A method for constructing solutions to linear systems of partial differential equations

2007 ◽  
Vol 17 (2) ◽  
pp. 144-152
Author(s):  
A. A. Shlapunov
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Linear Systems ◽  
Partial Differential

scholarly journals TWO-POINT PROBLEM FOR LINEAR SYSTEMS OF PARTIAL DIffERENTIAL EQUATIONS

2021 ◽  
Vol 9 (2) ◽  
pp. 99-110
Author(s):  
M. Symotiuk
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Linear Systems ◽  
Fourier Coefficients ◽  
Point Problem ◽  
Exponential Behavior ◽  
Partial Differential ◽  
Smooth Functions ◽  
Linear Partial Differential Equations ◽  
Solvability Problem

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.

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