GENERALIZED RESOLVENTS OF OPERATORS GENERATED BY INTEGRAL EQUATIONS
Journal Title: Проблемы анализа-Issues of Analysis - Year 2018, Vol 7, Issue 2
Abstract
We define a minimal operator L_0 generated by an integral equation with an operator measure and give a description of the adjoint operator L∗_0. We prove that every generalized resolvent of L_0 is an integral operator and give a description of boundary value problems associated to generalized resolvents.
Authors and Affiliations
V. M. Bruk
Keywords
Related Articles
- EP ID EP437229
- DOI 10.15393/j3.art.2018.4630
- Views 95
- Downloads 0
ПЕРЕСЕЧЕНИЕ МНОЖЕСТВА ЭКСТРЕМАЛЬНЫХ ФУНКЦИЙ ДЛЯ ДВУХ ФУНКЦИОНАЛОВ
В работе исследована экстремальная задача для линейного функционала в классе U' α. В частности, получен вид экстремальной функции.
A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the...
THE DAMASCUS INEQUALITY
In 2016 Prof. Fozi M. Dannan from Damascus, Syria, proposed an interesting inequality for three positive numbers with unit product. It became widely known but was not proved yet in spite of elementary formulation. In thi...
ON SOME HARMONIC FUNCTIONS RELATED TO HOLOMORPHIC FUNCTIONS WITH A POSITIVE REAL PART
In the paper we examine some holomorphic functions and complex harmonic functions, which satisfy certain conditions of a Mocanu kind. We also consider their relations with appropriate coefficient conditions. The paper is...
О СВЯЗИ ПОЛИАНАЛИТИЧЕСКИХ ФУНКЦИЙ И ФУНКЦИЙ БЛОХА
It is studies the properties of polyanalytic functions which follow by properties of Bloch functions in this paper.