Existence of non-oscillatory solutions for second-order mixed neutral differential equations with positive and negative terms Online publication date: Fri, 08-Sep-2017
by Hui Li; Zhenlai Han; Ying Sun
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 7, No. 3, 2017
Abstract: In this paper, we discuss the existence of non-oscillatory solutions for the second-order mixed neutral differential equations. By means of Banach contraction mapping principle and inequality techniques, some sufficient conditions for the existence and uniqueness of non-oscillatory solutions are presented, which improve and extend some known results. Several examples are given to illustrate our main results.
Online publication date: Fri, 08-Sep-2017
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