PAVLAČKOVÁ, Martina and Pavel ŽENČÁK. DIRICHLET BOUNDARY VALUE PROBLEM FOR AN IMPULSIVE FORCED PENDULUM EQUATION WITH VISCOUS AND DRY FRICTIONS. Applications of Mathematics. PRAHA 1: ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS, 2020, vol. 66, No 1, p. 57-68. ISSN 0862-7940. Available from: https://dx.doi.org/10.21136/AM.2020.0232-19.
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Basic 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
Original language English
Type of outcome Article in a journal
Field of Study 10102 Applied mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/26867184:_____/20:N0000028
Organization unit Moravian Business College Olomouc
Doi http://dx.doi.org/10.21136/AM.2020.0232-19
UT WoS 000584991300001
Keywords in English impulsive Dirichlet problem; Kakutani-Ky Fan fixed-point theorem; pendulum equation; dry friction
Tags RIV20
Changed by Changed by: Ing. Michaela Nováková, učo 5293. Changed: 25/2/2021 13:51.
Abstract
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.
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