Author: S. G. Pyatkov
Publisher: Walter de Gruyter
Keywords: problems, nonclassical, posed, series, iii, inverse, operator, theory
Number of Pages: 348
Published: 2002-05
List price: $330.00
ISBN-10: 9067643637
ISBN-13: 9789067643634

This monograph deals with mathematical methods applicable to studying nonclassical problems of mathematical physics. Many problems of this type are reduced to equations, where the operators involved are noninvertible. In this case, the author uses special decompositions of an operator, generalized resolvents, semigroups with kernels, and some other approaches. The simplest model of this type is the first order operator-differential equation with a noninvertible operator in front of the derivative. The corresponding spectral problems arising here are the well-known problems for linear pencils.