| NONTRIVIAL SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS FOR FOURTH-ORDER DIFFERENTIAL EQUATIONS |
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| 基金项目： | the National Natural Science Foundation of China (10671167). |
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| 摘 要： | The singular boundary value problems for fourth-order differential equations are considered under some conditions concerning the first eigenvalues of the relevant linear operators. Sufficient conditions which guarantee the existence of nontrivial solutions are obtained. We use the topological degree to prove our main results.
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NONTRIVIAL SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS FOR FOURTH-ORDER DIFFERENTIAL EQUATIONS |
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| Authors: | Wang Feng Cui Yujun Zhang Fang |
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| Institution: | 1. School of Math. and Physics;Jiangsu Polytechnic University;Changzhou 213164;Jiangsu;2. Dept. of Applied Math.;Shandong University of Science and Technology;Qingdao 266510;Shandong |
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| Abstract: | The singular boundary value problems for fourth-order differential equations are considered under some conditions concerning the first eigenvalues of the relevant linear operators. Sufficient conditions which guarantee the existence of nontrivial solutions are obtained. We use the topological degree to prove our main results. |
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| Keywords: | singular nontrivial solutions boundary value problems topology degree |
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