A Nonlocal Problem for a Third Order Parabolic-Hyperbolic Equation with a Spectral Parameter

2021 ◽  
Vol 42 (6) ◽  
pp. 1274-1285
Author(s):  
Q. S. Khalilov
Keyword(s):  
Hyperbolic Equation ◽  
Spectral Parameter ◽  
Nonlocal Problem ◽  
Third Order

Construction of Green’s functional for a third order ordinary differential equation with general nonlocal conditions and variable principal coefficient

2020 ◽  
Vol 27 (4) ◽  
pp. 593-603 ◽  
Author(s):  
Kemal Özen
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Nonlocal Problem ◽  
Nonlocal Conditions ◽  
Adjoint Problem ◽  
Linear Ordinary Differential Equation ◽  
Third Order ◽  
Order Ordinary Differential Equation ◽  
Order Linear ◽  
Theoretical Results

AbstractIn this work, the solvability of a generally nonlocal problem is investigated for a third order linear ordinary differential equation with variable principal coefficient. A novel adjoint problem and Green’s functional are constructed for a completely nonhomogeneous problem. Several illustrative applications for the theoretical results are provided.

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