Existence of solutions to functional boundary value problem of second-order nonlinear differential equation |
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| Authors: | Zhiliang Zhao Juhua Liang |
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| Institution: | a Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, PR China
b Department of Mathematics, Zhoukou Normal University, Zhoukou, Henan 466001, PR China |
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| Abstract: | In this paper, a functional boundary value problem is studied. Based on Mawhin's coincidence degree theory, some existence theorems are obtained in the case of non-resonance and the cases of  and  at resonance. The results not only generalize and improve some known results of multi-point and integral boundary value problems, but also give some existence theorems for boundary value problems that all their boundary value conditions are relied on both x and x′. |
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| Keywords: | Functional boundary value problems Resonance Coincidence degree theory Existence theorem |
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