NONTRIVIAL SOLUTIONS OF SINGULAR SECOND ORDER THERE-POINT BOUNDARY VALUE PROBLEM AT RESONANCEN

Volume 1, Issue 1, pp 49-55
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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.

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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.

•  34B15
•  34B25

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