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Existence of Nonoscillatory Solutions of a Class of Nonlinear Dynamic Equations with a Forced Term
College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China
College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China
- 1 College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China
- 2 College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China
Open Journal of Discrete Mathematics·Volume 02 (2012)·Pages 173–178·Published 31 October 2012·DOI10.4236/ojdm.2012.24035
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Abstract
In this paper, we consider the following forced higher-order nonlinear neutral dynamic equation on time scales. By using Banach contraction principle, we obtain sufficient conditions for the existence of nonoscillatory solutions for general and which means that we allow oscillatory and . We give some examples to illustrate the obtained results.
KeywordsDynamic EquationHigher OrderNon-OscillationTime ScaleNeutral
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