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Alternative Infinitesimal Generator of Invertible Evolution Families

Alternative Infinitesimal Generator of Invertible Evolution Families
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摘要 A logarithm representation of evolution operators is defined. Generators of invertible evolution families are characterized by the logarithm representation. In this article, using the logarithm representation, a concept of evolution operators without satisfying the semigroup property is introduced. In conclusion the existence of alternative infinitesimal generator is clarified. A logarithm representation of evolution operators is defined. Generators of invertible evolution families are characterized by the logarithm representation. In this article, using the logarithm representation, a concept of evolution operators without satisfying the semigroup property is introduced. In conclusion the existence of alternative infinitesimal generator is clarified.
出处 《Journal of Applied Mathematics and Physics》 2017年第4期822-830,共9页 应用数学与应用物理(英文)
关键词 Invertible EVOLUTION FAMILY ABSTRACT CAUCHY PROBLEM Invertible Evolution Family Abstract Cauchy Problem
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