TUPROQ NAMLIGI VA YER OSTI SUVLARI DINAMIKASINI MODELLASHTIRISH PAYTIDA YUZAGA KELADIGAN BITTA CHEGARA MUAMMOSIDA.

In this paper, we study a nonlocal boundary value problem with the Poincare condition for an equation o f elliptic - hyperbolic type o f the second kind, i.e. for the equation where the line o f degeneracy is the characteristic. Due to the mathematical content and the presence of numerous applications in the study o f problems in mechanics, physics, technology [1] and biology, the study o f boundary value problems for degenerate elliptic equations and equations o f mixed type is in the focus o f specialists in partial differential equations. Further, it was found that nonlocal boundary conditions arise in the problems o f predicting soil moisture [2], when modeling liquid filtration in porous media [3], in mathematical modeling of laser radiation processes and problems o f plasma physics [4], as well as in questions o f mathematical biology [5].