A boundary value problem for a third-order equation of mixed type

2009 ◽  
Vol 80 (1) ◽  
pp. 565-568 ◽  
Author(s):  
K. B. Sabitov
Keyword(s):  
Boundary Value Problem ◽  
Mixed Type ◽  
Boundary Value ◽  
Order Equation ◽  
Third Order ◽  
Equation Of Mixed Type

scholarly journals Boundary value problem with integral conditions for a linear third-order equation

2003 ◽  
Vol 2003 (11) ◽  
pp. 553-567 ◽  
Author(s):  
M. Denche ◽  
A. Memou
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Strong Solution ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Integral Boundary Conditions ◽  
Order Equation ◽  
Integral Conditions ◽  
Third Order ◽  
Integral Boundary

We prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the generated operator.

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