesikova 22, 616 62 BRNO, Czech Republic

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2004

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Abstract

In this note, we give an interesting representation of the matrix solution of the initial problem X^@D = AX, X(t"0) = I on time scales. Our approach does not require to compute eigenvalues of matrix A, but we are limited on time scales, which are, in a sense, not more complicated than the middle-third Cantor set.