Cordial Volterra Integral Equations 2
作者： Gennadi Vainikko
DOI: 10.1080/01630561003666234
关键词: Volterra integral equation 、 Spectrum (functional analysis) 、 Operator (computer programming) 、 Mathematics 、 Mathematical analysis 、 Collocation 、 Space (mathematics) 、 Polynomial
摘要: We study the mapping properties and spectra of (cordial) Volterra integral operators form , 0 ≤ t ≤ T, where ϕ ∊L 1(0, 1), a ∊ C m (0 ≤ s ≤ t ≤ T), m ≥ 0. Also polynomial collocation methods for solving equation μu = V ϕ, a u + f is examined. Here μ real or complex parameter outside spectrum V as an operator in space C[0, T].
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