New Conditions for the Oscillation of Second-Order Differential Equations with Sublinear Neutral Terms

Shyam Sundar Santra, Omar Bazighifan and Mihai Postolache
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Shyam Sundar Santra: Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India
Omar Bazighifan: Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
Mihai Postolache: Center for General Education, China Medical University, Taichung 40402, Taiwan

Mathematics, 2021, vol. 9, issue 11, 1-9

Abstract: In continuous applications in electrodynamics, neural networks, quantum mechanics, electromagnetism, and the field of time symmetric, fluid dynamics, neutral differential equations appear when modeling many problems and phenomena. Therefore, it is interesting to study the qualitative behavior of solutions of such equations. In this study, we obtained some new sufficient conditions for oscillations to the solutions of a second-order delay differential equations with sub-linear neutral terms. The results obtained improve and complement the relevant results in the literature. Finally, we show an example to validate the main results, and an open problem is included.

Keywords: neutral; oscillation; non-oscillation; non-linear; Lebesgue’s dominated convergence theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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