Continuous Dependence of the Singular Nonlinear Van der Pol Equation Solutions with Respect to the Boundary Conditions: Elements of p-regularity Theory
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09849-0
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… read more here.
Keywords: van der; pol equation; solutions respect; equation solutions ... See more keywords
Ultradiscrete analogue of the van der Pol equation
Sign Up to like & getrecommendations! Published in 2022 at "Nonlinearity"
DOI: 10.1088/1361-6544/ac4a8c
Abstract: Ultradiscretization with parity variables (pUD) is a method of constructing a conditional piecewise linear equation which approximates a given difference equation. Its application is not limited to subtraction-free equation, being different from the traditional ultradiscretization.… read more here.
Keywords: der pol; equation; pol equation; van der ... See more keywords