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math.AP2025
Notes on number of one-troughed travelling waves in asymmetrically supported bending beam
Hana Formánková Levá, Gabriela Holubová
We study the boundary value problem for nonlinear fourth-order partial differential equation with jumping nonlinearity which can serve, e.g., as a model of an asymmetrically suppor…
math.AP2024
Lower Bounds for Admissible Values of the Travelling Wave Speed in Asymmetrically Supported Beam
Hana Formánková Levá, Gabriela Holubová, Petr Nečesal
We study the admissible values of the wave speed for which the beam equation with jumping nonlinearity possesses a travelling wave solution. In contrast to previously studied p…