Noncanonical Neutral DDEs of Second-Order: New Sufficient Conditions for Oscillation

Awatif A. Hindi, Osama Moaaz, Clemente Cesarano, Wedad R. Alharbi and Mohamed A. Abdou
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Awatif A. Hindi: Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11564, Saudi Arabia
Osama Moaaz: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Clemente Cesarano: Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
Wedad R. Alharbi: Physics Department, Faculty of Science, University of Jeddah, Jeddah 23218, Saudi Arabia
Mohamed A. Abdou: Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia

Mathematics, 2021, vol. 9, issue 17, 1-12

Abstract: In this paper, new oscillation conditions for the 2nd-order noncanonical neutral differential equation ( a 0 t ( ( u t + a 1 t u g 0 t ) ? ) ? ) ? + a 2 t u ? g 1 t = 0 , where t ? t 0 , are established. Using Riccati substitution and comparison with an equation of the first-order, we obtain criteria that ensure the oscillation of the studied equation. Furthermore, we complement and improve the previous results in the literature.

Keywords: delay differential equation; neutral; oscillation; noncanonical case (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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