Error Bounds for the Truncation of Infinite Linear Differential Systems |
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| Authors: | CHEW, K. H. SHIVAKUMAR, P. N. WILLIAMS, J. J. |
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| Affiliation: | P. P. Sains Matematik, Universiti Sains Malaysia Penang, Malaysia
Department of Applied Mathematics, University of Manitoba Winnipeg, Manitoba, R3T2N2, Canada |
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| Abstract: | An infinite system of linear differential equations of the form = Ax + f, x(0) = y is considered, wherex, y and f are infinite column vectors in E, and A is a constantinfinite matrix defining a bounded operator on E, where E isl1, (c0), or l . Explicit error bounds are obtained for the approximationof the solution of the infinite system by the solutions of thefinite truncated systems. |
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