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Existence and multiplicity results for nonlinear periodic boundary value problems

✍ Scribed by Xinan Hao; Lishan Liu; Yonghong Wu

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
499 KB
Volume
72
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper studies the existence of positive solutions for periodic boundary value problems. The criteria for the existence, nonexistence and multiplicity of positive solutions are established by using the Global continuation theorem, fixed point index theory and approximate method. The results obtained herein generalize and complement some previous findings of [J.R. Graef, L. Kong, H. Wang, Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem, J. Differential Equations 245 (2008) 1185-1197] and some other known results.

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