PERTURBED NONLINEAR EVOLUTION INCLUSIONS IN BANACH SPACES

数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (2): 189-195.

PERTURBED NONLINEAR EVOLUTION INCLUSIONS IN BANACH SPACES

薛星美¹, 宋国柱²

1. Dept. of Math. and Mech., Southeast Univ, Nanjing 210018, China;
2. Department of Mathematics, Nanjing University, Nanjing 210008, China

收稿日期:1993-02-28 修回日期:1993-10-18 出版日期:1995-06-25 发布日期:1995-06-25
基金资助:
Research supported by the National Foundation of Neutral Science of China.

PERTURBED NONLINEAR EVOLUTION INCLUSIONS IN BANACH SPACES

Xue Xingmei¹, Song Gouzhu²

1. Dept. of Math. and Mech., Southeast Univ, Nanjing 210018, China;
2. Department of Mathematics, Nanjing University, Nanjing 210008, China

Received:1993-02-28 Revised:1993-10-18 Online:1995-06-25 Published:1995-06-25
Supported by:
Research supported by the National Foundation of Neutral Science of China.

摘要/Abstract

摘要： In this paper we discuss the existence results of the integral solutions to nonlinear evolution inclusion:u'(t)∈Au(t)+F(t,u(t)), where A is m-dissipative and F is a set valued map in separable Banach spaces, and extend the relative results in references.

关键词: nonlinear evolution inclusion, m-dissipative operator.equicontinuous semigroup, integral solution, Hausdorff measure, Kamke function

Abstract: In this paper we discuss the existence results of the integral solutions to nonlinear evolution inclusion:u'(t)∈Au(t)+F(t,u(t)), where A is m-dissipative and F is a set valued map in separable Banach spaces, and extend the relative results in references.

Key words: nonlinear evolution inclusion, m-dissipative operator.equicontinuous semigroup, integral solution, Hausdorff measure, Kamke function

薛星美, 宋国柱. PERTURBED NONLINEAR EVOLUTION INCLUSIONS IN BANACH SPACES[J]. 数学物理学报(英文版), 1995, 15(2): 189-195.

Xue Xingmei, Song Gouzhu. PERTURBED NONLINEAR EVOLUTION INCLUSIONS IN BANACH SPACES[J]. Acta mathematica scientia,Series B, 1995, 15(2): 189-195.

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PERTURBED NONLINEAR EVOLUTION INCLUSIONS IN BANACH SPACES

PERTURBED NONLINEAR EVOLUTION INCLUSIONS IN BANACH SPACES

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