논문KCI 등재
Trotter-Kato type approximations of convoluted solution operator families
대한수학회 (The Korean Mathematical Society)|2004.04|대한수학회논문집 (Communications of the KMS)|제19권 제2호|pp. 293-305
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Trotter-Kato type approximations of the convolutedsolution operator families for the Volterra integral equations(VE_n){hskip-0.1cm}: v(t) = A_n int_0^t v (t-s)dmu_n (s) +f_n (t), tge 0 and the convergence of the solutions to theequations (VE_n ) are studied.
Abstract
Trotter-Kato type approximations of the convolutedsolution operator families for the Volterra integral equations(VE_n){hskip-0.1cm}: v(t) = A_n int_0^t v (t-s)dmu_n (s) +f_n (t), tge 0 and the convergence of the solutions to theequations (VE_n ) are studied.
참고문헌 (6)
- "\rmn a}$umer and F. Neubrander \paperLaplace transform methods for evolution equations \jour Conf.Semin. Mat. Univ. Bari \vol 259 \yr 1994 \pages 27--60"
- "and approximations of Laplacetransforms in Banach spaces \jour Appl. Anal. \vol 49 \yr 1993\pages 151--170"
- "Abstract Volterra equations" (1995), Louisiana State University
- "Remarks on Volterra equations in Banach spaces", 12(4), pp.1039~1064 (1997)
- "C. Lizama\paper On the convergence andapproximation of integrated semigroups\jour J. Math. Anal. Appl.\vol 181 \yr 1994 \pages 89--103"
- "S. Nicaise\paper The Hille-Yosida and Trotter-Katotheorems for integrated semigroups\jour J. Math. Anal. Appl.\vol180 \yr 1993 \pages 303--316"
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