Asymptotic dichotomy in a class of fourth-order nonlinear delay differential equations with damping. (English) Zbl 1173.34350

Summary: All solutions of a fourth-order nonlinear delay differential equation are shown to converge to zero or to oscillate. Novel Riccati type techniques involving third-order linear differential equations are employed. Implications in the deflection of elastic horizontal beams are also indicated.


34K25 Asymptotic theory of functional-differential equations
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