Electron. J. Diff. Equ., Vol. 2012 (2012), No. 114, pp. 1-10.

Solvability of (k,n-k) conjugate boundary-value problems at resonance

Weihua Jiang, Jiqing Qiu

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 1, 2012. Published July 5, 2012.
Math Subject Classifications: 35B34, 34B10, 34B15.
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
Jiqing Qiu
College of Sciences
Hebei University of Science and Technology
Shijiazhuang, 050018, Hebei, China
email: qiujiqing@263.net

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