Vitali Vougalter

University of Toronto — Canada

Computer Science · Physical Sciences

12h-index374citations74works0.22yr avg
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Research Topics

Advanced Mathematical Modeling in Engineering(42), Differential Equations and Numerical Methods(37), Spectral Theory in Mathematical Physics(20), Fractional Differential Equations Solutions(17), Differential Equations and Boundary Problems(17)

Publications74 total

Existence of stationary solutions for some integro-differential equations with the double scale anomalous diffusion
European Journal of Mathematics·2025
On the solvability of some systems of quadratic integral equations in dimensions two and three
arXiv (Cornell University)·2025Open Access
On the existence of stationary solutions for certain systems of integro-differential equations with the double scale anomalous diffusion
arXiv (Cornell University)·2025Open Access
Stability and Instability of Constant Stationary Solutions to Some Integro-Differential Equations for Population Dynamics
La Matematica·2025
Existence of solutions for some systems of superdiffusive integro-differential equations in population dynamics depending on the natality and mortality rates
Complex Variables and Elliptic Equations·2025
Persistence of pulses for certain reaction-diffusion equations in dimensions two and three
arXiv (Cornell University)·2024Open Access
Solvability of some integro-differential equations with the logarithmic Laplacian
Applicable Analysis·2024· 2 cited
Existence of solutions for some systems of superdiffusive integro-differential equations in population dynamics depending on the natality and mortality rates
arXiv (Cornell University)·2024Open Access
Stability and instability of constant stationary solutions to some integro-differential equations
arXiv (Cornell University)·2024Open Access
Existence of Solutions for a Class of Integro-Differential Equations With the Logarithmic Laplacian and Transport
La Matematica·2024
On the solvability of some systems of integro-differential equations with and without a drift
Complex Variables and Elliptic Equations·2024
On the well-posedness of some model arising in the mathematical biology
arXiv (Cornell University)·2024Open Access
Solvability of a class of systems of quadratic integral equations
arXiv (Cornell University)·2024Open Access
On solvability of some systems of Fredholm integro-differential equations with mixed diffusion in a square
European Journal of Mathematics·2024
Solvability in the sense of sequences for some linear and nonlinear Fredholm operators with the logarithmic Laplacian
Complex Variables and Elliptic Equations·2024· 1 cited
On the solvability of some systems of integro-differential equations with and without a drift
arXiv (Cornell University)·2024Open Access
Solvability of some integro-differential equations with the double scale anomalous diffusion in higher dimensions
Monatshefte für Mathematik·2023
On the solvability of some systems of integro-differential equations with transport and concentrated sources
Complex Variables and Elliptic Equations·2023
Solvability of some Fredholm integro-differential equations with mixed diffusion in a square
Discrete and Continuous Dynamical Systems - S·2023· 1 citedOpen Access
Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources
Journal of Dynamics and Differential Equations·2022
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Frequent Co-authors

Vitaly Volpert(21), Messoud Efendiev(13), Walid Abou Salem(3), Thomas Chen(3), László Erdős(1), Michael Loss(1), David D. Damanik(1), Andrei Martínez Finkelshtein(1), Alex Iosevich(1), Jean-Marie Barbaroux(1), C. Connell McCluskey(1)