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EXISTENCE RESULTS FOR SEMIPOSITONE BOUNDARY VALUE PROBLEMS 总被引:5,自引:0,他引:5
1 IntroductionWe consider the existence of positive solutions for the Sturm-Liouville boundary vaueproblemwhere f and e: [r, R x [0, oo) - R are two continuous functions satisfying:(H1) f(t, u) 2 0, for (t, u) 6 [r, R x [0, oo);(H2) There exists M > 0 such thatThe boundary value problem (l.1)-(1.2) arises iu a variety of different applied mathematicsand physics. We note that the well-known Proudmau equation(whicli was established by Proudman in 1926, see J. Proudman, Proc. London Math. … 相似文献
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给出了复函数的高阶微分中值公式,并利用Stirling数这个工具获得了该公式“中值点”的渐近性. 相似文献
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给出了复函数的高阶微分中值公式,并利用Stirling数这个工具获得了该公式"中值点"的渐近性. 相似文献
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In this paper,using fixed theorem in cones,the authors obtain the existence of multiple positive solutions on the following boundary value problem u" α(t)f(u)=0,t∈[0,1], u(0)=0,αu(η)·=u(1). 相似文献
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任立顺 《高校应用数学学报(英文版)》2003,18(2):138-142
§ 1 IntroductionThe deformations of an elastic beam are described by a fourth-order two-pointbound-ary value problem[1 ] .The boundary conditions are given according to the controls at theends of the beam. For example,the nonlinear fourth order problemu(4) (x) =λa(x) f(u(x) ) ,u(0 ) =u′(0 ) =u′(1 ) =u (1 ) =0 (1 .1 ) λdescribes the deformations of an elastic beam whose one end fixed and the other slidingclamped.The existence of solutions of (1 .1 ) λhas been studied by Gupta[1 ] . But … 相似文献
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本文讨论可能带阻尼项的半线性梁方程系统 utt uxxxx But=Au g( t,x,u) h( t,x)的周期边值问题 .借助 L yapunov- Schmidt方法 ,利用 Leray- Schauder不动点定理 ,在一定条件下证明了该系统至少存在一个解 相似文献
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利用锥上的不动点定理,考察了一类非线性特征值问题u″(t)+λf(t,u(t))=0,0≤t≤1,u(0)=0,αu(η)=u(1)的多个正解的存在性,给出了四个正解存在的充分条件,这里0<η<1,α>0. 相似文献
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数学通讯一九八九年第九期发表了《也谈二次曲线的化简问题》,该文通过圆锥曲线的直径方程给出了中心型曲线 u(x,y)=Ax~2+Bxy+Cy~2+F=0化简的一种方法。本文将利用二次曲线的对称 相似文献