共查询到20条相似文献,搜索用时 31 毫秒
1.
Zhongli Wei 《Journal of Mathematical Analysis and Applications》2007,327(2):930-947
In this paper, we study the existence of positive solutions for singular super-linear m-point boundary value problems of 2nth-order ordinary differential equations. A necessary and sufficient condition for the existence of C2n−2[0,1] positive solutions as well as C2n−1[0,1] positive solutions is given by means of the fixed point theorems on cones. 相似文献
2.
This paper investigates the existence of positive solutions of singular multi-point boundary value problems of fourth order ordinary differential equation with p-Laplacian. A necessary and sufficient condition for the existence of C2[0,1] positive solution as well as pseudo-C3[0,1] positive solution is given by means of the fixed point theorems on cones. 相似文献
3.
This paper investigates the existence of positive solutions for fourth order singular m-point boundary value problems. Firstly, we establish a comparison theorem, then we define a partial ordering in C2[0,1]∩C4(0,1) and construct lower and upper solutions to give a necessary and sufficient condition for the existence of C2[0,1] as well as C3[0,1] positive solutions. Our nonlinearity f(t,x,y) may be singular at x, y, t=0 and/or t=1. 相似文献
4.
In this paper, by the use of a fixed point theorem, many new necessary and sufficient conditions for the existence of positive solutions in C[0,1]∩C1[0,1]∩C2(0,1) or C[0,1]∩C2(0,1) are presented for singular superlinear and sublinear second-order boundary value problems. Singularities at t=0, t=1 will be discussed. 相似文献
5.
Zhongli Wei 《Journal of Mathematical Analysis and Applications》2007,328(2):1255-1267
This paper investigates the existence of positive solutions of singular Dirichlet boundary value problems for second order differential system. A necessary and sufficient condition for the existence of C[0,1]×C[0,1] positive solutions as well as C1[0,1]×C1[0,1] positive solutions is given by means of the method of lower and upper solutions and the fixed point theorems. Our nonlinearity fi(t,x1,x2) may be singular at x1=0, x2=0, t=0 and/or t=1, i=1,2. 相似文献
6.
Zhongli Wei 《Journal of Mathematical Analysis and Applications》2005,306(2):619-636
This paper investigates the existence of positive solutions for 2nth-order (n>1) singular sub-linear boundary value problems. A necessary and sufficient condition for the existence of C2n−2[0,1] as well as C2n−1[0,1] positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity f(t,x1,x2,…,xn) may be singular at xi=0, i=1,2,…,n, t=0 and/or t=1. 相似文献
7.
In this paper, we investigate the existence of positive solutions for fourth order singular p-Laplacian differential equations with integral boundary conditions and non-monotonic function terms. Firstly, we establish a comparison theorem, then we define a partial ordering in E 0 and construct lower and upper solutions to give a necessary and sufficient condition for the existence of C 2[0,1] as well as pseudo-C 3[0,1] positive solutions. Our nonlinearity f(t,x,y) may be singular at x=0, y=0, t=0 and t=1. Finally, we give some the dual results for the other cases of fourth order singular integral boundary value problems and an example to demonstrate the corresponding main results. 相似文献
8.
韦忠礼 《数学物理学报(A辑)》2008,28(1):174-182
该文主要研究二阶次线性奇异三点边值问题的正解的存在性,利用上下解方法和比较定理给出了C[0,1] 和 C1[0,1]$ 正解存在的充分必要条件,其中的非线性项 f(t,x) 可以在 x=0, t=0 和 t=1 处奇异. 相似文献
9.
《Applied Mathematics Letters》2003,16(3):279-285
This paper studies positive solutions to a class of superlinear (sublinear) fourth-order singular boundary value problems by means of operator approximation theory and fixed point theorems. A necessary and sufficient condition for the existence of C3[0, 1] positive solutions is obtained, which extends and includes some known results. 相似文献
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11.
一类四阶次线性奇异边值问题的正解 总被引:9,自引:0,他引:9
本文利用极大值原理和通过构造上下解给出了一类四阶次线性微分方程的奇异边值问题有C2[0,1]和C3[0,1]正解存在的充分必要条件. 相似文献
12.
超线性奇异边值问题正解存在的充分必要条件 总被引:20,自引:1,他引:19
本文利用锥上的不动点定理给出了四阶超线性微分方程奇异边值问题C2[0,1]和C3[0,1]正解存在的充分必要条件. 相似文献
13.
利用单调迭代方法给出了一类2n阶次线性奇异常微分方程正解的存在性,得到C~(2n-2)[0,1]和C~(2n-1)[0,1]正解存在的充分必要条件,也得到正解的唯一性. 相似文献
14.
This paper investigates the existence of positive solutions of a singular boundary value problem with negative exponent similar
to standard Emden-Fowler equation. A necessary and sufficient condition for the existence of C[0, 1] positive solutions as
well as C1[0, 1] positive solutions is given by means of the method of lower and upper solutions with the Schauder fixed point theorem. 相似文献
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16.
利用范数形式的锥拉伸与压缩不动点定理,对一类四阶奇异超线性微分方程边值问题做了研究,得到C~2[0,1]正解与C~3[0,1]正解存在的充分必要条件,也得到C~2[0,1]正解的不可比较性等解的性质. 相似文献
17.
一类四阶奇异边值问题的正解存在的充分必要条件 总被引:2,自引:0,他引:2
利用上下解方法和极大值原理给出了一般边界条件下四阶微分方程的奇异迫值问题有C^2[0,1]和C^3[0,1]正解存在的充分必要条件.推广了韦忠礼(1999)的结果。 相似文献
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19.
二阶奇异超线性微分方程正解的存在性和不可比较性 总被引:6,自引:0,他引:6
本文通过构造—个特殊的锥,利用范数形式的锥拉伸不动点定理对较广泛的一类二阶奇异超线性微分方程边值问题做了研究,得到所述问题的Cp1[0,1]正解存在的充分条件、必要条件,以及Cp1[0,1]正解的不可比较性. 相似文献
20.
一类二阶奇异微分方程正解的存在唯一性 总被引:2,自引:1,他引:1
利用上下解方法,不动点理论研究奇异微分方程u" f(t,u)=0,t∈(0,1)在边界条件au(0)-βu'(0)=0,γu(1) δu'(1)=0下C[0,1]正解和C1[0,1]正解的存在性与唯一性.其中非线性项f(t,u)关于u是减的,仅满足较弱的要求. 相似文献