Fredholm Property of a Nonlocal Boundary Value Problem for an Integral-Differential Equation of Elliptic Type in a Cube

This paper deals with a boundary value problem for a three-dimensional integro-differential equation of elliptic type with nonlocal boundary conditions in a unit cube.Singular necessary conditions of solvability are derived, the regularization of which is carried out according to a new original scheme.Based on the regularized necessary conditions, in combination with boundary conditions, the Fredholm property of the problem is proved.

Authors

Publication Details

Journal
Azerbaijan Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.59849/2218-6816.2025.2.37
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Fredholm Property of a Nonlocal Boundary Value Problem for an Integral-Differential Equation of Elliptic Type in a Cube

Y. Y. Mustafayeva
Azerbaijan Journal of Mathematics
Differential Equations and Boundary Problems
article

Fredholm Property of a Nonlocal Boundary Value Problem for an Integral-Differential Equation of Elliptic Type in a Cube

Y. Y. Mustafayeva
article en

Abstract

This paper deals with a boundary value problem for a three-dimensional integro-differential equation of elliptic type with nonlocal boundary conditions in a unit cube.Singular necessary conditions of solvability are derived, the regularization of which is carried out according to a new original scheme.Based on the regularized necessary conditions, in combination with boundary conditions, the Fredholm property of the problem is proved.

Azerbaijan Journal of Mathematics(02)
Openalex Percentile: Top 71%
Differential Equations and Boundary Problems
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Fredholm Property of a Nonlocal Boundary Value Problem for an Integral-Differential Equation of Elliptic Type in a Cube — Y. Y. Mustafayeva · Azerbaijan Journal of Mathematics (2025) | TGRS Research Map | TGRS