Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity

Onur Alp İlhan

Abstract and Applied Analysis, 2012, vol. 2012, 1-13

Abstract:

An integral equation of Volterra type with additional compact operator in Banach space is considered. A special case is an integral equation of contact problem that arises in theory of viscoelasticity of mixed Fredholm and Volterra type with spectral parameter depending on time. In case the initial value of the parameter coincides with some isolated point of the spectrum of compact operator, the conditions of solvability are established.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:717969

DOI: 10.1155/2012/717969

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