Showing math.APShow all
3 papers · 1 filter
math.AP2024
Existence of solutions for some systems of superdiffusive integro-differential equations in population dynamics depending on the natality and mortality rates
Vitali Vougalter
We prove the existence of stationary solutions for some systems of reaction-diffusion type equations with superdiffusion in the corresponding H^2 spaces. Our method is based on the…
math.AP2024
Stability and instability of constant stationary solutions to some integro-differential equations
Yuming Chen, Vitali Vougalter
We consider some reaction-diffusion equations describing systems with the nonlocal consumption of resources and the intraspecific competition. Sharp conditions on the coefficients…
math.AP2009
Solvability Conditions for Some non Fredholm Operators
Vitali Vougalter, Vitaly Volpert
We obtain solvability conditions for some elliptic equations involving non Fredholm operators with the methods of spectral theory and scattering theory for Schrodinger type operato…