Nonlinear Differential Equations: Equations that relate a function to its derivatives, where the relationship is not a straight line (linear). Periodic Solutions: Solutions to differential ...

For instance, one study explored a first-order iterative functional differential equation and applied Schauder’s fixed point theorem to demonstrate the existence of positive periodic solutions.

Course on using spectral methods to solve partial differential equations. We will cover the exponential convergence of spectral methods for periodic and non-periodic problem, and a general framework ...

Abstract: We study two systems of nonlinearly coupled ordinary differential equations that govern the vertical and torsional motions of a cross‐section of a suspension bridge. We observe numerically ...

Linear Differential Equations,Linear Matrix Inequalities,Linear System,Lyapunov–Krasovskii Functional,Multiple Delays,Neural Network Classifier,Nonlinear Elastic Foundation,Periodic Fluctuations, ...

This module implements the Physics Informed Neural Network (PINN) model for the 1D Korteweg-De Vries equation. The KdV equation is given by (d/dt + d^3u/dx^3 + u du/dt) = 0. It has an initial ...