scholarly journals Solutions of 2nth-Order Boundary Value Problem for Difference Equation via Variational Method

2009 ◽  
Vol 2009 ◽  
pp. 1-10 ◽  
Author(s):  
Qingrong Zou ◽  
Peixuan Weng
2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Hongsen Fan ◽  
Zhiying Deng

AbstractIn this paper, we discuss a class of Kirchhof-type elliptic boundary value problem with Sobolev–Hardy critical exponent and apply the variational method to obtain one positive solution and two nontrivial solutions to the problem under certain conditions.


2021 ◽  
Vol 1047 (1) ◽  
pp. 012195
Author(s):  
D V Sysoev ◽  
A A Sysoeva ◽  
S A Sazonova ◽  
A V Zvyagintseva ◽  
N V Mozgovoj

2012 ◽  
Vol 226-228 ◽  
pp. 2231-2234
Author(s):  
Wu Sheng Wang ◽  
Lian Juan Zhao

Motivated by Pachpatte difference inequalities and Abdeldaim integral inequalities, this paper establishes two generalized iterated difference inequalities, which consist of multiple iterated sums and contain both linear terms and nonlinear terms inside the sums. We obtain two new results which provide explicit bounds on unknown functions by difference inequality technique. The inequalities given here can be used as tools in the study of boundedness, uniqueness, stability and boundary value problem of a difference equation, which are important tools in studying of natural science, engineering technology, and the laws of social economic development.


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