33 citations · 88 across the 14 of their papers we have counts for
19 papers
Solvability conditions for some non-Fredholm operators with shifted arguments
Vitali Vougalter, Vitaly Volpert
In the first part of the article we establish the existence in the sense of sequences of solutions in for some nonhomogeneous linear differential equation in which one o…
On the existence of stationary solutions for certain systems of integro-differential equations with the double scale anomalous diffusion
Vitali Vougalter, Vitaly Volpert
The work deals with establishing the solvability of a system of integro-differential equations in the situation of the double scale anomalous diffusion. Each equation of such syste…
Existence of stationary solutions for some integro-differential equations with the double scale anomalous diffusion
Vitali Vougalter, Vitaly Volpert
The paper is devoted to the investigation of the solvability of an integro-differential equation in the case of the double scale anomalous diffusion with a sum of two negative Lapl…
Solvability of some integro-differential equations with the logarithmic Laplacian
Vitali Vougalter, Vitaly Volpert
We address the existence in the sense of sequences of solutions for a certain integro-differential type problem involving the logarithmic Laplacian. The argument is based on the fi…
A qualitative analysis of a A-monomer model with inflammation processes for Alzheimer's disease
Ionel Ciuperca, Laurent Pujo-Menjouet, Leon Matar-Tine +2
We introduce and study a new model for the progression of Alzheimer's disease incorporating the interactions of A-monomers, oligomers, microglial cells and interleukins with neu…
Attractors and long transients in a spatio-temporal slow-fast Bazykin's model
Pranali Roy Chowdhury, Sergei Petrovskii, Vitaly Volpert +1
Spatio-temporal complexity of ecological dynamics has been a major focus of research for a few decades. Pattern formation, chaos, regime shifts and long transients are frequently o…