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A maximum principle for fourth order ordinary differential equations. (English) Zbl 0681.34016

Summary: We present a maximum principle for fourth order ordinary differential equations, based on a new approach involving counting of inflection points. We use our results to compute solutions of nonlinear equations describing static displacements of a uniform beam.

MSC:

34A40 Differential inequalities involving functions of a single real variable
34B15 Nonlinear boundary value problems for ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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References:

[1] Chow S. N., J. Differential Equations 14 pp 101– (1973) · Zbl 0286.34020
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[6] Timoshenko S., Strength of Materials (1955) · JFM 66.1364.04
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