Oscillation results for second order half-linear functional dynamic equations with unbounded neutral coefficients on time scales

Abstract

This study aims to present some new sufficient conditions for the oscillatory behavior of solutions to a class of second order half-linear functional dynamic equations with mixed neutral term i.e., the neutral term contains both retarded and advanced arguments. The results obtained are applicable in the case where the studied equation has unbounded neutral coefficients and they are new even for the linear case. Illustrative examples are also provided.

Keywords

• Oscillation,second order,neutral dynamic equations,time scales

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