Stability and boundedness of solutions of certain Lienard-type non-autonomous differential equations
DOI:
https://doi.org/10.22199/issn.0717-6279-6155Keywords:
Stability of solutions, Boundedness of solutions, Non-autonomous, Lyapunov’s direct method, Liénard-type differential equationsAbstract
In this paper, the Liénard-type non-autonomous nonlinear differential equation
ẍ+ p(t)f(x, ẋ) ẋ + q(t)g(x) = ϕ(t, x, ẋ)
is investigated for uniform exponential asymptotic stability of solutions when ϕ(t, x, ẋ) ≡ 0, and uniform ultimate boundedness of solutions when ϕ(t, x, ẋ) ≠ 0, using the Lyapunov’s direct method
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