Computation of normal forms of differential equations associated with non-semisimple zero eigenvalues . International Journal Bifurcation Chaos,1998,8(12):2279 - 2319Bi, Q. & Yu, P. [1998] "Computation of normal forms of differential equations associated with non-semisimple zero eigenvalues," Int....
In present note, we apply the Leibniz formula with the nabla operator in discrete fractional calculus(DFC) due to obtain the discrete fractional solutions of a class of associated Bessel equations(ABEs) and a class of associated Legendre equations(ALEs), respectively. Thus, we exhibit a new ...
Equivariant normal forms for neutral functional differential equations Normal formNeutral functional differential equationBifurcationThis paper addresses the computation of equivariant normal forms for some Neutral Functional Differential Equations (NFDEs) near equilibria in the presence of symmetry. The analysis...
Differential equations satisfied by modular forms 讲座 活动时间:2021.01.06 07:00 - 2021.01.06 08:00 活动地址:online 报名收藏清单 主办方 上海交通大学数学科学学院 讲座介绍 A classical result known since the nineteenth century asserts that if F(z) is a modular form of weight k and t(z) is ...
声明:尝试-探究-欧拉-前辈-思想。It seems extremely remarkable that, although the roots of cubic and biquadratic equations were found by means of the very first elements of analysis, still in these t…
I have to take the curved space - time homogenous and inhomogeneous maxwell equations, ▽aFab=−4πjb and ▽[aFbc]=0, and show they can be put in terms of differential forms as dF=0 and d∗F=4π∗j (here ∗ is the hodge dual defined for any p - form α as (∗α)b1...
熵和偏微分方程 - Entropy and Partial Differential Equations 热度: European Embedded Control Institute Graduate School on Control—Spring 2010 The Behavioral Approach to Modeling and Control Lecture VII –p. 1/??◮ Bilinear and quadratic functionals of system variables arise in many applications. ...
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Differential forms and exterior calculus are important theories in mathematics. Exterior calculus have found wide applications in fields such as general relativity, theory of electromagnetic fields, thermodynamics, theory of elasticity, differential geometry, topology and nonlinear differential equations. ...
We study calculus of variations for the non-autonomous models with general “nonstandard” growth and differential forms. To our knowledge no regularity results are known for such classes. The focus of the present paper is on the conditions separating the case with the energy gap from the regula...