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Asymptotic Solutions of Linear Volterra Integral Equations with Singular Kernels

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The first author was supported in part by Army Resea.rch Office, Durham through contract DA-ARO-D-31-124-72-G95. The second author was supported in part by National Research Council of Canada under contract A7359.

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https://doi.org/10.1142/9789814656054_0004Cited by:0 (Source: Crossref)

Abstract:

Volterra integral equations of the form , are considered, where a(t) ∈ C(O, ∞) ∩ L₁(0, 1). Explicit asymptotic forms are obtained for the solutions, when the kernels a(t) have a specific asymptotic representation.