Inequalities and solution of an operator equation

Chuanxi Zhu; Zongben Xu

doi:10.1016/j.aml.2007.07.013

Inequalities and solution of an operator equation

Chuanxi Zhu
, Zongben Xu

数学与统计学院

Nanchang University

科研成果: 期刊稿件 › 文章 › 同行评审

20 引用（Scopus）

摘要

In this work, we prove several important inequalities, and investigate the solution of an operator equation by means of the fixed point index in the theory of topological degree. For operator equations with different boundary conditions, the same conclusion is obtained. Meanwhile, the famous Rothe's Theorem is generalized. Finally, an example is given to show the application of Theorem 3.

源语言	英语
页（从-至）	607-611
页数	5
期刊	Applied Mathematics Letters
卷	21
期	6
DOI	https://doi.org/10.1016/j.aml.2007.07.013
出版状态	已出版 - 6月 2008

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10.1016/j.aml.2007.07.013

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abstract = "In this work, we prove several important inequalities, and investigate the solution of an operator equation by means of the fixed point index in the theory of topological degree. For operator equations with different boundary conditions, the same conclusion is obtained. Meanwhile, the famous Rothe's Theorem is generalized. Finally, an example is given to show the application of Theorem 3.",

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AU - Zhu, Chuanxi

AU - Xu, Zongben

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N2 - In this work, we prove several important inequalities, and investigate the solution of an operator equation by means of the fixed point index in the theory of topological degree. For operator equations with different boundary conditions, the same conclusion is obtained. Meanwhile, the famous Rothe's Theorem is generalized. Finally, an example is given to show the application of Theorem 3.

AB - In this work, we prove several important inequalities, and investigate the solution of an operator equation by means of the fixed point index in the theory of topological degree. For operator equations with different boundary conditions, the same conclusion is obtained. Meanwhile, the famous Rothe's Theorem is generalized. Finally, an example is given to show the application of Theorem 3.

KW - Homotopy invariance property

KW - Open convex subset

KW - Operator equation

KW - Real Banach space

KW - Semi-closed 1-set-contractive operator

UR - https://www.scopus.com/pages/publications/41649105458

U2 - 10.1016/j.aml.2007.07.013

DO - 10.1016/j.aml.2007.07.013

M3 - 文章

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SN - 0893-9659

VL - 21

SP - 607

EP - 611

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 6

ER -

Inequalities and solution of an operator equation

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