Existence of non-oscillatory solutions for a higher-order nonlinear neutral difference equation.
Guo, Zhenyu, Liu, Min (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Guo, Zhenyu, Liu, Min (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bainov, D.D., Dimitrova, M.B. (1999)
Georgian Mathematical Journal
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Candan, Tuncay, Dahiya, Rajbir S. (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Saker, Samir H. (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Wang, Peiguang, Wu, Yonghong (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Öcalan, Özkan, Akin, Ömer (2007)
Novi Sad Journal of Mathematics
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Sui Cheng, Guang Zhang (2000)
Annales Polonici Mathematici
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This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.
Došlý, Ondřej, Fišnarova, Simoná (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Yoshida, Norio
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Li, Yongkun, Chen, Qian (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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