4 papers
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…
Fuč\'ık spectrum for discrete systems: curves and their tangent lines
Gabriela Holubová, Petr Nečesal
In this paper, we study the Fuč\'ık spectrum of a square matrix and provide necessary and sufficient conditions for the existence of Fuč\'ık curves emanating from the point $(λ…
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…
Variational and numerical aspects of a system of ODEs with concave-convex nonlinerities
Oscar Agudelo, Gabriela Holubová, Martin Kudláč
In this work we discuss a Hamiltonian system of ordinary differential equations under Dirichlet boundary conditions. The system of equations in consideration features a mixed (conc…