activity
20122025
most citedPerturbation of the mapping and solvability theorems in Banach space

6 citations · 24 across the 23 of their papers we have counts for

collaborators

23 papers

math.AP2025

Remarks on smoothness and finite-time blowup solutions of the incompressible Navier-Stokes equation

Kamal N. Soltanov

This article examines the smoothness of the solution to the Navier-Stokes equation from a novel perspective. Here, the existence of the smoother solution relative to x and to the t…

math.AP2024

Remarks on the uniqueness of weak solutions of the incompressible Navier-Stokes equations

Kamal N. Soltanov

This article studies the uniqueness of the weak solution of the incompressible Navier-Stokes Equations in the 3-dimensional case. Here, the investigation is provided using two diff…

math.FA2023

Some Remarks on the Spectrum of Nonlinear Continuous Operators

Kamal N. Soltanov

In this article, the existence of the spectrum (the eigenvalues) for the nonlinear continuous operators acting in the Banach spaces is investigated. For the study, this question is…

math.FA2023★ 3 cited

Certain Results For a Class of Nonlinear Functional Spaces

Kamal N. Soltanov, Ugur Sert

In this article, we study the properties of a class of functional spaces which arise from the investigation of nonlinear differential equations. We establish some integral inequali…

math.FA2023★ 6 cited

Perturbation of the mapping and solvability theorems in Banach space

Kamal N. Soltanov

Here we consider a perturbation of continuous mappings on Banach spaces and investigate their image under various conditions. Consequently, we study the solvability of some classes…

math.AP2022

Some general fixed-point theorems for nonlinear mappings connected with one Cauchy theorem

Kamal N. Soltanov

In this work, using a new geometrical approach we study to the existence of the fixed-point of mappings that independence of the smoothness, and also of their single-values or mult…