Integral boundary value problems with causal operators

Authors:
Yian Zhao;Guangxing Song;Xiaoyan Sun
Affiliations:
Department of Mathematics, China University of Petroleum, Qingdao, Shandong 266555, PR China;Department of Mathematics, China University of Petroleum, Qingdao, Shandong 266555, PR China;Department of Mathematics, China University of Petroleum, Qingdao, Shandong 266555, PR China
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

This paper considers the existence of solutions for a class of integral boundary value problems with causal operators. We build a new comparison theorem. By utilizing the monotone iterative technique and the method of lower and upper solutions, we formulate sufficient conditions under which such problems have extremal or quasisolutions in a corresponding sector.