| 摘 要： | An important contribution in the development of nonlinear analysis was given by Leray and Schauder. In paper 21] they extended the Brouwer degree to compact continuous fields (i. e. compact continuous perturbations of the identity) and consequently provided a very powerful tool for the investigation of various problems of nonlinear differential equations and nonlinear integral equations. The detailed report of the Leray-Schauder degree and its applications can be found in many books, including 20, 23, 7], to mention only a few.
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