TITLE:
Theoretically Expected Phase Portrait of an Initial Value Problem with Periodic Piecewise Continuous Functions
AUTHORS:
Hugo Ramón Olmedo Mareco
KEYWORDS:
Ordinary Linear Nonhomogeneous Differential Equation, One-Sided Limits
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.13 No.3,
November
27,
2024
ABSTRACT: This work predicts theoretically the phase portrait including the existence and uniqueness of ω-limit cycle for an initial value problem
y(
0
)=
y
0
with an ordinary differential equation
y
′
+py=f
in which p and f are L-periodic piecewise continuous functions.