Invexity with Respect to a Differential Equation

机译：关于微分方程的凸性

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The concepts of invexity of a set, invexity of a function and monotonicity of an operator with respect to a second-order ordinary differential equation are introduced in this paper. Several well known properties of usual invexity are derived in this context, in particular, a characterization of invexity of function and monotonicity of an operator. A sufficient optimality condition for an optimization problem is obtained as an application.

机译：引入了集合的凸性，函数的凸性和算子相对于二阶常微分方程的单调性的概念。在这种情况下，可以得出通常具有凸度的几种众所周知的特性，特别是函数的凸度和算符的单调性的表征。作为应用，获得了针对优化问题的充分的最优条件。

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来源
《The 8th international conference on optimization: Techniques and Applications》|2010年|61|共1页
会议地点 Shanghai(CN)
作者
Vinay Singh;
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作者单位

Department of Mathematics, Faculty of Science,Banaras Hindu University, Varanasi, India;

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会议组织
原文格式 PDF
正文语种 eng
中图分类系统优化;
关键词
Invex function; Monotonicity; Sufficient optimality condition; Second order ordinary differential equation;

机译：凸函数单调性最优性充分条件二阶常微分方程;

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专利

1. On an equation being a fractional differential equation with respect to time and a pseudo-differential equation with respect to space related to Lévy-type processes [J] . Ke Hu, Niels Jacob, Chenggui Yuan Fractional Calculus and Applied Analysis . 2012,第1期

机译：关于一个方程，它是关于时间的分数阶微分方程和关于Lévy型过程的关于空间的伪微分方程
2. ELLIPTIC DIFFERENTIAL EQUATIONS WITH COEFFICIENTS MEASURABLE WITH RESPECT TO ONE VARIABLE AND VMO WITH RESPECT TO THE OTHERS [J] . DOYOON KIM, N. V. KRYLOV SIAM Journal on Mathematical Analysis . 2008,第2期

机译：关于一个变量可测量的椭圆型微分方程，对于其他变量可测量的椭圆型微分方程
3. Elliptic differential equations with coefficients measurable with respect to one variable and vmo with respect to the others [J] . Kim D, Krylov NV SIAM Journal on Mathematical Analysis . 2007,第2期

机译：椭圆微分方程的系数相对于一个变量可测量，而vmo可相对于另一个变量
4. Invexity with Respect to a Differential Equation [C] . Vinay Singh International conference on optimization: Techniques and Applications . 2010

机译：关于微分方程的蜗缩
5. Numerical solution of stochastic differential equations with respect to Brownian motion or alpha stable Levy motion. [D] . Ge, Guangtao. 2009

机译：关于布朗运动或阿尔法稳定列维运动的随机微分方程的数值解。
6. Differential Equations in Fréchet Differentials Occurring in Integral Equations [O] . Aristotle D. Michal 1945

机译：积分方程中出现的Fréchet微分方程
7. On an equation being a fractional differential equation with respect to time and a pseudo-differential equation with respect to space related to Lévy-type processes [O] . Yuan, Chenggui 2012

机译：关于方程是关于时间的分数微分方程和关于与Lévy型过程相关的空间的伪微分方程
8. Exact Solution of the Nonlinear Differential Equation R(2nd derivative R with respect to t) Plus (3/2)(dR/dt) squared-A(R sup 4) Plus B Equals 0 [R] . Childs, D. R. 1972

机译：非线性微分方程R的精确解（相对于t的二阶导数R）加（3/2）（dR / dt）平方-a（R sup 4）加B等于0

Invexity with Respect to a Differential Equation

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