Solvability of Multipoint-Integral Boundary Value Problem for a Third-Order Differential Equation and Parametrization Method

2017 ◽  
pp. 113-122 ◽  
Author(s):  
Anar T. Assanova ◽  
Askarbek E. Imanchiev
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Third Order ◽  
Integral Boundary ◽  
Integral Boundary Value Problem ◽  
Parametrization Method ◽  
Third Order Differential Equation

scholarly journals A note on solvability of three-point bound-ary value problems for third-order differential equations with p-Laplacian

2008 ◽  
Vol 39 (1) ◽  
pp. 95-103
Author(s):  
XingYuan Liu ◽  
Yuji Liu
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Boundary Value Problems ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Point Boundary ◽  
Third Order ◽  
Third Order Differential Equation

Third-point boundary value problems for third-order differential equation$ \begin{cases} & [q(t)\phi(x''(t))]'+kx'(t)+g(t,x(t),x'(t))=p(t),\;\;t\in (0,1),\\ &x'(0)=x'(1)=x(\eta)=0. \end{cases} $is considered. Sufficient conditions for the existence of at least one solution of above problem are established. Some known results are improved.

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