More than a century before quantum mechanics was born, Irish mathematician William Rowan Hamilton stumbled onto an idea that would quietly foreshadow one of the deepest truths in physics. While ...

This course provides an introduction to topics involving ordinary differential equations. Emphasis is placed on the development of abstract concepts and applications for first-order and linear ...

IT is quite refreshing to see a new book on differential equations, and this introduction to the subject has been planned with skill and developed with a clear appreciation of the difficulties which ...

ABSTRACT: This paper investigates the relative controllability problem of semilinear stochastic integro-differential systems with a variable delay in control. Under suitable conditions, it is shown ...

MR MURRAY'S book is adapted to provide for students that knowledge of the subject of differential equations which they are likely to want in applications of mathematics to physics, and in the general ...

ABSTRACT: In this paper, we study the solutions for variable-order time-fractional diffusion equations. A three-point combined compact difference (CCD) method is used to discretize the spatial ...

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Abstract: Theoretical and numerical results for the three-parameter three-dimensional family of ordinary differential equations known as the Lorenz equations are surveyed. Particular emphasis is laid ...

We demonstrate that a neural network automatically solves, explains, and generates university-level problems from the largest Massachusetts Institute of Technology (MIT) mathematics courses at a human ...