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The Generalized Solutions of One Order Periodic Boundary Value Problems in Banach Space

The Generalized Solutions of One Order Periodic Boundary Value Problems in Banach Space
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摘要 In this paper, the authors study the periodic boundary value problems of a class of nonlinear integro-differential equations of mixed type in Banach space with Caratheodory's conditions. We arrive at the conclusion of the existence of generalized solutions between general- ized upper and lower solutions, and develop the monotone iterative technique to find generalized extremal solutions as limits of monotone solution sequences in Banach space. In this paper, the authors study the periodic boundary value problems of a class of nonlinear integro-differential equations of mixed type in Banach space with Caratheodory's conditions. We arrive at the conclusion of the existence of generalized solutions between general- ized upper and lower solutions, and develop the monotone iterative technique to find generalized extremal solutions as limits of monotone solution sequences in Banach space.
机构地区 School of Mathematics
出处 《Journal of Mathematical Research and Exposition》 CSCD 2010年第2期345-355,共11页 数学研究与评论(英文版)
关键词 monotone iterative partial ordering generalized solutions normal cone. monotone iterative partial ordering generalized solutions normal cone.
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