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Positive solutions for a class of boundary-value problems with integral boundary conditions

✍ Scribed by Xuemei Zhang; Weigao Ge

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
668 KB
Volume
58
Category
Article
ISSN
0898-1221

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✦ Synopsis

This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problems of fourth-order differential equations with integral boundary conditions. The arguments are based upon a specially constructed cone and the fixed-point theory in cone. The nonexistence of positive solutions is also studied.

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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 poin

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✍ Meiqiang Feng πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 240 KB

This paper studies the existence of symmetric positive solutions for a second-order nonlinear ordinary differential equation with integral boundary conditions by applying the theory of fixed point index in cones. For the demonstration of the results, an illustrative example is presented.