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Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces

✍ Scribed by Meiqiang Feng; Dehong Ji; Weigao Ge

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
586 KB
Volume
222
Category
Article
ISSN
0377-0427

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✦ Synopsis

This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problem of second-order differential equations with integral boundary conditions in ordered Banach spaces. The arguments are based upon a specially constructed cone and the fixed point theory in a cone for strict set contraction operators. The nonexistence of a positive solution is also studied.

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