PRINCIPAL MATRIX SOLUTIONS AND VARIATION OF PARAMETERS FOR VOLTERRA INTEGRO-DYNAMIC EQUATIONS ON TIME SCALES
Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 463-480

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DOI

We introduce the principal matrix solution Z(t, s) of the linear Volterra-type vector integro-dynamic equationand prove that it is the unique matrix solution ofWe also show that the solution ofis unique and given by the variation of parameters formula
DOI : 10.1017/S0017089511000073
Mots-clés : 34N05, 45D05, 39A13, 45J05
ADIVAR, MURAT. PRINCIPAL MATRIX SOLUTIONS AND VARIATION OF PARAMETERS FOR VOLTERRA INTEGRO-DYNAMIC EQUATIONS ON TIME SCALES. Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 463-480. doi: 10.1017/S0017089511000073
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     title = {PRINCIPAL {MATRIX} {SOLUTIONS} {AND} {VARIATION} {OF} {PARAMETERS} {FOR} {VOLTERRA} {INTEGRO-DYNAMIC} {EQUATIONS} {ON} {TIME} {SCALES}},
     journal = {Glasgow mathematical journal},
     pages = {463--480},
     year = {2011},
     volume = {53},
     number = {3},
     doi = {10.1017/S0017089511000073},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000073/}
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