scholarly journals A uniqueness and Existence theorem for a singular third-order boundary value Problem on [0, ∞)

2002 ◽  
Vol 15 (4) ◽  
pp. 445-451 ◽  
Author(s):  
Daqing Jiang ◽  
R.P. Agarwal
Keyword(s):  
Boundary Value Problem ◽  
Existence Theorem ◽  
Boundary Value ◽  
Third Order ◽  
Uniqueness And Existence

scholarly journals Boundary value problem with a displacement for a hyperbolic equation of third order with a derivative under boundary conditions

2021 ◽  
pp. 38-44
Author(s):  
Р.Х. Макаова
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Hyperbolic Equation ◽  
Existence Theorem ◽  
Regular Solution ◽  
Boundary Value ◽  
Third Order ◽  
Order Hyperbolic Equation ◽  
Uniqueness And Existence

В работе исследована краевая задача со смещением для гиперболического уравнения третьего порядка, которая содержит производную в граничных условиях. Доказана теорема единственности и существования регулярного решения исследуемой задачи. The paper investigates a boundary value problem with a shift for a third-order hyperbolic equation, which contains a derivative in the boundary conditions. A uniqueness and existence theorem for a regular solution of the problem under study is proved.

scholarly journals On a third order initial boundary value problem in a plane domain

2012 ◽  
Vol 17 (3) ◽  
pp. 312-326
Author(s):  
Neringa Klovienė
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Auxiliary Problem ◽  
Fluid Motion ◽  
Three Dimensional ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Plane Domain ◽  
Third Order ◽  
Initial Boundary Value

Third order initial boundary value problem is studied in a bounded plane domain σ with C4 smooth boundary ∂σ. The existence and uniqueness of the solution is proved using Galerkin approximations and a priory estimates. The problem under consideration appear as an auxiliary problem by studying a second grade fluid motion in an infinite three-dimensional pipe with noncircular cross-section.

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