The solvability and numerical simulation for the elastic beam problems with nonlinear boundary conditions (Q1724146)

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scientific article; zbMATH DE number 7022407
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The solvability and numerical simulation for the elastic beam problems with nonlinear boundary conditions
scientific article; zbMATH DE number 7022407

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    The solvability and numerical simulation for the elastic beam problems with nonlinear boundary conditions (English)
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    14 February 2019
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    Summary: We study the existence of multiple solutions for a fourth-order nonlinear boundary value problem. We give some new criteria for guaranteeing that the fourth-order elastic beam equation with a perturbed term has at least three solutions. The proof is based on some three critical points theorems of B. Ricceri. Furthermore, numerical simulations are also presented.
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