Electron. J. Diff. Equ., Vol. 2013 (2013), No. 226, pp. 1-11.

Existence of solutions for (k,n-k-2) conjugate boundary-value problems at Resonance with dim ker L = 2

Weihua Jiang

Abstract:
By constructing suitable project operators and using the coincidence degree theory due to Mawhin, the existence of solutions for (k,n-k-2) conjugate boundary-value problems at resonance with dim kerL = 2 is obtained.

Submitted July 24, 2012. Published October 11, 2013.
Math Subject Classifications: 35B34, 34B10.
Key Words: Resonance; Fredholm operator; boundary value problem.

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Weihua Jiang
College of Sciences
Hebei University of Science and Technology
Shijiazhuang, 050018, Hebei, China
email: weihuajiang@hebust.edu.cn

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