ISSN:
1420-8903
Keywords:
Primary 45L10
;
Secondary 65R
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary We report on a double series variational solution, which is applicable with any admissible value ofλ, for the class of integral equations $$f(\upsilon ) - \lambda \int_a^b {K(\upsilon ,x)f(x)dx = g(\upsilon )} $$ with a nondegenerate kernelK(v, x) ∈ ℰ 2 (a ≤ x ≤ b). Integrals with the variablex, weighted byK, which depends uponv, serve as basis in the representation off(v) − g(v) by this solution. The functional weights are shown to be certain rational functions ofK and of its partial derivativesK x andK xx , which are all bivariantly discretized inv.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01837977
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