The basis property of a system of root functions of a nonlocal problem for a third-order equation with a parabolic-hyperbolic operator

2000 ◽  
Vol 36 (3) ◽  
pp. 417-422
Author(s):  
A. S. Berdyshev
Keyword(s):  
Nonlocal Problem ◽  
Basis Property ◽  
Order Equation ◽  
Hyperbolic Operator ◽  
Third Order ◽  
Root Functions ◽  
System Of Root Functions

SOLVABILITY OF A NON–LOCAL PROBLEM FOR A THIRD—ORDER EQUATION WITH THE HEAT OPERATOR IN THE MAIN PAR

2020 ◽  
pp. 20-30
Author(s):  
О.С. Зикиров ◽  
М.М. Сагдуллаева
Keyword(s):  
Heat Equation ◽  
Existence And Uniqueness ◽  
Main Part ◽  
Nonlocal Problem ◽  
Integral Condition ◽  
Order Equation ◽  
Local Problem ◽  
Heat Operator ◽  
Third Order ◽  
Non Local

В работе доказаны теоремы существования и единственности регулярных решений одной нелокальной задаче с интегральным условием для уравнения третьего порядка с оператором теплопроводности в главной части. Доказательство основано на сведение поставленной задачи к смешанной задаче для нагруженного уравнения теплопроводности. In this paper, we considered the solvability of a nonlocal problem with integral condition for a thirdorder equation with head operatot in the main part. The existence and uniqueness of a regular solution to this problem are proved. The proof is based on reducing a non-local problem to the mixed problem for a loaded heat equation

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