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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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
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
@article{10_1017_S0017089511000073,
author = {ADIVAR, MURAT},
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/}
}
TY - JOUR AU - ADIVAR, MURAT TI - PRINCIPAL MATRIX SOLUTIONS AND VARIATION OF PARAMETERS FOR VOLTERRA INTEGRO-DYNAMIC EQUATIONS ON TIME SCALES JO - Glasgow mathematical journal PY - 2011 SP - 463 EP - 480 VL - 53 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000073/ DO - 10.1017/S0017089511000073 ID - 10_1017_S0017089511000073 ER -
%0 Journal Article %A ADIVAR, MURAT %T PRINCIPAL MATRIX SOLUTIONS AND VARIATION OF PARAMETERS FOR VOLTERRA INTEGRO-DYNAMIC EQUATIONS ON TIME SCALES %J Glasgow mathematical journal %D 2011 %P 463-480 %V 53 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000073/ %R 10.1017/S0017089511000073 %F 10_1017_S0017089511000073
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