Nonoscillatory Solutions to Higher-Order Nonlinear Neutral Dynamic Equations

Abstract

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

• nonoscillatory behavior
• existence
• nonlinear neutral dynamic equation
• higher-order
• time scale