Asymptotic behavior of solutions of A 2nth order nonlinear differential equation

Abstract

. . , n − 1, and ξ ∈ (α, ∞), must be unbounded, provided f (t, z)z 0, in E × Ê and for every bounded subset I,Every bounded solution for (−1) n u (2n) + f (t, u) = 0, in Ê, must be constant, provided f (t, z)z 0 in Ê × Ê and for every bounded subset I, f (t, z) is bounded in Ê × I.