On generalized solvability of variable nonlinear integral equations on cones
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125352
Abstract: Abstract We study the solvability of multidimensional nonlinear integral equations whose operator is a sum of the Nemytsky and Urysohn type operators, and the desired solution belongs to a cone in a space of summable… read more here.
Keywords: generalized solvability; integral equations; variable nonlinear; solvability variable ... See more keywords
Generalized Solvability of a Parabolic Model Describing Transfer Processes in Domains with Thin Inclusions
Sign Up to like & getrecommendations! Published in 2021 at "Differential Equations"
DOI: 10.1134/s0012266121080097
Abstract: We study a system of first-order partial differential equations with generalized functions as coefficients that describes the heat and mass transfer process in domains with thin inclusions. It is proved that the operator of the… read more here.
Keywords: generalized solvability; parabolic model; thin inclusions; domains thin ... See more keywords