Özkan Öztürk, Elvan Akın (2016)
Nonautonomous Dynamical Systems
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We study the existence and nonexistence of nonoscillatory solutions of a two-dimensional systemof first-order dynamic equations on time scales. Our approach is based on the Knaster and Schauder fixed point theorems and some certain integral conditions. Examples are given to illustrate some of our main results.
Hovhannisyan, Gro (2008)
Advances in Difference Equations [electronic only]
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Akin-Bohner, Elvan, Raffoul, Youssef N. (2006)
Advances in Difference Equations [electronic only]
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Li, Yongkun, Zhang, Tianwei (2011)
Boundary Value Problems [electronic only]
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Anderson, Douglas R. (2006)
Advances in Difference Equations [electronic only]
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Luo, Hua, An, Yulian (2011)
Advances in Difference Equations [electronic only]
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Sun, Yuangong (2010)
Journal of Inequalities and Applications [electronic only]
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Anderson, Douglas R. (2006)
Advances in Difference Equations [electronic only]
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Meng Hu, Lili Wang (2017)
Open Mathematics
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In this paper, by using the theory of calculus on time scales and some mathematical methods, several nabla dynamic inequalities on time scales are established. As an application, we apply the obtained results to a logistic integrodifferential equation on time scales and sufficient conditions for the permanence of the equation are derived. Finally, numerical examples together with their simulations are presented to illustrate the feasibility and effectiveness of the results.
Liu, Jian, Sang, Yanbin (2009)
Advances in Difference Equations [electronic only]
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Zhang, Ying, Qiao, Shidong (2009)
Discrete Dynamics in Nature and Society
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