Difference equations involving causal operators with nonlinear boundary conditions
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Authors
Wenli Wang
- Department of Information Engineering, China University of Geosciences Great Wall College, Baoding, Hebei 071000, People's Republic of China.
Jingfeng Tian
- College of Science and Technology, North China Electric Power University, Baoding, Hebei 071051, People's Republic of China.
Abstract
In this paper, we investigate nonlinear boundary problems for difference equations with causal operators.
Our boundary condition is given by a nonlinear function, and more general than ones given before. By
using the method of upper and lower solutions coupled with the monotone iterative technique, criteria on
the existence of extremal solutions are obtained, an example is also presented.
Share and Cite
ISRP Style
Wenli Wang, Jingfeng Tian, Difference equations involving causal operators with nonlinear boundary conditions, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 3, 267--274
AMA Style
Wang Wenli, Tian Jingfeng, Difference equations involving causal operators with nonlinear boundary conditions. J. Nonlinear Sci. Appl. (2015); 8(3):267--274
Chicago/Turabian Style
Wang, Wenli, Tian, Jingfeng. "Difference equations involving causal operators with nonlinear boundary conditions." Journal of Nonlinear Sciences and Applications, 8, no. 3 (2015): 267--274
Keywords
- Causal operators
- monotone iterative technique
- upper and lower solutions
- extremal solutions.
MSC
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