scholarly journals Nonlocal problem for a third order partial differential equation of mixed type with an integral two-space-variables condition

2017 ◽  
Vol 2017 ◽  
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Mixed Type ◽  
Nonlocal Problem ◽  
Order Partial Differential Equation ◽  
Third Order ◽  
Partial Differential ◽  
Equation Of Mixed Type

scholarly journals Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type

2001 ◽  
Vol 26 (7) ◽  
pp. 417-426 ◽  
Author(s):  
M. Denche ◽  
A. L. Marhoune
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Boundary Conditions ◽  
Mixed Problem ◽  
Mixed Type ◽  
Order Partial Differential Equation ◽  
Third Order ◽  
Partial Differential ◽  
Integral Boundary ◽  
Equation Of Mixed Type

We study a mixed problem with integral boundary conditions for a third-order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the considered problem.

scholarly journals A note on the nonlocal boundary value problem for a third order partial differential equation

Filomat ◽  
2018 ◽  
Vol 32 (3) ◽  
pp. 801-808 ◽  
Author(s):  
Kh. Belakroum ◽  
A. Ashyralyev ◽  
A. Guezane-Lakoud
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Stability Estimates ◽  
Order Partial Differential Equation ◽  
Nonlocal Boundary Value Problem ◽  
Third Order ◽  
Partial Differential

The nonlocal boundary-value problem for a third order partial differential equation in a Hilbert space with a self-adjoint positive definite operator is considered. Applying operator approach, the theorem on stability for solution of this nonlocal boundary value problem is established. In applications, the stability estimates for the solution of three nonlocal boundary value problems for third order partial differential equations are obtained.

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