This paper discusses a novel method of exact discretization obtaining an equivalent difference equation whose solution is equal to the solution of a differential equation at discrete periodic points.

Syllabus: The NTA has put the official JEE Main 2026 Syllabus online on their website: jeemain.nta.nic.in. If you're planning ...

Because boiler systems are inherently dangerous, safety must be factored into the design of not just the boiler but also the ...

Discover the existence of periodic solutions in neural networks with neutral delay. Explore realistic conditions using k-set contractive operator theorem and analysis techniques.

The investigation of these questions is still more important for impulsive differential equations which have a wider field of application than the ordinary ones. The results obtained by treating the ...

One day into summer break and I was sick of my four kids asking for snack after snack. My easy solution keeps them satisfied and saves money.

The Floquet theory for linear periodic differential equations pertains to equations with continuous right-hand side. In the present paper we generalize this theory to systems with discontinuous ...

Kostić and Velinov (2017) analyzed the existence and uniqueness of asymptotically Bloch type periodic solutions to an abstract fractional nonlinear differential inclusions with piecewise constant ...

We study the classical linear partial differential equations: Poisson's equation and the heat equation. We learn about representation formulas for solutions, maximum principles, and energy estimates.

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 ...