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摘要:
In this paper, we study some semi-closed 1-set-contractive operators A and investigate the boundary conditions under which the topological degrees of 1-set contractive fields, deg (I-A, Ω, p) are equal to 1. Correspondingly, we can obtain some new fixed point theorems for 1-set-contractive operators which extend and improve many famous theorems such as the Leray-Schauder theorem, and operator equation, etc. Lemma 2.1 generalizes the famous theorem. The calculation of topological degrees and index are important things, which combine the existence of solution of for integration and differential equation and or approximation by iteration technique. So, we apply the effective modification of He’s variation iteration method to solve some nonlinear and linear equations are proceed to examine some a class of integral-differential equations, to illustrate the effectiveness and convenience of this method.
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篇名 Operator Equation and Application of Variation Iterative Method
来源期刊 应用数学(英文) 学科 数学
关键词 Topology Degrees and Index 1-Set-Contract Operators Modified VARIATION ITERATION Method Integral-Differential Equation
年,卷(期) yysxyw_2012,(8) 所属期刊栏目
研究方向 页码范围 857-863
页数 7页 分类号 O1
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研究主题发展历程
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Topology
Degrees
and
Index
1-Set-Contract
Operators
Modified
VARIATION
ITERATION
Method
Integral-Differential
Equation
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期刊影响力
应用数学(英文)
月刊
2152-7385
武汉市江夏区汤逊湖北路38号光谷总部空间
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1878
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