Abstract
The main objective of this paper is to establish new oscillation results of solutions to a class of fourth-order advanced differential equations with delayed arguments. The key idea of our approach is to use the Riccati transformation and the theory of comparison with first and second-order delay equations. Four examples are provided to illustrate the main results.
Highlights
In the last decades, many researchers have devoted their attention to introducing more sophisticated analytical and numerical techniques to solve mathematical models arising in all fields of science, technology and engineering
Fourth-order advanced differential equations naturally appear in models concerning physical, biological and chemical phenomena, having applications in dynamical systems such as mathematics of networks and optimization, and applications in the mathematical modeling of engineering problems, such as electrical power systems, materials and energy, problems of elasticity, deformation of structures, or soil settlement, see [1]
The main aim of this paper is to establish new oscillation results of solutions to a class of fourth-order differential equations with delayed arguments and they essentially complement the results reported in [24,25,26]
Summary
Many researchers have devoted their attention to introducing more sophisticated analytical and numerical techniques to solve mathematical models arising in all fields of science, technology and engineering. The oscillation theory of fourth and second order delay equations has been studied and developed by using an integral averaging technique and the Riccati transformation, see [2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23]. The main aim of this paper is to establish new oscillation results of solutions to a class of fourth-order differential equations with delayed arguments and they essentially complement the results reported in [24,25,26].
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