Difference equations involving causal operators with nonlinear boundary conditions
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 3, p. 267-274.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.008.03.11
Classification : 39A10, 34A34
Keywords: Causal operators, monotone iterative technique, upper and lower solutions, extremal solutions.

Wang, Wenli 1 ; Tian, Jingfeng 2

1 Department of Information Engineering, China University of Geosciences Great Wall College, Baoding, Hebei 071000, People's Republic of China
2 College of Science and Technology, North China Electric Power University, Baoding, Hebei 071051, People's Republic of China
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Wang, Wenli; Tian, Jingfeng. Difference equations involving causal operators with nonlinear boundary conditions. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 3, p. 267-274. doi : 10.22436/jnsa.008.03.11. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.03.11/

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