On the Degree Theory for Multivalued(<em>S</em><sub>+</sub>) Type Mappings

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(12): 1055-1062

Liu Zhenhai, Zhang Shisheng. On the Degree Theory for Multivalued(S+) Type Mappings[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1055-1062.

Citation:

Liu Zhenhai, Zhang Shisheng. On the Degree Theory for Multivalued(S₊) Type Mappings[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1055-1062.

Liu Zhenhai, Zhang Shisheng. On the Degree Theory for Multivalued(S+) Type Mappings[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1055-1062.

Citation:

Liu Zhenhai, Zhang Shisheng. On the Degree Theory for Multivalued(S₊) Type Mappings[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1055-1062.

On the Degree Theory for Multivalued(S₊) Type Mappings

1.
Department of Mathematics, Changsha University of Electric Power, Changsha 410077, P. R. China;
2.
Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China

Abstract

This paper is to generalize the results of Zhang and Chen[1].We constract a topological degree for a class of mappings of the form F=L+S where L is closed densety defined maximal monotone operator and S is a nonlinear multivalued map of class(S₊) with respect to the domain of L.
- topological degree

[1]	张石生、陈玉清,多值(S)型映象度理论以及不动点定理,应用数学和力学,11,5(1990),441-454.
[2]	F.E.Browder,Degree theory for nonlinear mappings,Proc.Sympos.Pure.Muth.,45,1(1986),203-226.
[3]	J.Berkovits and V.Mustonen,Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems,Re.Mat.,7,12(1992),597-621.
[4]	张恭庆,《临界点理论及其应用》,上海科学技术出版社(1986).
[5]	E.Zeidler,Nonlinear Functional Analysis and Its Applications,Ⅱ A and Ⅱ B,Springer,New York(1990).