Oscillation Criteria for Higher Order Functional Equations

Lin Jingjie, Wu Simin and Lin Quanwen

Journal of Mathematics Research, 2019, vol. 11, issue 2, 135-141

Abstract: This paper mainly studies oscillatory of all solutions for a class higher order linear functional equations of the form x(g(t))=P(t)x(t)+∑^m_i=1 Q_i(t)x(g^(k+1)(t)) Where P, Q, g:[t_0,∞] → R^+ =[0,∞] are given real valued functions and g(t) ≠t, lim_(t→∞) g(t)=∞. Some sufficient conditions are obtained. Our results generalize or improve some results in some literature given. An example is also given to illustrate the results.

Keywords: oscillation; high order; linear; functional equations (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:11:y:2019:i:2:p:135

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