Discrete Calculus By Analogy

Discrete Calculus By Analogy

Indexed in: Scopus

Discrete Hilbert-type inequalities including Hilbert's inequality are important in mathematical analysis and its applications. In 1998, the author presented an extension of Hilbert's integral ...
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Boundary Value Problems

Pp. 82-100 (19)

F. A. Izadi

Abstract

The theory of discrete value problems and their connections to the spectral theory of operators are discussed in this chapter. These problems can be interpreted as the discrete analog of the mathematical physics equations in one dimension. These include auxiliary problem scheme, coincidence condition of a boundary value problem on its auxiliary problem, the type of problems coinciding with their auxiliary problems, the necessary condition for existence of the boundary value problem and finally the boundary value problem on an infinite domain.

Affiliation:

Toronto Canada