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The Existence of Positive Solution for Singular Boundary Value Problems of First Order Differential Equation on Unbounded Domains 被引量:4

The Existence of Positive Solution for Singular Boundary Value Problems of First Order Differential Equation on Unbounded Domains
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摘要 By constructing a special cone and using cone compression and expansion fixed point theorem, this paper presents some existence results of positive solutions of singular boundary value problem on unbounded domains for a class of first order differential equation. As applications of the main results, two examples are given at the end of this paper. By constructing a special cone and using cone compression and expansion fixed point theorem, this paper presents some existence results of positive solutions of singular boundary value problem on unbounded domains for a class of first order differential equation. As applications of the main results, two examples are given at the end of this paper.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2009年第1期95-104,共10页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China(No.10671167) the Natural Science Foundation of Liaocheng University(31805)
关键词 Singular equation unbounded domain positive solution Singular equation unbounded domain positive solution
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  • 4Guo, D.J. A class of second order impulsive integro-differential equations on unbounded domains. Appl. Math. Comput., 125:59- 77 (2002)
  • 5Guo, D.J. Multiple positive solutions for first order nonlinear impulsive integro-differential equations in a Banach space. Appl. Math. Comput., 143:233-249 (2003)
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  • 7Liu, Y.S. Existence and unboundedness of positive solutions for singular boundary value problems on half-line. Appl. Math. Comput. 144:543-556 (2003)
  • 8Liu, Y.S. Boundary value problems for second order differential equations on unbounded domains in a Banach space. Appl. Math. Comput., 135:569-583 (2003)
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