ion with constant coefficients linear ordinary differential equa- 常系数线性常微分方程【枷。ro司画叮由肠,即位叭侧,.-d佣初山伪份加吐仪喇击d曰血;皿“e如oe皿巾加Pe皿”ua-朋oeyP姗ell“e c noc”皿Hn“MH劝3如加”HellT别”“} 形如 x(”)+a:x(”一’)+…+a。x=f(r)(1)的常微分方...
Average of Ordinary Differential Equations of the Second Order with Variable Factors Linear ordinary differential equations of the second order of a general view are considered with In variable factors (input equations) reduced to the self-... VI Gorbachev - 《Lobachevskii Journal of Mathematics》...
分享回复赞 山阳社区吧 alpha🐴 【电子书分享】常微分方程:定性理论-Ordinary DiThis textbook provides a comprehensive introduction to the qualitative theory of ordinary differential equations. ...In particular, it provides brief introductions to bifurcation theory, center manifolds, normal forms and ......
ORDINARY DIFFERENTIAL-EQUATIONSGENERALIZED CONTRACTIONSNONLINEARCONTRACTIONSINTEGRAL-EQUATIONSEXISTENCESETSMAPSIn this paper, we introduce a new contractive condition for a pair of commuting mappings in partially ordered G-metric spaces. Some new coupled coincidence point and coupled common fixed point theorems ...
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A set of ordinary differential equations used to represent population dynamics based on experimentally inferred species interaction parameters. Fundamental niche The entire set of environmental conditions in which an organism can survive and reproduce (that is, an organism’s niche in the absence of int...
Ordinary differential equationsdynamical systemsautomatic integrationPoincaré sectionsWe discuss how rootfinding, which is built into some ODE software, can be used to generate Poincaré sections. An interactive program is also described.doi:10.1016/0377-0427(89)90334-8D.K. Kahaner...
R.: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order 22 (2005), 223–239. http://dx.doi.org/10.1007/s11083-005-9018-510.1007/s11083-005-9018-5Search in Google Scholar [19] PACURAR, M.: Sequences of almost contractions and ...
We consider a non-autonomous ordinary differential equation on a smooth manifold, with right-hand side that randomly switches between the elements of a finite family of smooth vector fields. For the resulting random dynamical system, we show that Hormander type hypoellipticity conditions are sufficient...
This package implements structural transformations suitable of optimizing systems of (non-linear, ordinary differential, differential algebraic) equations for faster and more stable integration using a numerical solver. It is intended to serve as a common algorithmic core to a variety of downstream modeli...