An ill-posed nonlocal two-point problem for systems of partial differential equations

2005 ◽  
Vol 46 (1) ◽  
pp. 94-102 ◽  
Author(s):  
V. S. Il’kiv ◽  
B. I. Ptashnyk
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Point Problem ◽  
Partial Differential ◽  
Ill Posed

SAINT-VENANT TYPE DECAY RESULTS FOR ILL-POSED ELLIPTIC PROBLEMS

2000 ◽  
Vol 10 (05) ◽  
pp. 771-783 ◽  
Author(s):  
KAREN A. AMES ◽  
LAWRENCE E. PAYNE
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Elliptic Problems ◽  
Vital Role ◽  
Cylindrical Domain ◽  
Differential Inequalities ◽  
Partial Differential ◽  
First Order ◽  
Decay Of Solutions ◽  
Ill Posed

Differential inequalities play a vital role in the study of ordinary and partial differential equations. In this paper we make use of first-order differential inequalities to investigate the decay of solutions to two ill-posed elliptic problems in a semi-infinite cylindrical domain.

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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