الفهرس 
Chapter 1 Preliminaries and TheoremsOnly 14 pages are availabe for public view
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Abstract
the oscillatory behavior of solutions of different classes of
differential and dynamic equations is discussed. We first start with the
second order nonlinear differential equations
( ( ) ( ( ) ( )))
′
( ) ( ( ) ( )) ( ) ( ) ( ( )) ,
Secondly, we consider the third order nonlinear differential equations of the type
( ( ) ′′( ))
′
( ( ) ( ))
and establish new sufficient conditions for oscillation of solutions.
Then we consider the more general third order nonlinear differential equation
( ( ) ( ( )) ( ))
( ( ) ( ))
Further, we consider the new trend recently appeared, namely the so called
dynamic equations on time scales which unify both differential equations and
difference equations
We are mainly concerned with the oscillatory behavior of solutions of the class of
nonlinear second-order damped dynamic equations
( ( ) ( ( )) ( ))
( ) ( ) ( ) ( ( ))
Then we discuss interval oscillation criteria of nonlinear damped second-order
dynamic equations on time scales of the type
( ( ) ( )) ( ) ( ) ( ( ) ( )) )
and the more general damped dynamic equation
( ( ) ( ( )) ( )) ( ) ( ) ( ( ) ( ))
The obtained results improve and extend some known results in the literature.
Sufficient conditions are given for the oscillatory behavior of solutions of
nonlinear dynamic and differential equations. Finally we give some examples that
justify our results.