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Forced oscillations in functional differential equations with deviating arguments
... = D° j^) > 0 for r ^ r^-. Thus we again obtain a contradiction to the oscillation of all nontrivial solutions of (11), because the function w(r) = z(r) + a x p 0 (r) is an eventually positive solution of (11). ...
Sufficient conditions are derived for the oscillation of solutions of the equation Δ m u+c(x,u)=f(x), x∈E r 0 , where Δ m denotes the m-th iteration of the Laplace operator Δ=∂ 2 /∂x 1 2 +···+∂ 2 /∂x n 2 and E r 0 is an exterior domain in an n-dimensional Euclidean space ℝ n .
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