Advances in Pure Mathematics
Volume 4, Issue 8 (August 2014)
ISSN Print: 2160-0368 ISSN Online: 2160-0384
Google-based Impact Factor: 0.48 Citations
Existence Theory for Single Positive Solution to Fourth-Order Boundary Value Problems ()
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ABSTRACT
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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