Ganesh Purushothaman, Kannan Suresh, Ercan Tunc, Ethiraju Thandapani
Abstract:
In this work first we transform the semi-noncanonical fourth order
neutral delay differential equations into canonical type. This
simplifies the investigations of finding the relationships between
the solution and its companion function which plays an important
role in the oscillation theory of neutral differential equations.
Moreover, we improve these relationships based on the monotonic
properties of positive solutions. We present new conditions for the
oscillation of all solutions of the corresponding equation which
improve the oscillation results already reported in the literature.
Examples are provided to illustrate the importance of our main
results.
Submitted September 8, 2023. Published October 16, 2023.
Math Subject Classifications: 34C10, 34K11, 34K40.
Key Words: Oscillation; neutral differential equations; semi-noncanonical; fourth-order equation.
DOI: 10.58997/ejde.2023.70
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Ganesh Purushothaman Department of Mathematics St. Joseph's College of Engineering Chennai-600119, India email: gpmanphd@gmail.com |
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Kannan Suresh Department of Mathematics St. Joseph's College of Engineering Chennai-600119, India email: dhivasuresh@gmail.com |
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Ercan Tunç Department of Mathematics Faculty of Arts and Sciences Tokat Gaziosmanpaşa University 60240, Tokat, Turkey email: ercantunc72@yahoo.com |
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Ethiraju Thandapani Ramanujan Institute for Advanced Study in Mathematics University of Madras, Chennai - 600 005, India email: ethandapani@yahoo.co.in |
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