Existence and Incomparability of Positive Solutions for Singular Boundary Value Problems of First Order Differential Equation on Unbounded Domains
Received:March 02, 2007  Revised:September 07, 2007
Key Words: singular equation   unbounded domain   positive solution   incomparability.  
Fund Project:the National Natural Science Foundation of China (No.10671167); the Natural Science Foundation of Liaocheng University (No.31805).
Author NameAffiliation
ZHANG Xing Qiu School of Mathematics, Liaocheng University, Shandong 252059, China 
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Abstract:
      By constructing a special cone and applying the fixed point theorem of cone compression and expansion, this paper investigates the existence of positive solutions for a class of first order singular boundary value problem (BVP, for short) on unbounded domains. Moreover, an incomparable result about two positive solutions for the BVP is also obtained and an example is given to illustrate the application of the main results.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.03.014
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