共查询到20条相似文献,搜索用时 10 毫秒
1.
The existence of multiple positive solutions is presented for the singular second-order boundary value problems
using the fixed point index, where f may be singular at x = 0 and x′ = 0.
The project is supported by the fund of natural science of Shandong Province. 相似文献
2.
For the nth order nonlinear differential equation y
(n)(t)=f(y(t)), t [0,1], satisfying the multipoint conjugate boundary conditions, y
(j)(ai) = 0,1 i k, 0 j n
i
- 1, 0 =a
1 < a
2 < < a
k
= 1, and
i=1
k
n
i
=n, where f: [0, ) is continuous, growth condtions are imposed on f which yield the existence of at least three solutions that belong to a cone. 相似文献
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A.C. Peterson Y.N. Raffoul † C.C. Tisdell ‡ 《Journal of Difference Equations and Applications》2013,19(9):843-849
This work formulates existence theorems for solutions to three-point boundary value problems on time scales. The ideas are based on a relationship between the three point boundary conditions, lower and upper solutions and topological degree theory. 相似文献
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研究了一类四阶奇异边值问题正解的存在性,在f和g满足比超线性和次线性条件更广泛的极限条件下,利用锥压缩和拉伸不动点定理获得了正解的存在性结果,推广和包含了一些已知结果. 相似文献
8.
本文讨论了(k,n-k)共轭边值问题的正解存在性,其中λ是一个正参数。应用Krasnoselsii‘s的不动点定理得到了正确存在准则。 相似文献
9.
Zhong-li Wei Shao-zhu Chen 《应用数学学报(英文版)》2005,21(4):553-564
This paper investigates existence of positive solutions of singular sub-linear boundary value problems on a half-line. Necessary and sufficient conditions for the existence of positive continuous solutions or smooth solutions on [0, ∞] are given by constructing new lower and upper solutions. 相似文献
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一类奇异两点边值问题的正解 总被引:10,自引:0,他引:10
本文研究了奇异二阶常微分方程边值问题其中α,β,γ,δ≥0,ρ=αγ γβ δα>0,并且允许h(t)在t=0和t=1处奇异,f(s)在s=0 处奇异.在关于相应线性算子第一特征值的条件下,得到正解的存在性结论. 相似文献
12.
研究了一类带有参数的高阶奇异微分方程共轭边值问题,使用G uo-K rasnoselsk ii不动点定理得到了使得该问题正解存在与不存在的参数区间. 相似文献
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We consider the algebras Λ which satisfy the property that for each indecomposable module X, either its projective dimension pdΛ
X is at most one or its injective dimension idΛ
X is at most one. This clearly generalizes the so-called quasitilted algebras introduced by Happel–Reiten–Smal?. We show that
some of the niciest features for this latter class of algebras can be generalized to the case we are considering, in particular
the existence of a trisection in its module category.
Received: 26 August 1998 相似文献
16.
Gerhard Röhrle 《manuscripta mathematica》1999,98(1):9-20
For a linear algebraic group G over an algebraically closed field k and a parabolic subgroup P of G the modality of P is defined to be the maximal number of parameters upon which a family of G-orbits on Lie P
u
depends and it is denoted by mod P, where P
u
is the unipotent radical of P. The principal aim of this note is a generalization of two basic “monotonicity” results from [19] to positive characteristic:
(1) If Θ is a semisimple automorphism of G and P is Θ-stable, then mod P
\Θ≤ mod P. (2) If G is reductive, char k is a good prime for G, and H is a closed reductive subgroup of G normalized by a maximal torus T⊂P of G, then mod (P∩H)≤ mod P.
Received: 22 April 1998 / Revised version: 3 July 1998 相似文献
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一维p-Laplacian奇异Sturm-Liouville边值问题的正解 总被引:18,自引:0,他引:18
本文在条件 0 ≤ f+ 0 <p(M1) ,p(m1) 1 ,f+ 0 =limu→ 0f(u)p(u) ,f-∞ =limu→∞f(u)p(u) ,f-0 =limu→ 0f(u)p(u) ,f+ ∞ =limu→∞f(u)p(u) ,g在区间 [0 ,1 ]的端点可以具有奇性 . 相似文献
19.
运用Gatica,Oliker和Waltman锥上的不动点定理,在映射是减的条件下讨论时间模上的二阶非线性动力学方程m-点边值问题uΔΔ(t)+f(t,u(t))=0,t∈[0,1]Tu(0)=0,u(1)=∑m-2i=1αiu(ξi)正解的存在性.其中ξi∈(0,1)T,0<ξ1<ξ2<…<ξm-2<1,αi>0,0<∑m-2i=1αi 1.f(t,u)在u=0,t=0,u=∞是奇异的. 相似文献
20.
利用锥拉伸与压缩不动点定理,给出了四阶微分方程奇异边值问题C^2[0,1]和C^2-[0,1]正解的存在性. 相似文献