Boundedness criteria for a class of second order nonlinear differential equations with delay
| Autor: | Daniel O. Adams, Mathew O. Omeike, Idowu A. Osinuga, Biodun S. Badmus |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Mathematica Bohemica, Vol 148, Iss 3, Pp 303-327 (2023) |
| Druh dokumentu: | article |
| ISSN: | 0862-7959 2464-7136 |
| DOI: | 10.21136/MB.2022.0166-21 |
| Popis: | We consider certain class of second order nonlinear nonautonomous delay differential equations of the form a(t)x^{\prime\prime} + b(t)g(x,x^\prime) + c(t)h(x(t-r))m(x^\prime) = p(t,x,x^\prime) and (a(t)x^\prime)^\prime+ b(t)g(x,x^\prime) + c(t)h(x(t-r))m(x^\prime) = p(t,x,x^\prime), where $a$, $b$, $c$, $g$, $h$, $m$ and $p$ are real valued functions which depend at most on the arguments displayed explicitly and $r$ is a positive constant. Different forms of the integral inequality method were used to investigate the boundedness of all solutions and their derivatives. Here, we do not require construction of the Lyapunov-Krasovskiǐ functional to establish our results. This work extends and improve on some results in the literature. |
| Databáze: | Directory of Open Access Journals |
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