Existence and Uniqueness of Nonlinear Three-Point Boundary Value Problem for Third Order Equation

2010 ◽  
Author(s):  
Wang Guocan ◽  
Li Xiang Dong
Keyword(s):  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Order Equation ◽  
Point Boundary ◽  
Third Order

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.

scholarly journals THE BOUNDARY VALUE PROBLEM FOR THIRD ORDER EQUATION OF PARABOLIC–HYPERBOLIC TYPE

2019 ◽  
pp. 26-31
Author(s):  
Р.Х. Макаова
Keyword(s):  
Boundary Value Problem ◽  
Uniqueness Theorem ◽  
Regular Solution ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Order Equation ◽  
Hyperbolic Type ◽  
Existence And Uniqueness Theorem ◽  
Third Order

В работе исследуется краевая задача для уравнения парабологиперболического типа третьего порядка. Доказана теорема существования и единственности регулярного решения. Решение исследуемой задачи найдено в явном виде In this paper we study the boundary value problem for third order equation of parabolichyperbolic type. The existence and uniqueness theorem of a regular solution is proved. The solution to the problem under study was found explicitly

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