On the zeros of solutions of beam equations |
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Authors: | Norio Yoshida |
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Institution: | (1) Present address: Department of Mathematics, Faculty of Engineering, Iwate University, 4-3-5 Ueda, 020 Morioka, Japan |
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Abstract: | Summary
We consider extensible beam equations, Timoshenko beam equations and the system of coupled beam equations. We show that, under suitable conditions, there are bounded domains in which every solution satisfying certain end conditions has a zero. End conditions to be considered are hinged ends and hinged-sliding ends. The results are based on the conditions for the nonexistence of positive solutions of ordinary differential inequalities. |
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