NDLI: Solutions for a system of nonlinear random integral and differential equations under weak topology

Content Provider	Springer Nature Link
Author	Xieping, Ding Fan, Wang
Copyright Year	1980
Abstract	In this paper, a Darbao type random fixed point theorem for a system of weak continuous random operators with random domain is first proved. Then, by using the theorem, some existence criteria of random solutions for a systems of nonlinear random Volterra integral equations relative to the weak topology in Banach spaces are given. As applications, some existence theorems of weak random solutions for the random Cauchy problem of a system of nonlinear random differential equations are obtained, as well as the existence of extremal random solutions and random comparison results for these systems of random equations relative to weak topology in Ranach spaces. The corresponding results of Szep, Mitchell-Smith, Cramer-Lakshmikantham, Lakshmikantham-Leela and Ding are improved and generalized by these theorems.
Starting Page	721
Ending Page	737
Page Count	17
File Format	PDF
ISSN	02534827
Journal	Applied Mathematics and Mechanics
Volume Number	18
Issue Number	8
e-ISSN	15732754
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	1980-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	system of nonlinear random Volterra integral equations random Cauchy problem extremal random solution comparison result weak topology in Banach space Applications of Mathematics Mathematical Modeling and Industrial Mathematics Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mechanics of Materials Mechanical Engineering

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