2 papers
math.CA2024
Resonance and Periodic Solutions for Harmonic Oscillators with General Forcing
Isaac Benson, Justin T. Webster
We discuss the notion of resonance, as well as the existence and uniqueness of periodic solutions for a forced simple harmonic oscillator. While this topic is elementary, and well-…
math.AP2024
An Observation About Weak Solutions of Linear Differential Equations in Hilbert Spaces
Vittorino Pata, Justin T. Webster
In this note we propose a definition of weak solution for an abstract Cauchy problem in a Hilbert space, and we discuss existence and uniqueness results.