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PRINCIPAL MATRIX SOLUTIONS AND VARIATION OF PARAMETERS FOR VOLTERRA INTEGRO-DYNAMIC EQUATIONS ON TIME SCALES

Published online by Cambridge University Press:  10 March 2011

MURAT ADIVAR
MURAT ADIVAR*
Affiliation:
Department of Mathematics, Izmir University of Economics35330, Balcova, Izmir, Turkey e-mail: murat.adivar@ieu.edu.tr
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Abstract

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We introduce the principal matrix solution Z(t, s) of the linear Volterra-type vector integro-dynamic equation and prove that it is the unique matrix solution of We also show that the solution of is unique and given by the variation of parameters formula

Keywords

34N0545D0539A1345J05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 3 , September 2011 , pp. 463 - 480
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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