The team wanted to examine differential equations from a different perspective. To do so, the researchers left the field of analysis and turned instead to algebra.

The advantage of such systems is that because they use EM waves, computing can take place literally at light speeds within the processors. Systems of this type have previously been used to solve ...

The Gauss-Bonnet formula is a beautiful equation in differential geometry that asserts the equality of the integral of the Gauss curvature over a surface and a constant multiplied by the Euler ...

The need to investigate functional differential equations with discontinuous delays is addressed in this book. Recording the work and findings of several scientists on differential equations with ...

More than 300 years ago, Isaac Newton wrote down his foundational laws of motion, and mathematicians have been working on solutions to the three-body problem pretty much ever since. There is no ...

The object of this book is to present in an elementary manner, in English, an introduction to Lie's theory of one-parameter groups, with special reference to its application to the solution of ...

Analytic solutions are optional, but very helpful, so if you know an analytic solution please include it. Downstream packages must check whether analytic solutions are present in a system before using ...

The method is based on a matrix fractional transformation, which is more general than existing ones, for linearizing the differential Riccati equation. A numerical example is presented to compare the ...

We propose a new symmetry reduction method for (1+1)-dimensional differential-difference equations (DDEs), namely, the λ -symmetry reduction method of solving ordinary differential equations is ...