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Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup
by
GE ZhaoQiang FENG DeXing
in
Banach space
/ Banach spaces
/ Banach空间
/ Computer Science
/ Distributed parameter systems
/ Functional analysis
/ Information Systems and Communication Service
/ Nonlinear systems
/ Operators (mathematics)
/ Research Paper
/ Semigroups
/ Well posed problems
/ 分布参数系统
/ 奇异
/ 存在唯一性
/ 指数稳定
/ 算子半群
/ 适定问题
/ 非线性
2013
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Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup
by
GE ZhaoQiang FENG DeXing
in
Banach space
/ Banach spaces
/ Banach空间
/ Computer Science
/ Distributed parameter systems
/ Functional analysis
/ Information Systems and Communication Service
/ Nonlinear systems
/ Operators (mathematics)
/ Research Paper
/ Semigroups
/ Well posed problems
/ 分布参数系统
/ 奇异
/ 存在唯一性
/ 指数稳定
/ 算子半群
/ 适定问题
/ 非线性
2013
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Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup
by
GE ZhaoQiang FENG DeXing
in
Banach space
/ Banach spaces
/ Banach空间
/ Computer Science
/ Distributed parameter systems
/ Functional analysis
/ Information Systems and Communication Service
/ Nonlinear systems
/ Operators (mathematics)
/ Research Paper
/ Semigroups
/ Well posed problems
/ 分布参数系统
/ 奇异
/ 存在唯一性
/ 指数稳定
/ 算子半群
/ 适定问题
/ 非线性
2013
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Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup
Journal Article
Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup
2013
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Overview
According to the well-posed problem of nonlinear singular distributed parameter systems, first of all, the nonlinear GE-semigroup induced by a continuous (possibly nonlinear) operator is introduced in Banach space, which is a generalization of GE-semigroup (i.e., generalized operator semigroup), and the properties of nonlinear GE-semigroup are discussed; and then the existence, uniqueness and constructive expression for the strong solution of nonlinear singular distributed parameter system are discussed by nonlinear GE-semigroup; at last, the exponential stability of nonlinear singular distributed parameter system is studied by using nonlinear GE-semigroup, functional analysis and operator theory in Banach space.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V
Subject
/ Banach空间
/ Distributed parameter systems
/ Information Systems and Communication Service
/ 分布参数系统
/ 奇异
/ 存在唯一性
/ 指数稳定
/ 算子半群
/ 适定问题
/ 非线性
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