This collection of counter-examples highlights the theory of differential equations and related topics which is now playing an enormously important role in the area of science, engineering and ...

A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...

Abstract: In this article, we consider a linear-quadratic optimal control problem of mean-field stochastic differential equation with jump diffusion, which is also called as an mean-field ...

Abstract: Neural differential equations are a promising new member in the neural network family. They show the potential of differential equations for time-series data analysis. In this paper, the ...

Odyssey Math Tuition, a tuition agency in Singapore, has launched a dedicated JC 1 math tuition elearning course to support ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n ...

Faculty of Science, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China Research Center for Mathematics and Interdisciplinary Sciences, Kunming University of Science and ...

Google has been quietly improving Bard and adding new features every few weeks, bringing its capabilities up to par with ChatGPT. Now, the company has added the ability to upload images to Bard for a ...

The graphs above, \(y = 2x + 1\) and \(y = 2x - 2\) have the same gradient of 2. The lines are parallel. State the equation of a line that is parallel to \(y = 3x + 7\). To be parallel, two lines must ...

In this course you will get an introduction to robotics. You will learn about the mechanical structure of robots, the spatial description of the robots and transformations. The course also deals with ...