Abstract New oscillation criteria for the first order differential equation \[ x\prime (t) + p(t)x(\tau(t)) = 0 \] are established. An extension of the results to inequalities and applications to n ...

Planar Linear First-Order Homogeneous Differential Equations; Some Concepts for Qualitative Study; Matrix Exponentials and Reduction to Canonical Forms; Topological Equivalence in Planar Linear ...

State feed-back compensators and observer-controller compensators are designed for switching regulators whose dynamic response can be approximated by sets of first-order linear differential equations.

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Python Implementation of Ordinary Differential Equations Solvers using Hybrid Physics-informed Neural Networks. This repository is provided as a tutorial for the implementation of integration ...

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Differential Equations 248 12.1. Fundamentals 248 12.2. First-Order Differential Equation with Variables Separable. Orthogonal Trajectories 250 12.3. First-Order Differential Equations: (I) ...

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We introduce a state-interaction approach for computing g-matrices within time-dependent density functional theory (TDDFT) and the Tamm–Dancoff approximation (TDA), applied here for the first time.