Symmetry (Feb 2019)

Nonoscillatory Solutions to Higher-Order Nonlinear Neutral Dynamic Equations

  • Yang-Cong Qiu,
  • Irena Jadlovská,
  • Dhaou Lassoued,
  • Tongxing Li

DOI
https://doi.org/10.3390/sym11030302
Journal volume & issue
Vol. 11, no. 3
p. 302

Abstract

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For a class of nonlinear higher-order neutral dynamic equations on a time scale, we analyze the existence and asymptotic behavior of nonoscillatory solutions on the basis of hypotheses that allow applications to equations with different integral convergence and divergence of the reciprocal of the coefficients. Two examples are presented to demonstrate the efficiency of new results.

Keywords