A third-order multi-point boundary value problem at resonance with one three dimensional kernel space

Lin, Xiaojie, Zhao, Bensheng and Du, Zengji



This paper deals with a third order nonlinear differential equations with multi-point boundary conditions. By using the coincidence degree theory, we establish some existence results of the problem at resonance under some appropriate conditions. The emphasis here is that the dimension of the linear operator is equal to three. We also give an example to demonstrate our results.

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Lin, Xiaojie, Zhao, Bensheng, Du, Zengji