共查询到20条相似文献,搜索用时 156 毫秒
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张晓萍 《数学的实践与认识》2010,40(21)
研究了一类非线性三阶三点边值问题解的存在性,在非线性项半正的情况下借助于Krasnoselskii锥拉伸与锥压缩不动点定理证明了正解的存在性. 相似文献
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利用Krasnosel′skll锥拉伸与锥压缩不动点定理研究一类三阶两点边值问题单调正解的存在性、非存在性与多解性. 相似文献
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研究了一类二阶非线性微分方程在非齐次边界条件下的两点边值问题单调解的存在性.运用锥拉伸与锥压缩不动点定理,分别得到了边值问题单调递增正解和单调递减负解存在的充分条件. 相似文献
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路慧芹 《数学物理学报(A辑)》2007,27(5):845-854
该文研究了一类非线性两点边值问题正解的确切个数及全局结构, 证明了其解集本身构成一条连通分支.广泛地回答了文献[1]中提出的问题. 相似文献
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Using the cone theory and lattice structure, we discuss the existence of asymptotic bifurcation points and the global bifurcation of nonlinear operators which are not assumed to be cone mappings and may not be Frechet differentiable at points at infinity. As an application, the structure of the set of solutions of the superlinear Sturm-Liouville problems is investigated. 相似文献
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In this paper, by using global bifurcation theories we obtain some results for structure of positive solution set of some nonlinear equations with parameters. As a result, we obtain some existence results for positive solutions of the nonlinear operator equation. The main result can be applied to various of differential boundary value problems to obtain the existence results for positive solutions without the assumption that the nonlinearities are positone. 相似文献
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In this paper, first we obtain some results on the structure of the positive solution set of a nonlinear operator equation. Then using these results, we obtain some existence results for positive solutions of nonlinear operator equations. We use global bifurcation theories to show our main results. 相似文献
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Christoph Walker 《Journal of Differential Equations》2010,248(7):1756-1776
Existence of nontrivial nonnegative equilibrium solutions for age-structured population models with nonlinear diffusion is investigated. Introducing a parameter measuring the intensity of the fertility, global bifurcation is shown of a branch of positive equilibrium solutions emanating from the trivial equilibrium. Moreover, for the parameter-independent model we establish existence of positive equilibria by means of a fixed point theorem for conical shells. 相似文献
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J.V.A. Goncalves Edcarlos D. Silva 《Journal of Mathematical Analysis and Applications》2011,384(2):387-399
A result on existence of positive solution for a fourth order nonlinear elliptic equation under Navier boundary conditions is established. The nonlinear term involved is asymptotically linear both at the origin and at infinity. We exploit topological degree theory and global bifurcation. 相似文献
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姚庆六 《数学物理学报(A辑)》2009,29(1):48-56
通过构造适当的锥并利用锥拉伸与锥压缩型的不动点定理研究了单位球上一类椭圆 Dirichlet 边值问题的正径向解的存在性, 其中非线性项可以是奇异的. 主要结论表明正径向解的存在性仅依赖于非线性项在其定义域的某个有界子集上的性质, 而与非线性项在此集合以外的性质无关. 相似文献
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By using global bifurcation theories we obtain an existence result for positive solutions of some nonlinear operator equations. The main result can be applied to various of differential boundary value problems to obtain the existence results for positive solutions. 相似文献
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This paper deals with the existence of triple positive solutions for Sturm–Liouville boundary value problems of second-order nonlinear differential equation on a half line. By using a fixed point theorem in a cone due to Avery–Peterson, we show the existence of at least three positive solutions with suitable growth conditions imposed on the nonlinear term. 相似文献
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姚庆六 《数学物理学报(A辑)》2008,28(4):768-778
设 n 是一个任意的自然数. 证明了一个两端固定的奇异梁方程的 n 个正解的存在性, 其中非线性项是一个Carathéodory 函数. 主要工具是涉及非线性项的高度函数与锥压缩锥拉伸型的 Krasnoselskii不动点定理. 进一步的研究表明,如果非线性项在零点和无穷远处的增长极限均为无界函数, 该方程仍可能具有正解. 相似文献
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Existence of positive solutions for Sturm-Liouville boundary value problems on the half-line 总被引:2,自引:0,他引:2
In this paper, we establish sufficient conditions to guarantee the existence of at least one positive solution, a unique positive solution, and multiple positive solutions for the Sturm-Liouville boundary value problem on the half-line. By using an effective operator, the fixed point theorems in cone, especially Krasnoselskii fixed point theorem, can be applied to such systems and then existence criteria are established. The interesting point of the results is that the nonlinear term f can be sign-changing. 相似文献