In this paper, we present a new algorithm for the exact solutions of linear systems with integer coefficients using numerical methods. It terminates with the correct answer in wel...
If and are nonnegative integers and F is a field, then a polynomial collection {p1, . . . , p} Z[1, . . . , ] is said to be solvable over F if there exist 1, . . . , F such t...
Randall Dougherty, Christopher F. Freiling, Kennet...
In this paper, we investigate the global attractivity of negative solutions of the nonlinear difference equation xn+1 = 1 - xn-k A + xn , n = 0, 1, . . . , where A (-, 0), k is a...
A linear equation L is called k-regular if every k-coloring of the positive integers contains a monochromatic solution to L. Richard Rado conjectured that for every positive intege...
We study the limit as n 0 of the nonnegative, self-similar source-type solutions of the thin film equation ut + (unuxxx)x = 0. We obtain a unique limiting function u, which is a s...