Abstract
In this paper, we generalize the fixed point theorem of cone expansion and compression of norm type to the theorem of functional type. As an application, the existence of positive solutions for some fourth–order beam equation boundary value problems is obtained. The emphasis is put on that the nonlinear term is dependent on all lower order derivatives.
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This work is supported by the National Nature Science Foundation of China (10371006)
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Bai, Z.B., Ge, W.G. Existence of Positive Solutions to Fourth Order Quasilinear Boundary Value Problems. Acta Math Sinica 22, 1825–1830 (2006). https://doi.org/10.1007/s10114-005-0806-z
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DOI: https://doi.org/10.1007/s10114-005-0806-z