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Periodic boundary value problem for integro-differential equations of mixed type in Banach spaces
WANG Xiu-rong, SONG Guang-xing
(College of Mathematics and Computational Science in China University of Petroleum,Dongying 257061, Shandong Province, China)
Abstract:
The exsitence of soultions of periodic boundary value problem for nonlinear integro-differential equations of mixed type in Banach spaces were studied by using partial order method and the monotone iterative method when only exsitence of one upper solution or one lower solution and some other condtions. And its maximal and minimal solutions were obtained. The results presented extend and improve the recent results,
Key words:  integro-differential equation  upper and lower solution  monotone iterative technique  partial order theory  Banach space