Uncountably many nonoscillatory bounded solutions to second-order nonlinear neutral dynamic equations

Authors : Magdalena Nockowska ROSIAK

Pages : 1699-1711

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :This work is devoted to the study of the existence of uncountably many nonoscillatory bounded solutions to second-order nonlinear neutral dynamic equations by means of the Darbo fixed point theorem. We construct assumptions without sign conditions on the nonlinear part of the equation. Moreover, we prove the necessary condition for the existence of an asymptotically zero solution to the problem under consideration.
Keywords : Nonlinear dynamic equation, neutral type equation, nonoscillation, Darbo fixed point theorem