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Theoretically Expected Phase Portrait of an Initial Value Problem with Periodic Piecewise Continuous Functions

DOI: 10.4236/ijmnta.2024.133003, PP. 29-44

Keywords: Ordinary Linear Nonhomogeneous Differential Equation, One-Sided Limits

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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.

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