Akademik Veri Yönetim Sistemi
ICPAM-VAN 2022, Van, Türkiye, 22 - 23 Haziran 2022, ss.91
This
paper considers a certain class of nonlinear vector differential equations of
second-order. Qualitative properties of
solutions of the considered equations called stability, asymptotic stability,
uniform stability, boundedness and uniformly boundedness of solutions are
investigated. Eight new theorems related
to the mentioned qualitative concepts are proved by using the second method of
Lyapunov. Examples are given to show applicability of the results. By this
paper, we generalize and improve some results
that are available in the literature.