Identification problem for nonlinear beam -- extension for different types of boundary conditions

Radová, Jana, and Machalová, Jitka. "Identification problem for nonlinear beam -- extension for different types of boundary conditions." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2023. 199-208. <http://eudml.org/doc/299028>.

@inProceedings{Radová2023,
abstract = {Identification problem is a framework of mathematical problems dealing with the search for optimal values of the unknown coefficients of the considered model. Using experimentally measured data, the aim of this work is to determine the coefficients of the given differential equation. This paper deals with the extension of the continuous dependence results for the Gao beam identification problem with different types of boundary conditions by using appropriate analytical inequalities with a special attention given to the Wirtinger's inequality and its modification. On the basis of these results for the different types of the boundary conditions the existence theorem for the identification problem can be proven.},
author = {Radová, Jana, Machalová, Jitka},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {identification problem; nonlinear Gao beam; Wirtinger's inequality; Wirtinger-Poincaré-Almansi inequality},
location = {Prague},
pages = {199-208},
publisher = {Institute of Mathematics CAS},
title = {Identification problem for nonlinear beam -- extension for different types of boundary conditions},
url = {http://eudml.org/doc/299028},
year = {2023},
}

TY - CLSWK
AU - Radová, Jana
AU - Machalová, Jitka
TI - Identification problem for nonlinear beam -- extension for different types of boundary conditions
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2023
CY - Prague
PB - Institute of Mathematics CAS
SP - 199
EP - 208
AB - Identification problem is a framework of mathematical problems dealing with the search for optimal values of the unknown coefficients of the considered model. Using experimentally measured data, the aim of this work is to determine the coefficients of the given differential equation. This paper deals with the extension of the continuous dependence results for the Gao beam identification problem with different types of boundary conditions by using appropriate analytical inequalities with a special attention given to the Wirtinger's inequality and its modification. On the basis of these results for the different types of the boundary conditions the existence theorem for the identification problem can be proven.
KW - identification problem; nonlinear Gao beam; Wirtinger's inequality; Wirtinger-Poincaré-Almansi inequality
UR - http://eudml.org/doc/299028
ER -