2005 / June Volume 32 No.2
Solvability of multi-point boundary value problems for $2n$-order ordinary differential equations at resonance (Ⅱ)
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2005 / June
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Title | Solvability of multi-point boundary value problems for $2n$-order ordinary differential equations at resonance (Ⅱ) |
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Pagination | 115-149 |
Abstract | In this paper, we prove existence results for solutions of multi-point boundary value problems at resonance (Theorems 2.1-2.2) and for positive solutions at non-resonance (Theorems 2.3) for a 2n-th order differential equation. Our method is based upon the coincidence degree theory of Mawhin. The interest is that the degree of some variables among ${x_0, x_1, \ldots , x_{2n-1}}$ in
the function ${f(t, x_0, x_1, \ldots , x_{2n-1})}$ is allowable to be greater than
1. The results obtained are new.
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AMS Subject Classification |
not available
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Received |
2004-03-18
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