Abstract
The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential equations. Comparing our results with those in the literature, our criteria solve more general delay differential equations with neutral type, and our results expand the range of neutral term coefficient. Some examples are given to illustrate our conclusions.
Highlights
Up to now, many academics have made essential contributions to the delay differential equations, because such equations have various applications in natural science and social science [1,2,3,4,5]
Based on the above results of previous scholars, in this article, we are concerned with the following quasi-linear neutral delay differential equations of the form (i.e., Equation (3)
F (v) when assuming that vη ≥ q0 for all v 6= 0, where q0 > 0 is a constant and the equation of the form 0 η −1 a ( t ) χ ( n −1) ( t )
Summary
Many academics have made essential contributions to the delay differential equations, because such equations have various applications in natural science and social science [1,2,3,4,5]. When studying the London–Yorke model of measles transmission [6], some scholars considered the following delay equation. In the case where n = 2, authors [8,9,10,11,12,13,14,15,16] investigated the quasi-linear equation as follows:. B. Baculíková et al [17] discussed the following quasi-linear equation by using the comparison principles and Riccati transformation:. Based on the above results of previous scholars, in this article, we are concerned with the following quasi-linear neutral delay differential equations of the form (i.e., Equation (3). At the end of this paper, some examples are provided to exhibit our conclusions
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
