Premium
On Some Partial Integral Equations Arising in the Mechanics of Solids
Author(s) -
Appell J.,
Kalitvin A.S.,
Nashed M.Z.
Publication year - 1999
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199910)79:10<703::aid-zamm703>3.0.co;2-w
Subject(s) - uniqueness , integral equation , partial differential equation , mathematics , fourier integral operator , mathematical analysis , partial derivative , calculus (dental) , medicine , dentistry
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.