• CLASSIFICATIONS OF SOLUTIONS OF SECOND ORDER  NONLINEAR NEUTRAL DELAY DYNAMIC EQUATIONS OF MIXED TYPE

N. SIKENDER*; P. RAMI REDDY; M. VENKATA KRISHNA; M. CHENNA KRISHNA REDDY

• CLASSIFICATIONS OF SOLUTIONS OF SECOND ORDER NONLINEAR NEUTRAL DELAY DYNAMIC EQUATIONS OF MIXED TYPE

N. SIKENDER*, P. RAMI REDDY, M. VENKATA KRISHNA, M. CHENNA KRISHNA REDDY

Abstract

In this paper, the authors classified all solutions of the second-order nonlinear neutral delay dynamic equations of mixed type into four classes and obtained conditions for the existence / non-existence of solutions in these classes. Examples are included to illustrate the validiation of the main results.

Keywords

second-order, neutral dynamic equations, oscillatory solution, mixed type, weakly oscillatory solution, asymptotic behavior, time scales.

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