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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

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14 papers · 1 filter

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.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…

math.AP2021

Behavior of Solutions Nonlinear Reaction-Diffusion PDE's Relation to Dynamics of Propagation of Cancer

Kamal N. Soltanov

In this paper, we propose a new mathematical model nonlinear reaction-diffusion PDE's describing the dynamics of propagation of cancer. Here the mixed problem for the proposed PDE'…

math.AP2021

Behavior of solutions and chaos in nonlinear reaction-diffusion PDE's related to cancer

Kamal N. Soltanov

In this paper, we study the mixed problem for new class of nonlinear reaction-diffusion PDEs with the nonlocal nonlinearity with variable exponents. Here we obtain results on solva…

math.AP2020

On uniqueness of weak solutions of the incompressible Navier-Stokes equations

Kamal N. Soltanov

In this article the question on uniqueness of weak solution of the incompressible Navier-Stokes Equations in the 3-dimensional case is studied. Here the investigation is carried ou…