Positive Solution of a Class of Equations Involving Noncompact Mappings

Lan Kun-quan; Ding Xie-ping

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Lan Kun-quan, Ding Xie-ping. Positive Solution of a Class of Equations Involving Noncompact Mappings[J]. Applied Mathematics and Mechanics, 1988, 9(8): 675-684.

Citation:

Lan Kun-quan, Ding Xie-ping. Positive Solution of a Class of Equations Involving Noncompact Mappings[J]. Applied Mathematics and Mechanics, 1988, 9(8): 675-684.

Citation:

Lan Kun-quan, Ding Xie-ping. Positive Solution of a Class of Equations Involving Noncompact Mappings[J]. Applied Mathematics and Mechanics, 1988, 9(8): 675-684.

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Positive Solution of a Class of Equations Involving Noncompact Mappings

Sichuan Normal University, Chengdu

Received Date: 1987-06-12
Publish Date: 1988-08-15

Abstract

Abstract

In this paper,we define a generalized relative degree for A-proper mappings from a relative open subset of a Banach space into another Banach space and introduce the concepts of generalized P-compact and P₁-compact mappings.Next,we show several existence theorems of positive solutions for the equations involving these mappings.Our theorems improve and extend some recent results.

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References(15)

References

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