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Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales

Author

Listed:
  • Taixiang Sun
  • Hongjian Xi
  • Xiaofeng Peng
  • Weiyong Yu

Abstract

We study the higher-order neutral dynamic equation { a ( t ) [ ( x ( t ) − p ( t ) x ( τ ( t ) ) ) Δ m ] α } Δ + f ( t , x ( δ ( t ) ) ) = 0 for t ∈ [ t 0 , ∞ ) T and obtain some necessary and sufficient conditions for the existence of nonoscillatory bounded solutions for this equation.

Suggested Citation

  • Taixiang Sun & Hongjian Xi & Xiaofeng Peng & Weiyong Yu, 2010. "Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-16, September.
    • Handle: RePEc:hin:jnlaaa:428963
    DOI: 10.1155/2010/428963
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    Cited by:

    1. Ya-Ru Zhu & Zhong-Xuan Mao & Jing-Feng Tian & Ya-Gang Zhang & Xin-Ni Lin, 2022. "Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales," Mathematics, MDPI, vol. 10(5), pages 1-17, February.

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