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

Author(s):  
Wang Guocan ◽  
Li Xiang Dong
2003 ◽  
Vol 2003 (11) ◽  
pp. 553-567 ◽  
Author(s):  
M. Denche ◽  
A. Memou

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.


Author(s):  
Р.Х. Макаова

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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