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Positive increasing solutions on the half-line to second order nonlinear delay differential equations. (English) Zbl 1127.34039

The paper deals with the existence of positive increasing solutions of second-order delayed nonlinear differential equations with prescribed asymptotic behavior. The main assumptions in the given theorems are negativity and monotonicity of the right-hand side of the equation. Corollaries for the second-order Emden-Fowler type equation are derived, as well.

MSC:

34K10 Boundary value problems for functional-differential equations
34K25 Asymptotic theory of functional-differential equations
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