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Research Article Open access CC BY 3.0

Positive Solutions of Singular Dirichlet Boundary Value Problems for Second Order Impulsive Differential Equations

Ying He

Journal of Advances in Mathematics and Computer Science · pp. 2089–2096 · Published 31 May 2014

10.9734/BJMCS/2014/10859

Abstract

In this paper, we study the positive solutions of nonlinear singular two-point boundary value problems for second-order impulsive differential equations. The existence of positive solutions is established by using the fixed point theorem in cones.

Positive solution singular two-point boundary value problem second-order impulsive differential equations fixed point theorem

References (9)

  1. 1 Theory of Impulsive Differential Equations [DOI]
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  3. 3 Multiple nonnegative solutions for second order impulsive differential equations [DOI]
  4. 4 Multiple Positive Solutions of Nonlinear Two-Point Boundary Value Problems [DOI]
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  7. 7 Monotone-Iterative Techniques of V. Lakshmikantham for a Boundary Value Problem for Systems of Impulsive Differential-Difference Equations [DOI]
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  9. 9 Impulsive BVPs with nonlinear boundary conditions for the second order differential equations without growth restrictions [DOI]

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