Daniel C. Biles

An application of time scales to economics

Ferhan M. Atıcı, Daniel C. Biles, Alex Lebedinsky · Mathematical and Computer Modelling · 2006 · 278 citations

Econophysics, Mathematical Economics, Economics +7

First order dynamic inclusions on time scales

Daniel C. Biles · Journal of Mathematical Analysis and Applications · 2004 · 38 citations

Temporal Dynamic, Discrete Dynamical System, Order Dynamic Inclusions +1

A generalization of the Lane–Emden equation

Daniel C. Biles, Mark P. Robinson, John S. Spraker · Journal of Mathematical Analysis and Applications · 2002 · 32 citations

Monge-ampere Equation, Lane–emden Equation, Integrable System

On Carathéodory’s conditions for the initial value problem

Daniel C. Biles, Paul Binding · Proceedings of the American Mathematical Society · 1997 · 20 citations · Full text

Initial Value Problem, “Downward Discontinuities.”, Local Existence Theorem +3

Existence of solutions for discontinuous differential equations

Daniel C. Biles · Differential and Integral Equations · 1995 · 20 citations · Full text

Carathéodory Solutions, Weak Conditions, Discontinuity +4