New oscillation criteria of fourth-order neutral noncanonical differential equations

Volume 37, Issue 3, pp 319--329 https://dx.doi.org/10.22436/jmcs.037.03.05

Publication Date: October 04, 2024 Submission Date: July 24, 2024 Revision Date: August 10, 2024 Accteptance Date: August 26, 2024

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Authors

M. S. Jayalakshmi - Department of Mathematics‎, ‎College of Engineering and Technology, ‎SRM Institute of Science and Technology, ‎Kattankulathur-603 203, ‎Tamilnadu, ‎India. S. K. Thamilvanan - Department of Mathematics‎, ‎College of Engineering and Technology, ‎SRM Institute of Science and Technology, ‎Kattankulathur-603 203, ‎Tamilnadu, ‎India. L. F. Iambor - Department of Mathematics and Computer Science, ‎University of Oradea, ‎1 University Street‎, 410087, Oradea, Romania. O. Bazighifan - Department of Mathematics‎, ‎Faculty of Education, ‎Seiyun University, ‎Hadhramout, ‎Yemen. - Jadara Research Center, ‎Jadara University, ‎Irbid 21110, Jordan.

Abstract

‎The purpose of this paper is deal with the oscillatory behavior of solutions of neutral delay differential equations of fourth-order in noncanonical form‎. ‎We use a different techniques which significantly reduce the number of conditions assuring that all the solutions are oscillates‎. ‎We provided two examples to demonstrate the power and relevance of our findings‎.

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Keywords

• Noncanonical operator
• oscillation
• neutral differential equation
• fourth-order

MSC

•  34C10
•  34K11

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