Abstract
This paper defines a concept of a semi--set-contraction operator, and establishes a degree theory for it. As its application, we discuss the existence for the solution of two-point boundary value problems for nonlinear second order integro-differential equations in Banach spaces.
Acknowledgement
The author thanks the referee for his suggestions and helps.
Citation
Yan Baoqiang. "THE DEGREE THEORY OF A NEW CLASS OF OPERATORS AND ITS APPLICATION." SUT J. Math. 34 (1) 75 - 90, January 1998. https://doi.org/10.55937/sut/991983770
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