Existence of positive solutions to systems of nonlinear integral or differential equations
Keywords
Positive solution, Hammerstein integral equations, fixed point index, product coneAbstract
In this paper, we are concerned with existence of positive solutions for systems of nonlinear Hammerstein integral equations, in which one nonlinear term is superlinear and the other is sublinear. The discussion is based on the product formula of fixed point index on product cone and fixed point index theory in cones. As applications, we consider existence of positive solutions for systems of second-order ordinary differential equations with different boundary conditions.Downloads
Published
2009-12-01
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1.
CHENG, Xiyou and ZHANG, Zhitao. Existence of positive solutions to systems of nonlinear integral or differential equations. Topological Methods in Nonlinear Analysis. Online. 1 December 2009. Vol. 34, no. 2, pp. 267 - 277. [Accessed 29 March 2024].
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