Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 114, pp. 1-10.

Title: Solvability of (k,n-k) conjugate boundary-value problems at resonance
  
Authors: Weihua Jiang (Hebei Univ., of Science and Technology, China)
         Jiqing Qiu   (Hebei Univ., of Science and Technology, China)

Abstract:
 Using the coincidence degree theory due to Mawhin and constructing
 suitable operators, we prove the existence of solutions for (k,n-k)
 conjugate boundary-value problems at resonance.

Submitted May 01, 2012. Published July 05, 2012.
Math Subject Classifications: 35B34, 34B10, 34B15.
Key Words: Resonance; Fredholm operator; boundary-value problem.