The book Some Remarks Concerning the Bremmer Series was written by author Irvin W Kay Here you can read free online of Some Remarks Concerning the Bremmer Series book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Some Remarks Concerning the Bremmer Series a good or bad book?
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After the substitution u(x) = K(x)v(x) there results in place of (i|-. L) the differential equation v'(x) = [-K"-'-(x)K'(x) + k"^(x)A(x)k(x)]v(x) . {h. 2) The solution given in this section is due to Keller and Keller. p] 11 - The differential equation (i4-. 2) is a generalization of the system (2. 10-11). Let the diagonal elements of the matrix k' (x)K'(x) be 7 (x) . Then define the matrix Y(x) as the solution of the differential equation Y'(x) = [-r(x) + K-^(x)A(x)K(x)]Y(x), (U. 3) where r(x)... is the diagonal part of k" (x)K'(x). The matrix Y(x) is diagonal and can be calculated explicitly since the matrix factor of Y(x) on the right of (4. 3) is diagonal. The solution Y(x) is determined except for an arbitrary constant diagonal matrix factor which can be taken to be the identity. The n-th diagonal element of Y(x) will have the form Y (x) = exp n X / 7^(s)ds + / K^(s) ds ■- o (h. K) Now define the vector p(x) by v(x) = Y(x)p(x) and substitute into (i
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