The distribution of generalized zeros of oscillatory solutions for second-order nonlinear neutral delay difference equations

In this paper, the distributions of generalized zeros of oscillatory solutions for second-order nonlinear neutral delay difference equations are studied. By means of inequality techniques, specific function sequences and non-increasing solutions for corresponding first-order difference inequality, s...

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Veröffentlicht in:	Advances in difference equations 2019-07, Vol.2019 (1), p.1-15, Article 282
Hauptverfasser:	Feng, Limei, Han, Zhenlai
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Delay Difference and Functional Equations Difference equations Distribution of zeros Functional Analysis Mathematical analysis Mathematics Mathematics and Statistics Neutral difference equation Nonlinear equations Ordinary Differential Equations Oscillation Partial Differential Equations Sequences
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Zusammenfassung:	In this paper, the distributions of generalized zeros of oscillatory solutions for second-order nonlinear neutral delay difference equations are studied. By means of inequality techniques, specific function sequences and non-increasing solutions for corresponding first-order difference inequality, some new estimates for the distribution of the zeros of oscillatory solutions are presented, which extend and improve some well-known results.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-019-2220-3