Abstract:
In this paper, we establish some new sufficient conditions for oscillation
of solutions of first order delay dynamic equations on time scales. The
results not only contains some well-known criteria for delay differential
equations and delay difference equations as special cases but also improve
some results obtained on time scales. The main results are obtained by
making use of a new algebraic inequality and the analysis of the
characteristic inequality.
Key Words: oscillation, first order delay dynamic equations, time scales.
2010 Mathematics Subject Classification: Primary 26A15, Secondary 26D10, 26D15, 39A13, 34A40, 34N05.
