Existence of Solutions to Sturm-Liouville Problem under Copactness Condition
Received:April 18, 2005  Revised:December 15, 2005
Key Words: boundary value problem   measure of noncompactness   fixed point index of condensing mapping   eigenvalue.  
Fund Project:the Natural Science Foundation of Gansu Province (ZS031-A25-003-Z)
Author NameAffiliation
ZHANG Ling-zhong College of Science, Gansu Agricultural University, Gansu 730070, China
College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China 
LI Yong-xiang College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China 
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Abstract:
      Based on the fixed-point theorem, the existence and uniqueness of the solutions to Banach space's Sturm-Liouville boundary value problem is proved precisely calculating the spectral radius of linear operation and the measure of noncompactness.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.04.031
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