可约标量二阶泛函微分方程的周期扰动

IF 1.1 4区数学 Q1 MATHEMATICS Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2023-01-01 DOI:10.14232/ejqtde.2023.1.18

A. Calamai, M. Pera, M. Spadini

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引用次数: 1

摘要

利用拓扑方法研究了一类可约二阶泛函时滞微分方程在周期力作用下的强迫振动集的结构。更准确地说，我们考虑了一个涉及伽马概率分布的延迟型泛函依赖，并使用线性链技巧，我们建立了一个一阶ode系统，其t周期解对应于泛函方程的解。

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Periodic perturbations of reducible scalar second order functional differential equations

Using a topological approach we investigate the structure of the set of forced oscillations of a class of reducible second order functional retarded differential equations subject to periodic forcing. More precisely, we consider a delay-type functional dependence involving a gamma probability distribution and, using a linear chain trick, we formulate a first order system of ODEs whose T -periodic solutions correspond to those of the functional equation.

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来源期刊

Electronic Journal of Qualitative Theory of Differential Equations 数学-数学

CiteScore

1.40

自引率

9.10%

发文量

审稿时长

3 months

期刊介绍： The Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE) is a completely open access journal dedicated to bringing you high quality papers on the qualitative theory of differential equations. Papers appearing in EJQTDE are available in PDF format that can be previewed, or downloaded to your computer. The EJQTDE is covered by the Mathematical Reviews, Zentralblatt and Scopus. It is also selected for coverage in Thomson Reuters products and custom information services, which means that its content is indexed in Science Citation Index, Current Contents and Journal Citation Reports. Our journal has an impact factor of 1.827, and the International Standard Serial Number HU ISSN 1417-3875. All topics related to the qualitative theory (stability, periodicity, boundedness, etc.) of differential equations (ODE''s, PDE''s, integral equations, functional differential equations, etc.) and their applications will be considered for publication. Research articles are refereed under the same standards as those used by any journal covered by the Mathematical Reviews or the Zentralblatt (blind peer review). Long papers and proceedings of conferences are accepted as monographs at the discretion of the editors.