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More Effective Conditions for Testing the Oscillatory Behavior of Solutions to a Class of Fourth-Order Functional Differential Equations.
- Source :
-
Axioms (2075-1680) . Nov2023, Vol. 12 Issue 11, p1005. 13p. - Publication Year :
- 2023
-
Abstract
- This paper presents an investigation into the qualitative behavior of solutions for a specific class of fourth-order half-linear neutral differential equations. The main objective of this study is to improve the relationship between the solution and its corresponding function. By developing improved relationships, a novel criterion is proposed to determine the oscillatory behavior of the studied equation. The exclusion of positive solutions is achieved through a comparative approach in which the examined equation is compared to second-order equations. Additionally, the significance of the obtained results is demonstrated by applying them to various illustrative examples. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FUNCTIONAL differential equations
*DIFFERENTIAL equations
*COMPARATIVE method
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 12
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 173827611
- Full Text :
- https://doi.org/10.3390/axioms12111005