| BOUNDARY SOLUTIONS OF OPERATOR EQUATIONS IN PARIAL ORDERING SETS WITH APPLICATIONS TO SYSTEMS OF FUNCTIONAL |
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| 作者姓名： | ZHAO Zengqin XIE Shuheng |
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| 作者单位： | Department of Mathematics，Qufu Normal University，Qufu 273165，China |
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| 摘 要： | 1.IntroductionThepaPersl-5]studythecoupledfixedp0intsofmixedmonotoneoperatorsinBanachspaces;theyshowusgeneralizationsofthefixedpoillttheoremsonincreasingoperatorsanddecreasingoperators.Applicationsoftheseresultsmaybefoundinmanyfieldsofmathematicssuchasnonlineaxdifferentialequations,illtegralequationsanddynamicprogrammingtheories.Inthispaper,westudytheekistenceofsolutionsandboundarysolutionstoasystem0foperatorequationsinpartialorderingsets.Wegeneralizeandimproveonsomeresultsaboutthecoupledfix…
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BOUNDARY SOLUTIONS OF OPERATOR EQUATIONS IN PARIAL ORDERING SETS WITH APPLICATIONS TO SYSTEMS OF FUNCTIONALEQUATIONS |
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| ZHAO Zengqin XIE Shuheng.BOUNDARY SOLUTIONS OF OPERATOR EQUATIONS IN PARIAL ORDERING SETS WITH APPLICATIONS TO SYSTEMS OF FUNCTIONAL[J].Journal of Systems Science and Complexity,1998(1). |
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| Authors: | ZHAO Zengqin XIE Shuheng |
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| Abstract: | In this papert we study the existence of solutions and boundary solutions tothe following system of operator equations in partial ordering sets.We do not assume any topological structure or algebraic structure on the partial orderingsets. The quasi-order completeness of the ranges on Akik, Bkjk (ik = 1, 2,... mk,jk =1, 2,' nk) is the main condition in the theorems. We discuss the quasi-order completesets in some concrete spaces. As corollaries, we obtain some new coupled fixed point resultsfor mixed monotone operators. Lastly the conclusions are applied to a system of functionalequations arising in dyntaic programming. |
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| Keywords: | Partial ordering set system of operator equati0ns boundary solution |
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