Continuous Dependence of the Singular Nonlinear Van der Pol Equation Solutions with Respect to the Boundary Conditions: Elements of p-regularity Theory

Autor:	Beata Medak, Alexey A. Tret'yakov
Rok vydání:	2020
Předmět:	010101 applied mathematics Nonlinear system Van der Pol oscillator Partial differential equation Ordinary differential equation 010102 general mathematics Mathematical analysis Boundary value problem 0101 mathematics 01 natural sciences Analysis Mathematics
Zdroj:	Journal of Dynamics and Differential Equations. 33:1087-1107
ISSN:	1572-9222 1040-7294
DOI:	10.1007/s10884-020-09849-0
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6e42a3c121e44404c0b155a7af1bd51f https://doi.org/10.1007/s10884-020-09849-0 Zobrazit plný text záznamu Full text from SpringerLink