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http://dx.doi.org/10.4134/CKMS.2004.19.2.293

TROTTER-KATO TYPE APPROXIMATIONS OF CONVOLUTED SOLUTION OPERATOR FAMILIES  

Kim, Mi-Hi (Department of Mathematics Kyung Hee University)
Publication Information
Communications of the Korean Mathematical Society / v.19, no.2, 2004 , pp. 293-305 More about this Journal
Abstract
Trotter-Kato type approximations of the convoluted solution operator families for the Volterra integral equations (V $E_n$): v(t)=$A_{n} \int_0^t v(t-s) d\mu_n(s) +  f_n(t), t \geq 0$ and the convergence of the solutions to the equations (V $E_n$) are studied.
Keywords
convoluted solution operator family; integrated solution operator family; Laplace transform; Trotter-Kato type approximation; Volterra equation;
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Times Cited By KSCI : 1  (Citation Analysis)
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