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Lee, Eun Kyoung; Lee, Yong-Hoon

Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations. (English) Zbl 1069.34035

Appl. Math. Comput. 158, No. 3, 745-759 (2004).
The authors consider a singular two-point boundary value problem for a second-order differential equation with impulses at fixed moments. The existence of positive solutions is investigated by combining the method of upper and lower solutions with fixed-point index theorems on a cone.
Reviewer: Marat Akhmet (Ankara)

Cited in 71 Documents

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34A37 Ordinary differential equations with impulses
34B16 Singular nonlinear boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations

Keywords:

impulsive second-order differential equations; singular nonlinear boundary value problem; positive solutions
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\textit{E. K. Lee} and \textit{Y.-H. Lee}, Appl. Math. Comput. 158, No. 3, 745--759 (2004; Zbl 1069.34035)
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References:

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