Solvability of 2n-order m-point boundary value problem at resonance
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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 wordsresonance Fredholm operator multi-point boundary value problem coincidence degree theory
Chinese Library ClassificationO175.8
2000 Mathematics Subject Classification34B10 34B15
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- Mawhin J. Topological degree methods in nonlinear boundary value problems[C]. In: NSFCBMS Regional Conference Series in Mathematics. Providence, RI: American Mathematical Society, 1979.Google Scholar