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.
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Fund Project:the National Natural Science Foundation of China (No.10671167); the Natural Science Foundation of Liaocheng University (No.31805). |
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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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