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On the Qualitative Analysis of Solutions of a Class of Nonlinear Differential Equations of the Second Order with Constant Delay.
- Source :
-
Journal of Mathematical Sciences . Jul2023, Vol. 274 Issue 1, p114-125. 12p. - Publication Year :
- 2023
-
Abstract
- We consider a class of nonlinear second-order differential equations with constant delay and investigate qualitative properties of the solutions, namely, global stability of the zero solution, eventually uniform boundedness of solutions, existence of periodic solutions, and existence of a unique stationary oscillation of the considered equations. As far as the technique of the proofs is concerned, we use the Lyapunov–Krasovskii functional method and the second Lyapunov method to prove our main results. We also improve and correct some former results available from the literature. Finally, in some particular cases, we provide three examples as illustrations and applications of the obtained new results. Hence, we make some contributions to the topic of the paper. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR differential equations
*DELAY differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 274
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 169703790
- Full Text :
- https://doi.org/10.1007/s10958-023-06574-z