Solvability in the sense of sequences for some non-Fredholm operators with the logarithmic Laplacian
M Efendiev, V Vougalter - Monatshefte für Mathematik, 2023 - Springer
We establish the solvability of certain linear nonhomogeneous equations and demonstrate
that under reasonable technical conditions the convergence in L 2 (R d) of their right sides …
that under reasonable technical conditions the convergence in L 2 (R d) of their right sides …
Solvability of some integro-differential equations with anomalous diffusion and transport
V Vougalter, V Volpert - Analysis and Mathematical Physics, 2021 - Springer
The article deals with the existence of solutions of an integro-differential equation in the case
of anomalous diffusion with the negative Laplace operator in a fractional power in the …
of anomalous diffusion with the negative Laplace operator in a fractional power in the …
Solvability in the sense of sequences for some non Fredholm operators
V Volpert, V Vougalter - 2013 - books.google.com
We study solvability of certain linear nonhomogeneous elliptic equations and prove that
under reasonable technical conditions the convergence in L2 of their right sides yields the …
under reasonable technical conditions the convergence in L2 of their right sides yields the …
On the solvability in the sense of sequences for some non-Fredholm operators related to the anomalous diffusion
V Vougalter, V Volpert - Analysis of pseudo-differential operators, 2019 - Springer
We study solvability of some linear nonhomogeneous elliptic problems and prove that under
reasonable technical conditions the convergence in L 2 (ℝ d) L^ 2 (\mathbb R^ d) of their …
reasonable technical conditions the convergence in L 2 (ℝ d) L^ 2 (\mathbb R^ d) of their …
Solvability in the sense of sequences for some logarithmic Schrödinger operators in higher dimensions
M Efendiev, V Vougalter - Journal of Pseudo-Differential Operators and …, 2023 - Springer
We study the solvability of certain linear nonhomogeneous equations containing the
logarithm of the sum of the two Schrödinger operators in higher dimensions and …
logarithm of the sum of the two Schrödinger operators in higher dimensions and …
Existence of stationary solutions for some integro-differential equations with anomalous diffusion
V Vougalter, V Volpert - Journal of Pseudo-Differential Operators and …, 2015 - Springer
The article deals with the existence of solutions of an integro-differential equation arising in
population dynamics in the case of anomalous diffusion involving the negative Laplace …
population dynamics in the case of anomalous diffusion involving the negative Laplace …
Solvability of some systems of integro-differential equations in population dynamics depending on the natality and mortality rates
V Vougalter, V Volpert - Arnold Mathematical Journal, 2024 - Springer
We establish the existence of stationary solutions for certain systems of reaction–diffusion-
type equations in the corresponding H 2 spaces. Our method relies on the fixed point …
type equations in the corresponding H 2 spaces. Our method relies on the fixed point …
Solvability of some integro-differential equations with anomalous diffusion
V Vougalter, V Volpert - … and Stochasticity of Nonlinear Dynamical Systems, 2017 - Springer
The paper deals with the existence of solutions of an integro-differential equation in the case
of the anomalous diffusion with the Laplace operator in a fractional power. The proof of …
of the anomalous diffusion with the Laplace operator in a fractional power. The proof of …
Existence of stationary solutions for some nonlocal reaction-diffusion equations
V Vougalter, V Volpert - Dynamics of Partial Differential Equations, 2015 - hal.science
The paper is devoted to the existence of solutions of a nonlocal reaction-diffusion equation
arising in population dynamics. The proof is based on a fixed point technique. We use …
arising in population dynamics. The proof is based on a fixed point technique. We use …
[PDF][PDF] On the solvability in the sense of sequences for some non-Fredholm operators
V Vougalter, V Volpert - Dyn. Partial Differ. Equ, 2014 - academia.edu
We investigate solvability of certain linear nonhomogeneous elliptic equations and establish
that under reasonable technical conditions the convergence in L2 (Rd) of their right sides …
that under reasonable technical conditions the convergence in L2 (Rd) of their right sides …