Existence of Solutions for Higher Order Multi-Point Boundary Value Problems at Resonance

LIN Xiao-jie; DU Zeng-ji; GE Wei-gao

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LIN Xiao-jie, DU Zeng-ji, GE Wei-gao. Existence of Solutions for Higher Order Multi-Point Boundary Value Problems at Resonance[J]. Applied Mathematics and Mechanics, 2006, 27(5): 624-630.

Citation:

LIN Xiao-jie, DU Zeng-ji, GE Wei-gao. Existence of Solutions for Higher Order Multi-Point Boundary Value Problems at Resonance[J]. Applied Mathematics and Mechanics, 2006, 27(5): 624-630.

Citation:

LIN Xiao-jie, DU Zeng-ji, GE Wei-gao. Existence of Solutions for Higher Order Multi-Point Boundary Value Problems at Resonance[J]. Applied Mathematics and Mechanics, 2006, 27(5): 624-630.

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Existence of Solutions for Higher Order Multi-Point Boundary Value Problems at Resonance

1.
Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu 221116, P. R. China;

Received Date: 2004-02-01
Rev Recd Date: 2006-01-17
Publish Date: 2006-05-15

Abstract

Abstract

Using the theory of coincidence degree, a class of higher order multi-point boundary value problem for ordinary differerntial equations are studied. Under the boundary conditions satisfying the resonance case, some new existence results are obtained by supposing some conditions to the nonlinear term and applying a priori estimates.
- boundary value problem,
- resonance,
- coincidence degree theory

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References(13)

References

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