Abstract
In this work, by using the comparison method and Riccati transformation, we obtain some oscillation criteria of solutions of delay differential equations of fourth-order in canonical form. These criteria complement those results in the literature. We give two examples to illustrate the main results. Symmetry plays an essential role in determining the correct methods for solutions to differential equations.
Highlights
These criteria complement those results in the literature
Delay differential equations appear in many problems and applications especially in applications of physics, medicine, engineering, aviation and biology
The oscillatory properties of differential equations has been the subject of intensive study, especially their oscillations and asymptotic, see Agarwal et al [3] and Baculikova [5], Dzurina and Jadlovska [6], and Bohner et al [7] developed some techniques that can be used in second-order differential equations to test the qualitative and oscillatory behavior of this type of equation
Summary
These criteria complement those results in the literature. We give two examples to illustrate the main results. Contributed to the development of the theory of oscillation by obtaining some new criteria for the oscillation of solutions of differential equations of even order. Despite the great interest by many researchers to obtain qualitative and oscillatory properties of different types of equations such as fractional order differential equations, the oscillation criteria for delay differential equations have received some few studies, such equations are of usefulness and importance in some fields of science for its appearance in many applications. Many researchers have discussed the qualitative and oscillatory behavior of differential equations with neutral and damped terms, see [10,11,12,13,14,15,16,17,18,19,20,21].
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