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Oscillation Criteria for Higher Order Functional Equations

Author

Listed:
  • Lin Jingjie
  • Wu Simin
  • Lin Quanwen

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.

Suggested Citation

  • Lin Jingjie & Wu Simin & Lin Quanwen, 2019. "Oscillation Criteria for Higher Order Functional Equations," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(2), pages 135-141, April.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:2:p:135
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    More about this item

    Keywords

    oscillation; high order; linear; functional equations;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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