Solvability of a nonlocal boundary-value problem for the operator-differential equation with weak nonlinearity in a refined scale of Sobolev spaces

2016 ◽  
Vol 218 (1) ◽  
pp. 1-15 ◽  
Author(s):  
Volodymyr S. Il’kiv ◽  
Nataliya I. Strap
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Sobolev Spaces ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Operator Differential Equation ◽  
Nonlocal Boundary Value Problem ◽  
Weak Nonlinearity

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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