Stability and Boundedness of Solutions to Certain Fourth-order Differential Equations
نویسنده
چکیده
We give criteria for the asymptotic stability and boundedness of solutions to the nonlinear fourth-order ordinary differential equation x + φ(ẍ) ... x + f(x, ẋ)ẍ + g(ẋ) + h(x) = p(t, x, ẋ, ẍ, ... x ) , when p ≡ 0 and when p 6= 0. Our results include and improve some well-known results in the literature.
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