Solvability of the boundary value problems for the elastic beam equations with impulsive effects crossing resonance points

2020 ◽  
Vol 43 (10) ◽  
pp. 6324-6337
Author(s):  
Xiaoqian Chao ◽  
Wenbin Liu ◽  
Tengfei Shen
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Elastic Beam ◽  
Impulsive Effects ◽  
Beam Equations ◽  
Elastic Beam Equations

scholarly journals Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Jian Liu ◽  
Wenguang Yu
Keyword(s):  
Iterative Method ◽  
Variational Methods ◽  
Critical Point ◽  
Fourth Order ◽  
Elastic Beam ◽  
Kirchhoff Type ◽  
Newton Iterative Method ◽  
Beam Equations ◽  
Critical Point Theorems ◽  
Elastic Beam Equations

AbstractIn this paper, the existence of two solutions for superlinear fourth-order impulsive elastic beam equations is obtained. We get two theorems via variational methods and corresponding two-critical-point theorems. Combining with the Newton-iterative method, an example is presented to illustrate the value of the obtained theorems.

Variational approaches to impulsive elastic beam equations of Kirchhoff type

2016 ◽  
Vol 61 (7) ◽  
pp. 931-968 ◽  
Author(s):  
Shapour Heidarkhani ◽  
Ghasem A. Afrouzi ◽  
Massimiliano Ferrara ◽  
Shahin Moradi
Keyword(s):  
Elastic Beam ◽  
Kirchhoff Type ◽  
Beam Equations ◽  
Variational Approaches ◽  
Elastic Beam Equations

scholarly journals Non-trivial solutions for nonlinear fourth-order elastic beam equations

2011 ◽  
Vol 62 (4) ◽  
pp. 1862-1869 ◽  
Author(s):  
Gabriele Bonanno ◽  
Beatrice Di Bella ◽  
Donal O’Regan
Keyword(s):  
Fourth Order ◽  
Elastic Beam ◽  
Beam Equations ◽  
Elastic Beam Equations
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