scholarly journals Two positive solutions for nonlinear fourth-order elastic beam equations

2019 ◽  
pp. 1-12
Author(s):  
Giuseppina D'Aguì ◽  
Beatrice Di Bella ◽  
Patrick Winkert
Keyword(s):  
Positive Solutions ◽  
Fourth Order ◽  
Elastic Beam ◽  
Beam Equations ◽  
Elastic Beam Equations

scholarly journals The Existence of Symmetric Positive Solutions of Fourth-Order Elastic Beam Equations

Symmetry ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 121 ◽  
Author(s):  
Münevver Tuz
Keyword(s):  
Fixed Point ◽  
Positive Solutions ◽  
Fourth Order ◽  
Eigenvalue Problems ◽  
Fixed Point Theory ◽  
Elastic Beam ◽  
Point Theory ◽  
Beam Equations ◽  
Symmetric Positive Solutions ◽  
Elastic Beam Equations

In this study, we consider the eigenvalue problems of fourth-order elastic beam equations. By using Avery and Peterson’s fixed point theory, we prove the existence of symmetric positive solutions for four-point boundary value problem (BVP). After this, we show that there is at least one positive solution by applying the fixed point theorem of Guo-Krasnosel’skii.

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.

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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