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Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (9): 1219-1226 .doi: https://doi.org/10.1007/s10483-007-0910-y

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Solvability of 2n-order m-point boundary value problem at resonance

JIANG Wei-hua, GUO Yan-ping, QIU Ji-qing   

    1. College of Mathematics and Science of Information, Hebei Normal University, Shijiazhuang 050016, P. R. China;
    2. College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, P. R. China
  • Received:2006-10-23 Revised:2007-05-28 Online:2007-09-18 Published:2007-09-18
  • Contact: QIU Ji-qing

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Abstract: The existence of solutions for the 2n-order m-point boundary value problem at resonance is obtained by using the coincidence degree theory of Mawhin. We give an example to demonstrate our result. The interest is that the nonlinear term may be noncontinuous.

Key words: resonance, Fredholm operator, multi-point boundary value problem, coincidence degree theory

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