二階多時滯微分方程周期解的存在性
發(fā)布時間:2018-10-12 21:14
【摘要】:利用上下解的單調迭代方法,考慮二階多時滯微分方程-u″(t)=f(t,u(t),u(t-τ_1),u(t-τ_2),…,u(t-τ_n)),t∈Rω-周期解的存在性,其中:f:R×R~(n+1)→R連續(xù),關于t以ω為周期;τ_1,τ_2,…,τ_n為正常數(shù).通過建立新的極大值原理,構造方程ω-周期解的單調迭代求解程序,證明了ω-周期解的存在性與唯一性.
[Abstract]:By using the monotone iterative method of the upper and lower solutions, we consider the second order differential equation with multiple delays-u "(t) = f (TX u (t), u (t- 蟿 1), u (t- 蟿 2), 鈥,
本文編號:2267617
[Abstract]:By using the monotone iterative method of the upper and lower solutions, we consider the second order differential equation with multiple delays-u "(t) = f (TX u (t), u (t- 蟿 1), u (t- 蟿 2), 鈥,
本文編號:2267617
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