Open AccessTWO-POINT PROBLEM FOR LINEAR SYSTEMS OF PARTIAL DIffERENTIAL EQUATIONS
Author(s) -
M. M. Symotiuk
Publication year - 2021
Publication title -
bukovinsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 2309-4001
DOI - 10.31861/bmj2021.02.08
Subject(s) - mathematics , mathematical analysis , variable (mathematics) , exponential dichotomy , partial differential equation , exponential function , fourier transform , point (geometry) , linear differential equation , exponential integrator , differential equation , ordinary differential equation , geometry , differential algebraic equation
The problem with two nodes on the selected variable $t$ and periodicity conditions in other coordinates $x_1,\ldots,x_p$ for linear partial differential equations is investigated. The conditions of solvability problem in the spaces of smooth functions with exponential behavior of Fourier coefficients are established. The estimates for characteristic determinants of the problem are proved.