On an inverse boundary value problem for pseudohyperbolic equation for the fourth order with integral condition of the first kind

10.12737/4714 ◽  
2014 ◽  
Vol 2 (4) ◽  
pp. 106-108
Author(s):  
Ya. Mergaliev
Keyword(s):  
Boundary Value Problem ◽  
Fourth Order ◽  
Boundary Value ◽  
Integral Condition ◽  
Inverse Boundary ◽  
Inverse Boundary Value Problem ◽  
Pseudohyperbolic Equation

scholarly journals On an inverse boundary value problem for the second order elliptic equation with additional integral condition

2013 ◽  
Author(s):  
Я.Т. Мегралиев
Keyword(s):  
Elliptic Equation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Integral Condition ◽  
Second Order ◽  
Order Elliptic Equation ◽  
Inverse Boundary ◽  
Inverse Boundary Value Problem ◽  
Second Order Elliptic Equation

В работе исследована одна обратная краевая задача для эллиптического уравнения второго порядка с дополнительным интегральным условием первого рода. Сначала исходная задача сводится к эквивалентной задаче, для которой доказывается теорема существования и единственности решения. Далее, пользуясь этими фактами, доказывается существование и единственность классического решения исходной задачи.

scholarly journals On an Inverse Boundary Value Problem for a Fourth Order Elliptic Equation with Integral Condition

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Yashar T. Mehraliyev
Keyword(s):  
Elliptic Equation ◽  
Boundary Value Problem ◽  
Fourth Order ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Initial Problem ◽  
Order Elliptic Equation ◽  
Inverse Boundary ◽  
Inverse Boundary Value Problem ◽  
Fourth Order Elliptic Equation

An inverse boundary value problem for a fourth order elliptic equation is investigated. At first the initial problem is reduced to the equivalent problem for which the existence and uniqueness theorem of the solution is proved. Further, using these facts, the existence and uniqueness of the classic solution of the initial problem are proved.

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