Oscillation of half-linear differential equations with mixed type of argument

Author:

Džurina Jozef1ORCID,Baculíková Blanka1ORCID

Affiliation:

1. Technical University of Kosice

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.

Publisher

University of Szeged

Subject

Applied Mathematics

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