Positive Non-monotone Solutions of Second-Order Delay Differential Equations

被引:0
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作者
George E. Chatzarakis
Lana Horvat-Dmitrović
Mervan Pašić
机构
[1] School of Pedagogical and Technological Education (ASPETE),Department of Electrical and Electronic Engineering Educators
[2] University of Zagreb,Faculty of Electrical Engineering and Computing Department of Applied Mathematics
关键词
Delay differential equations; Non-monotonic behavior; Second-order; Nonlinear term; Dual equation; 34A30; 34B30; 34C10; 34C11;
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摘要
In this paper, we study the non-monotonic behavior of solutions of the second-order delay differential equations. We establish the criteria for positive solutions to be non-monotonic on a bounded interval. The results are the first to be reported on the non-monotonic behavior of solutions of functional differential equations. In the final section, two examples are given which illustrate the significance of our results.
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页码:637 / 648
页数:11
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