Oscillations of differential equations with several non-monotone advanced arguments

G.E. Chatzarakis; OEzkan OEcalan

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Oscillations of differential equations with several non-monotone advanced arguments

机译：具有几个非单调高级自变量的微分方程的振动性

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摘要

Consider the first-order advanced differential equation of the form x′(t)-m∑i=1 q_i(t)x(σ_i(t))=0, t≥t_0, where q_i, 1 ≤ i ≤ m are functions of non-negative real numbers, and σ_i, 1 ≤ i ≤ m are functions of positive real numbers such that σ_i(t) ＞ t for t ≥ t_0. New oscillation criteria, involving lim sup and lim inf, are established, in the case of non-monotone advanced arguments. An example illustrating the results is also given.

机译：考虑形式为x'（t）-m∑i = 1 q_i（t）x（σ_i（t））= 0，t≥t_0的一阶高级微分方程，其中q_i，1≤i≤m是函数σ_i，1≤i≤m是非负实数的正整数，是t≥t_0时σ_i（t）＞ t的函数。在非单调高级自变量的情况下，建立了涉及lim sup和lim inf的新振动准则。还给出了说明结果的示例。

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来源
《Dynamical Systems》 |2015年第3期|310-323|共14页
作者
G.E. Chatzarakis; OEzkan OEcalan;
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作者单位

Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 14121, N. Heraklio, Athens, Greece;

Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, ANS Campus, 03200, Afyon, Turkey;

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原文格式 PDF
正文语种 eng
中图分类
关键词
differential equation; non-monotone argument; advanced argument; oscillatory solutions; non-oscillatory solutions;

机译：微分方程非单调参数;高级论点振荡解;非振荡解决方案;

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2. OSCILLATION CRITERIA FOR DIFFERENTIAL EQUATIONS WITH SEVERAL NON-MONOTONE DEVIATING ARGUMENTS [J] . G. M. MOREMEDI, H. JAFARI, I. P. STAVROULAKIS Journal of computational analysis and applications . 2020,第1期

机译：几种非单调偏离参数的微分方程的振动标准
3. An oscillation criterion for delay differential equations with several non-monotone arguments [J] . Akca H., Chatzarakis G. E., Stavroulakis I. P. Applied mathematics letters . 2016,第Null期

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4. Oscillations of First Order Impulsive Differential Equations with Variable Coefficients and Advanced Argument [C] . M. K. Grammatikopoulos, M. B. Dimitrova, V. I. Donev International Conference on Applications of Mathematics in Engineering and Economics . 2007

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7. Oscillations of differential equations with non-monotone deviating arguments [O] . George E. Chatzarakis, Irena Jadlovská, Tongxing Li 2019

机译：非单调偏离参数的微分方程的振动

Oscillations of differential equations with several non-monotone advanced arguments

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