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Existence and Multiplicity Results for Nonlinear Differential Equations Depending on a Parameter in Semipositone Case

Hailong Zhu and Shengjun Li

Abstract and Applied Analysis, 2012, vol. 2012, 1-10

Abstract:

The existence and multiplicity of solutions for second-order differential equations with a parameter are discussed in this paper. We are mainly concerned with the semipositone case. The analysis relies on the nonlinear alternative principle of Leray-Schauder and Krasnosel'skii's fixed point theorem in cones.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:215617

DOI: 10.1155/2012/215617

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