Geodesic
Existence of nonoscillatory solutions to third-order neutral functional dynamic equations on time scales
Qiu, Yang-Cong 1 ; Wang, Haixia 2 ; Jiang, Cuimei 3 ; Li, Tongxing 4
1 School of Humanities and Social Science, Shunde Polytechnic, Foshan, Guangdong 528333, P. R. China
2 School of Economics, Ocean University of China, Qingdao, Shandong 266100, P. R. China
3 cSchool of Science, Qilu University of Technology, Jinan, Shandong 250353, P. R. China;College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, P. R. China
4 School of Information Science and Engineering, Linyi University, Linyi, Shandong 276005, P. R. China;School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, P. R. China
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 2, p. 274-287.

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

By employing Krasnoselskii's fixed point theorem, we establish the existence of nonoscillatory solutions to a class of third-order neutral functional dynamic equations on time scales. In addition, the significance of the results is illustrated by three examples.
DOI : 10.22436/jnsa.011.02.09
Classification : 34K11, 34N05, 39A10, 39A13
Keywords: Nonoscillatory solution, neutral dynamic equation, third-order, time scale

Qiu, Yang-Cong  1 ; Wang, Haixia  2 ; Jiang, Cuimei  3 ; Li, Tongxing  4

1 School of Humanities and Social Science, Shunde Polytechnic, Foshan, Guangdong 528333, P. R. China
2 School of Economics, Ocean University of China, Qingdao, Shandong 266100, P. R. China
3 cSchool of Science, Qilu University of Technology, Jinan, Shandong 250353, P. R. China;College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, P. R. China
4 School of Information Science and Engineering, Linyi University, Linyi, Shandong 276005, P. R. China;School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, P. R. China 
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     title = {Existence of nonoscillatory solutions to third-order neutral functional dynamic equations on time scales},
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Qiu, Yang-Cong ; Wang, Haixia ; Jiang, Cuimei ; Li, Tongxing . Existence of nonoscillatory solutions to third-order neutral functional dynamic equations on time scales. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 2, p. 274-287. doi : 10.22436/jnsa.011.02.09. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.02.09/

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