Electronic Journal of Differential Equations, Vol. 2013 (2013), No. 226, pp. 1-11. Title: Existence of solutions for (k,n-k-2) conjugate boundary-value problems at Resonance with dim ker L = 2 Author: Weihua Jiang (Hebei Univ. of Science and Tech., Hebei, China) 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.