Fredholm property of boundary value problems for a fourth-order elliptic differential-operator equation with operator boundary conditions

2014 ◽  
Vol 50 (2) ◽  
pp. 213-219 ◽  
Author(s):  
B. A. Aliev ◽  
Ya. Yakubov
Keyword(s):  
Differential Operator ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Operator Equation ◽  
Fourth Order ◽  
Boundary Value ◽  
Fredholm Property ◽  
Elliptic Differential Operator ◽  
Differential Operator Equation

scholarly journals SOLVABILITY OF BOUNDARY VALUE PROBLEMS WITH TRANSMISSION CONDITIONS FOR DISCONTINUOUS ELLIPTIC DIFFERENTIAL OPERATOR EQUATIONS

2016 ◽  
Vol 12 (1) ◽  
pp. 5842-5857
Author(s):  
Mustafa Kandemir
Keyword(s):  
Differential Operator ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Discontinuous Coefficients ◽  
Transmission Conditions ◽  
Elliptic Differential Operator ◽  
Operator Equations

We consider nonlocal boundary value problems which includes discontinuous coefficients elliptic differential operator equations of the second order and nonlocal boundary conditions together with boundary-transmission conditions. We prove coerciveness and Fredholmness for these nonlocal boundary value problems.

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