Solvability of infinite differential systems of the form x ′ ( t ) = Tx ( t ) + b where T is either of the triangles C ( λ ) or N q
نویسندگان
چکیده
In this paper, we are interested in solving infinite linear systems of differential equations of the form x′ (t) = Tx (t) + b with x(0) = x0, where T is either the generalized Cesàro operator C (λ) or the weighted mean matrix Nq, x0 and b are two given infinite column matrices and λ is a sequence with non-zero entries. We use a new method based on Laplace transformations to solve these systems.
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تاریخ انتشار 2012