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| POSITIVE SOLUTIONS FOR SINGULAR BOUNDARY VALUE PROBLEM OF SECOND ORDER |
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Citation： |
LIU Jiaquan,ZENG Ping'an,XIONG Ming.POSITIVE SOLUTIONS FOR SINGULAR BOUNDARY VALUE PROBLEM OF SECOND ORDER[J].Chinese Annals of Mathematics B,2004,25(3):383~392 |
| Page view： 1167
Net amount： 753 |
Authors： |
LIU Jiaquan; ZENG Ping'an;XIONG Ming |
Foundation： |
Project supported by the 973 Project of the Ministry of Science and Technology of China
(No.G1999075109). |
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| Abstract： |
Some results of existence of positive solutions for singular
boundary value problems
$$\begin {cases}
-u''(t)=p(t)f(u(t)),\qquad t\in (0,1), \\[1mm]
u(0)=u(1)=0
\end{cases}$$
are given, where the function $p(t)$ may be singular at $t=0 ,1.$ |
Keywords： |
Singular boundary value problem, Positive solutions, Variational
method |
Classification： |
34B15 |
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