Abstract
This paper is devoted to the study of the oscillatory behavior of half-linear functional differential equations with deviating argument of the form ( E ) ( r ( t ) ( y ′ ( t ) ) α ) ′ = p ( t ) y α ( τ ( t ) ) . . We introduce new technique based on monotonic properties of nonoscillatory solutions to offer new oscillatory criteria for ( E ) . We will show that presented results essentially improve existing ones even for linear differential equations.
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