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Positive nonlinear eigenvalue problems for conjugate BVPs

✍ Scribed by Guy Degla


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
199 KB
Volume
55
Category
Article
ISSN
0362-546X

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✦ Synopsis


This paper is devoted to the analysis of bifurcation questions for nonlinear conjugate multi-point BVPs, aiming to detect continua of positive solutions as well as multiplicity of positive solutions.


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Positive solutions to semipositone conju
✍ Hua Su; Zhongli Wei πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 270 KB

In this paper, we consider the existence of positive solutions to the following semipositone (k, nk) conjugate eigenvalue problems (SCEP): where n β‰₯ 2, 1 < k < n -1 and Ξ» > 0 is positive parameter. The nonlinear function f may change sign for 0 < t < 1, i.e., we allow that the nonlinear term f is b