On the Positive Solutions of a Nonlinear Fourth-order Boundary Value Problem with Two Parameters |
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| Authors: | Qingliu Yao |
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| Institution: | Department of Applied Mathematics , Nanjing University of Finance and Economics , Nanjing 210003, China |
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| Abstract: | The existence of m positive solutions is proven for a nonlinear fourth-order boundary value problem with two parameters, where m is an arbitrary natural number. This kind of fourth-order boundary value problems usually describes the equilibrium state of elastic beam where both ends are simply supported. The main ingredient is Krasnosel'skii fixed point theorem of cone expansion–compression type. |
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| Keywords: | Nonlinear fourth-order boundary value problem Positive solution Existence Multiplicity Nonexistence |
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