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Research Article Open access CC BY 4.0

Existence of Nonoscillatory Solutions of Higher Order Forced Neutral Dynamic Equations with Time Delay on Time Scales

Jinjun Fan, Xiaodong Lu

Journal of Advances in Mathematics and Computer Science · pp. 492–501 · Published 14 Nov 2014

10.9734/BJMCS/2015/14006

Abstract

The existence of nonoscillatory solutions of a class of higher order forced neutral dynamic equations with time delay on time scales is discussed. The main tool is the Banach fixed point theorem. Based on the different values of p(t), we give several existence theorems of nonoscillatory solutions of our discussing equations. An example is also presented to illustrate the applications of the obtained results.

Time scales time delay neutral equations dynamic equations nonoscillatory solution

References (8)

  1. 1 Dynamic Equations on Time Scales: An Introduction with Applications
  2. 2 Advances in Dynamic Equations on Time Scales [DOI]
  3. 3 Integration on time scales [DOI]
  4. 4 Oscillation of nonlinear dynamic equations on time scales [DOI]
  5. 5 Existence of nonoscillatory solutions to neutral dynamic equations on time scales [DOI]
  6. 6 Existence of positive solutions for neutral differential equations [DOI]
  7. 7 Nonoscillatory solutions of neutral differential equations [DOI]
  8. 8 Oscillation Theory for Functional Differential Equations [DOI]

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