| POSITIVE SOLUTIONS OF FOURTH-ORDER TWO-POINT BOUNDARY VALUE PROBLEMS |
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| 作者姓名： | 马如云 |
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| 作者单位： | Dept. of Math.，Northwest Normal University，Lanzhou 730070 |
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| 摘 要： | 1IntroductionInthispaper,weconsidertheexistenceofpositivesolutionsoftheequationwithoneofthefollowingsetsofboundaryvalueconditionsWhenthefunctionf(x,y)p)inequation(l.1)isoftheformf(x,y,p)Hy,theboundaryvalueproblem(l.1)-(1.2)describesthedeformationsofanelasticbeambothofwhoseendssimplysupportedat0and1,andtheboundaryvalueproblem(1.l)-(l.3)describesanelasticbeamwithoneofitsendsimplysupportedandtheotherendclampedbyslidingclamps.In11,Aftabizadehshowedtheexistenceofasolutionto(l.l)-(l.2)undertherest…
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POSITIVE SOLUTIONS OF FOURTH-ORDER TWO-POINT BOUNDARY VALUE PROBLEMS |
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| Ma Ruyun.POSITIVE SOLUTIONS OF FOURTH-ORDER TWO-POINT BOUNDARY VALUE PROBLEMS[J].微分方程年刊(英文版),1999(3). |
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| Authors: | Ma Ruyun |
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| Abstract: | We study the existence of positive solutions of the equation f(x, y(x),y"(x)) =0 with either y(0)= y(1) =y"(0) = y"(1) =0 or y(0) = y'(1)=y"(0) = y"(1) = 0. We show the existence of at least one positive solution if f is either superlinear of sublinear by a simple application of a fixed point theorem In cones. |
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| Keywords: | positive solution boundary value problem cone |
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