Solvability of multi-point boundary value problems for 2n-th order ordinary differential equations at resonance (II)

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概要

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• In this paper, we prove existence results for solutions of multi-point boundary value problems at resonance(Theorems 2.1-2.4) and for positive solutions at non-resonance(Theorems 2.5 and 2.6) for a 2n-th order differential equation. Our method is based upon the coincidence degree theory of Mawhin. The interesting is that the degree of some variables among $x_0,x_1,\cdots,x_{2n-1}$ in the function $f(t,x_0,x_1,\cdots,x_{2n-1})$ are allowable to be greater than 1. The results obtained are new.

• 広島大学の論文

著者

• Ge Weigao

  Department Of Mathematics Hunan Institute Of Technology

• Liu Yuji

  Department of Applied Mathematics, Beijing Institute of Technology

• Ge Weigao

  Department Of Mathematics Beijing Institute Of Technology

• Liu Yuji

  Department Of Applied Mathematics Beijing Institute Of Technology

関連論文

• Solvability of multi-point boundary value problems for 2n-th order ordinary differential equations at resonance (II)
• Oscillation for a class of nonlinear functional hyperbolic equations with the Robin boundary condition

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