Existence Theory for Single Positive Solution to Fourth-Order Boundary Value Problems

DOI: 10.4236/apm.2014.48053   PDF   HTML     5,326 Downloads   5,753 Views   Citations


By fixed point theorem of a mixed monotone operator, we study boundary value problems to nonlinear singular fourth-order differential equations, and provide sufficient conditions for the existence and uniqueness of positive solution. The nonlinear term in the differential equation may be singular.

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He, Y. (2014) Existence Theory for Single Positive Solution to Fourth-Order Boundary Value Problems. Advances in Pure Mathematics, 4, 480-486. doi: 10.4236/apm.2014.48053.

Conflicts of Interest

The authors declare no conflicts of interest.


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