Continuous Dependence of the Singular Nonlinear Van der Pol Equation Solutions with Respect to the Boundary Conditions: Elements of p-regularity Theory
Open Access
- 9 May 2020
- journal article
- research article
- Published by Springer Nature in Journal of Dynamics and Differential Equations
- Vol. 33 (2) , 1087-1107
Abstract
This paper studies the problem of the continuous dependence of Van der Pol equation solutions with respect to the boundary conditions. We provide a new approach for the existence of such solutions via p-regularity theory. Several existence theorems about continuous solutions are established.Keywords
Funding Information
- Российский Фонд Фундаментальных Исследований (project No. 17-07-00510, 17-07-00493)
- Russian Academy of Sciences (Presidium Programme 27)
- Ministerstwo Nauki i Szkolnictwa Wyższego (Research theme No. 165/00/S, Research theme No. 165/00/S)
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