DIFFERENTIAL-OPERATOR INCLUSIONS AND MULTIVARIATIONAL INEQUALITIES WITH PSEUDOMONOTONE MAPPINGS

P. O. Kasyanov

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DIFFERENTIAL-OPERATOR INCLUSIONS AND MULTIVARIATIONAL INEQUALITIES WITH PSEUDOMONOTONE MAPPINGS

机译：伪音映射的微分算子包含和多元不等式

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Differential-operator inclusions and multivariational inequalities in Banach spaces with quasimonotone mappings are considered. The functional-topological properties of resolving operators are investigated. The Faedo-Galerkin method for noncoercive mappings and the finite-difference and Dubinsky methods for differential-operator inclusions in Banach spaces with pseudomonotone mappings are substantiated. Important a priori estimates are obtained.

机译：考虑具有单调映射的Banach空间中的微分算子包含和多元不等式。研究了解析算子的功能拓扑性质。证实了具有伪单调映射的Banach空间中用于非强制映射的Faedo-Galerkin方法以及用于差分算子包含的有限差分和Dubinsky方法。获得重要的先验估计。

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《Cybemetics and Systems Analysis》 |2010年第2期|p.282-289|共8页
作者
P. O. Kasyanov;
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作者单位

Educational Scientific Complex 'Institute for Applied System Analysis,' National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, National Technical University of Ukraine 'Kyiv Polytechnic Institute,' Kyiv, Ukraine;

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
differential-operator inclusion; multivariational inequality; quasimonotone mapping; faedo-galerkin method; finite-difference method;

机译：差分运算符包含;多元不平等准单调映射faedo-galerkin方法;有限差分法;

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1. Multivariational inequalities and operator inclusions in the Banach spaces with mappings belonging to the class ( S )_ + [J] . Melnik V.S Украинский математический журнал . 2000,第11期

机译：Banach空间中的多元变分不等式和算子包含，其中映射属于（S）_ +
2. MULTIVALUED DYNAMICS OF SOLUTIONS OF AN AUTONOMOUS DIFFERENTIAL-OPERATOR INCLUSION WITH PSEUDOMONOTONE NONLINEARITY [J] . P. O. Kasyanov Cybernetics and Systems Analysis . 2011,第5期

机译：伪音调为非线性的自治微分算子解的多值动力学
3. On the convergence of solutions of inclusions containing maximal monotone and generalized pseudomonotone mappings [J] . Le Vy Khoi Nonlinear Analysis: An International Multidisciplinary Journal . 2016,第Null期

机译：关于包含极大单调映射和广义伪单调映射的包含解的收敛性
4. The pseudomonotone stochastic variational inequality problem: Analytical statements and stochastic extragradient schemes [C] . Kannan Aswin, Shanbhag Uday V. American Control Conference . 2014

机译：伪单调随机变分不等式问题：分析陈述和随机超梯度方案
5. Topological Degree and Variational Inequality Theories for Pseudomonotone Perturbations of Maximal Monotone Operators. [D] . Asfaw, Teffera M. 2013

机译：极大单调算子的伪单调摄动的拓扑度和变分不等式理论。
6. A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities [O] . Ali Mohamed Saddeek -1

机译：通过边界点方法对广义多值伪单调混合变分不等式进行改进的两层迭代
7. Variational-Like Inequalities for Weakly Relaxed η-α Pseudomonotone Set-Valued Mappings in Banach Space [O] . Syed Shakaib Irfan, Mohammad Firdosh Khan 2016

机译：在Banach空间中为弱弛豫η-α假单胞酮设定值映射的变分不等式

DIFFERENTIAL-OPERATOR INCLUSIONS AND MULTIVARIATIONAL INEQUALITIES WITH PSEUDOMONOTONE MAPPINGS

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