Existence of nonoscillatory solutions tending to zero of third-order neutral dynamic equations on time scales

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作者
Yang-Cong Qiu
Irena Jadlovská
Kuo-Shou Chiu
Tongxing Li
机构
[1] Shunde Polytechnic,School of Humanities
[2] Technical University of Košice,Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics
[3] Universidad Metropolitana de Ciencias de la Educación,Departamento de Matemática, Facultad de Ciencias Básicas
[4] Shandong University,School of Control Science and Engineering
[5] Linyi University,LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing
关键词
Nonoscillatory solution; Neutral dynamic equation; Third-order; Time scale; 34K11; 34N05; 39A10; 39A13;
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摘要
We study the existence of nonoscillatory solutions tending to zero of a class of third-order nonlinear neutral dynamic equations on time scales by employing Krasnoselskii’s fixed point theorem. Two examples are given to illustrate the significance of the conclusions.
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