Detailed Information on Publication Record
2020
DIRICHLET BOUNDARY VALUE PROBLEM FOR AN IMPULSIVE FORCED PENDULUM EQUATION WITH VISCOUS AND DRY FRICTIONS
PAVLAČKOVÁ, Martina and Pavel ŽENČÁKBasic information
Original name
DIRICHLET BOUNDARY VALUE PROBLEM FOR AN IMPULSIVE FORCED PENDULUM EQUATION WITH VISCOUS AND DRY FRICTIONS
Authors
PAVLAČKOVÁ, Martina (203 Czech Republic, belonging to the institution) and Pavel ŽENČÁK (203 Czech Republic)
Edition
Applications of Mathematics, PRAHA 1, ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS, 2020, 0862-7940
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10102 Applied mathematics
Country of publisher
Czech Republic
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
RIV identification code
RIV/26867184:_____/20:N0000028
Organization unit
Moravian Business College Olomouc
UT WoS
000584991300001
Keywords in English
impulsive Dirichlet problem; Kakutani-Ky Fan fixed-point theorem; pendulum equation; dry friction
Tags
Změněno: 25/2/2021 13:51, Ing. Michaela Nováková
Abstract
V originále
Sufficient conditions are given for the solvability of an impulsive Dirichlet boundary value problem to forced nonlinear differential equations involving the combination of viscous and dry frictions. Apart from the solvability, also the explicit estimates of solutions and their derivatives are obtained. As an application, an illustrative example is given, and the corresponding numerical solution is obtained by applying Matlab software.