Search

Your search keyword '"Self-adjoint operator"' showing total 1 results
Start Over Descriptor "Self-adjoint operator" Publication Year Range Last 3 years Journal azerbaijan journal of mathematics
1 results on '"Self-adjoint operator"'

1. On the Existence and Uniqueness of Generalized Solutions of Second Order Partial Operator-Differential Equations.

Author

Aslanov, H. I. and Hatamova, R. F.

Subjects
*HILBERT space, *BINOMIAL equations, *EXISTENCE theorems, *EQUATIONS, *SELFADJOINT operators
Abstract

In this paper, we consider the existence and uniqueness of the generalized solution of a second order partial operator-differential equation in Hilbert space. To this end, at first we prove lemmas on possibility of continuation of some functional generated by the minor terms of the equation on all the Hilbert space. Then we prove a theorem on the existence of a unique generalized solution of a binomial non-homogeneous equation. Using this theorem we prove the existence and uniqueness of the generalized solution of the given operator-differential equation. [ABSTRACT FROM AUTHOR]

Published
2022

Catalog

Books, media, physical & digital resources
See catalog results