3 papers
math.CA2020
Dynamically Consistent Approximate Rational Solutions to the Thomas-Fermi Equation
Ronald E. Mickens, Isom H. Herron
We construct two rational approximate solutions to the Thomas-Fermi (TF) nonlinear differential equation. These expressions follow from an application of the principle of dynamic c…
math.AP2020
A note on exponential-type solutions for the linear, delayed heat partial differential equation
Isom H. Herron, Ronald E. Mickens
We construct a class of exponential type solutions for the linear, delayed heat equation. These representations may be used to provide a priori ansatzes for certain boundary and/or…
math.DS2017
The Imani Periodic Functions: Genesis and Preliminary Results
Ronald E. Mickens
The Leah-Hamiltonian, , is introduced as a functional equation for and . By means of a nonlinear transformation to new independent variables,…