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【期刊论文】Positive solutions of some singular m-point boundary value problems at non-resonance
韦忠礼, Zhongli Wei*, Changci Pang
Applied Mathematics and Computation 171(2005)433-449,-0001,():
-1年11月30日
This paper investigates the existence of positive solutions for second-order singular m-point boundary value problems at non-resonance. A necessary and sufficient condition for the existence of C[0, 1] as well as C1[0, 1] positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity f(t,x) may be singular at x,t=0 and/or t=1.
Singular m-point boundary value problem, Positive solution, Lower and upper solution, Maximum principle, Non-resonance
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韦忠礼
数学学报,2005,7(4):727-738,-0001,():
-1年11月30日
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。
奇异边值问题, 正解, 上下解
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【期刊论文】Existence of positive solutions for 2nth-order singular sublinear boundary value problems
韦忠礼, Zhongli Wei
J. Math. Anal. Appl. 306(2005)619-636,-0001,():
-1年11月30日
This paper investigates the existence of positive solutions for 2nth-order (n>1) singular sublinear 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.
Singular boundary value problem, Positive solution, Lower and upper solution, Maximum principle, 2nth-order
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【期刊论文】Exact structure of positive solutions for some p-Laplacian equations
韦忠礼, Zhongli Wei∗, Changci Pang
J. Math. Anal. Appl. 301(2005)52-64,-0001,():
-1年11月30日
This paper establishes the exact multiplicities and properties of positive solutions for some second order differential equations involving p-Laplacian operator.
Positive solution, Exact structure of all solutions, Properties of solutions
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【期刊论文】A class of fourth order singular boundary value problems
韦忠礼, Zhongli Wei
Applied Mathematics and Computation 153(2004)865-884,-0001,():
-1年11月30日
By constructing lower and upper solutions and with the maximal theorem, the author gives a necessary and sufficient condition for the existence of C2[0,1] as well as C3[0,1] positive solutions of singular boundary value problems for a class of fourth order sublinear differential equations.
Singular boundary value problem, Positive solution, Lower and upper solution, Maximum principle
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