V2EX volterra equation

Volterra Equation

定义 Definition

Volterra 方程通常指一类积分方程(也可扩展到积分微分方程),其积分上限是变量本身(常写作从 0 到 t 或从 ax),因此常用于描述带“记忆效应”的过程(如粘弹性、种群动力学、控制与信号系统)。最常见的是 Volterra 积分方程(第一类与第二类)。

发音 Pronunciation (IPA)

/vltr kwen/

例句 Examples

The model can be written as a Volterra equation.
该模型可以写成一个 Volterra 方程。

To capture time-dependent memory effects, the system is formulated as a second-kind Volterra equation with a smooth kernel.
为刻画随时间变化的记忆效应,该系统被表述为一个具有光滑核函数的第二类 Volterra 方程。

词源 Etymology

“Volterra equation”得名于意大利数学家 Vito Volterra(维托沃尔泰拉)。他在 1920 世纪之交对函数泛函与积分方程理论做出重要贡献,这类以上限随自变量变化为特征的积分方程因此以其姓氏命名。

相关词 Related Words

文学与学术作品 Literary & Academic Works

  • Theory of Functionals and of Integral and Integro-Differential Equations(Vito Volterra)
  • Integral Equations(F. G. Tricomi)
  • Integral Equations: A Practical Treatment, from Spectral Theory to Applications(David Porter & David S. G. Stirling)
  • Methods of Mathematical Physics(Richard Courant & David Hilbert)
About     Help     Advertise     Blog     API     FAQ     Solana     785 Online   Highest 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 36ms UTC 21:27 PVG 05:27 LAX 14:27 JFK 17:27
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86