International Journal of Applied Science and Technology

ISSN 2221-0997 (Print), 2221-1004 (Online) 10.30845/ijast

Nonoscillation and Oscillation for a Class of Neutral Dynamic Equations with Positive and Negative Coefficients on Time Scales
G. H. Liu

 

Abstract
In this paper, we study the existence of oscillatory and nonoscillatory solutions of neutral dynamic equations
( ( )  (  ))  ( ( ) (  )  ( ) (  ))  0  x t cx t r P t x t  Q t x t 
where c  0, r  0,   0 are constants, , ( , )  P QC T R rd .We obtain some sufficient and necessary
conditions for the existence of bounded and unbounded positive solutions, as well as some sufficient conditions
for the existence of bounded and unbounded oscillatory solutions.

 

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