NONTRIVIAL SOLUTIONS OF SINGULAR SECOND ORDER THERE-POINT BOUNDARY VALUE PROBLEM AT RESONANCEN
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Authors
XIAORONG WU
- Department of Mathematics and Physics, Taizhou Teachers College, Taizhou, 225300, China..
FENG WANG
- School of Mathematics and Physics, Jiangsu Polytechnic University, Changzhou, 213164, China..
Abstract
The singular second order three-point boundary value problem at
resonance
\[
\begin{cases}
x''(t) = f(t, x(t)),\,\,\,\,\, 0 < t < 1,\\
x'(0) = 0, x(\eta) = x(1),
\end{cases}
\]
are considered under some conditions concerning the first eigenvalues corresponding
to the relevant linear operators, where \(\eta\in (0, 1)\) is a constant, \(f\)
is allowed to be singular at both \(t = 0\) and \(t = 1\). The existence results of
nontrivial solutions are given by means of the topological degree theory.
Share and Cite
ISRP Style
XIAORONG WU, FENG WANG, NONTRIVIAL SOLUTIONS OF SINGULAR SECOND ORDER THERE-POINT BOUNDARY VALUE PROBLEM AT RESONANCEN , Journal of Nonlinear Sciences and Applications, 1 (2008), no. 1, 49-55
AMA Style
WU XIAORONG, WANG FENG, NONTRIVIAL SOLUTIONS OF SINGULAR SECOND ORDER THERE-POINT BOUNDARY VALUE PROBLEM AT RESONANCEN . J. Nonlinear Sci. Appl. (2008); 1(1):49-55
Chicago/Turabian Style
WU , XIAORONG, WANG, FENG. "NONTRIVIAL SOLUTIONS OF SINGULAR SECOND ORDER THERE-POINT BOUNDARY VALUE PROBLEM AT RESONANCEN ." Journal of Nonlinear Sciences and Applications, 1, no. 1 (2008): 49-55
Keywords
- Singular
- Nontrivial solutions
- Boundary value problem
- Topology degree
- Resonance.
MSC
References
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