On Some Partial Integral Equations Arising in the Mechanics of Solids
J. AppellUniversity of Würzburg, Department of Mathematics, Am Hubland, D-97074 Würzburg, GermanyA. S. KalitvinPedagogical Institute of Lipetsk, Department of Mathematics, ul. Lenina 42, R-398020 Lipetsk, Russian FederationM. Zuhair NashedUniversity of Delaware, Department of Mathematical Sciences, Newark, DE 19716, USA
1999en
ABI
Аннотация
We study several problems from physics and engineering whose mathematical modelling leads to partial integral equations involving functions of two variables. In particular, we give an explicit description of the essential spectra of the corresponding partial integral operators. This allows us to derive existence, uniqueness, and well-posedness results which are useful for the approximate solution and numerical analysis of the equations involved.
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