Geodesic
Dirichlet boundary value problem for an impulsive forced pendulum equation with viscous and dry frictions
Applications of Mathematics, Tome 66 (2021) no. 1, pp. 57-68.

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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.
DOI : 10.21136/AM.2020.0232-19
Classification : 34A60, 34B15
Keywords: impulsive Dirichlet problem; Kakutani-Ky Fan fixed-point theorem; pendulum equation; dry friction 
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Pavlačková, Martina; Ženčák, Pavel. Dirichlet boundary value problem for an impulsive forced pendulum equation with viscous and dry frictions. Applications of Mathematics, Tome 66 (2021) no. 1, pp. 57-68. doi : 10.21136/AM.2020.0232-19. http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0232-19/

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