DIRICHLET BOUNDARY VALUE PROBLEM FOR AN IMPULSIVE FORCED PENDULUM EQUATION WITH VISCOUS AND DRY ...

@article{6994,
   author = {Pavlačková, Martina and Ženčák, Pavel},
   article_location = {PRAHA 1},
   article_number = {1},
   doi = {http://dx.doi.org/10.21136/AM.2020.0232-19},
   keywords = {impulsive Dirichlet problem; Kakutani-Ky Fan fixed-point theorem; pendulum equation; dry friction},
   language = {eng},
   issn = {0862-7940},
   journal = {Applications of Mathematics},
   title = {DIRICHLET BOUNDARY VALUE PROBLEM FOR AN IMPULSIVE FORCED PENDULUM EQUATION WITH VISCOUS AND DRY FRICTIONS},
   url = {https://www.springer.com/journal/10492},
   volume = {66},
   year = {2020}
}

TY  - JOUR
ID  - 6994
AU  - Pavlačková, Martina - Ženčák, Pavel
PY  - 2020
TI  - DIRICHLET BOUNDARY VALUE PROBLEM FOR AN IMPULSIVE FORCED PENDULUM EQUATION WITH VISCOUS AND DRY FRICTIONS
JF  - Applications of Mathematics
VL  - 66
IS  - 1
SP  - 57-68
EP  - 57-68
PB  - ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS
SN  - 08627940
KW  - impulsive Dirichlet problem
KW  - Kakutani-Ky Fan fixed-point theorem
KW  - pendulum equation
KW  - dry friction
UR  - https://www.springer.com/journal/10492
N2  - 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.
ER  - 

PAVLAČKOVÁ, Martina a Pavel ŽENČÁK. DIRICHLET BOUNDARY VALUE PROBLEM FOR AN IMPULSIVE FORCED PENDULUM EQUATION WITH VISCOUS AND DRY FRICTIONS. \textit{Applications of Mathematics}. PRAHA 1: ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS, 2020, roč.~66, č.~1, s.~57-68. ISSN~0862-7940. Dostupné z: https://dx.doi.org/10.21136/AM.2020.0232-19.