Stability of solutions of certain third order non-autonomous ordinary differential equations

Autor: D. O. Adams, M. O. Omeike
Rok vydání: 2020
Předmět:
Zdroj: Afrika Matematika. 32:131-138
ISSN: 2190-7668
1012-9405
DOI: 10.1007/s13370-020-00815-z
Popis: Sufficient criteria were established to ensure the stability of solutions of certain third order nonlinear non-autonomous ordinary differential equations of the form $$\begin{aligned} {\mathop {x}\limits ^{...}}+(a(t,x,\dot{x},\ddot{x})+m(t,x,\dot{x},\ddot{x})) \ddot{x}+b(t)\phi (x,\dot{x})+c(t,x,\dot{x},\ddot{x})h(x)= p(t,x,\dot{x},\ddot{x}). \end{aligned}$$ By using Lyapunov’s direct method, we obtained new result on the subject being considered. An example is hereby introduced to illustrate the importance of the result obtained with graphical representation.
Databáze: OpenAIRE
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