A NEW WAY TO FIND THE CONTROLLING FACTOR OF THE SOLUTION TO A DIFFERENCE EQUATION

  • Park, Seh-Ie (Department of Mathematics Seoul National University)
  • Published : 1999.09.01

Abstract

In this paper, we will study the relationship between the controlling factor of the solution to a difference equation and the solution of the corresponding differential equation. Many times the controlling factors are the same. But even the controlling factor of the two solutions may be different, we will discover a way to compute, for first order non-linear equations, the controlling factor of the solution to the difference equation using the solution of the differential equation.

Keywords

References

  1. Complex Analysis L. V. Ahlfors
  2. Advanced Mathematical Methods for Scientists and Engineers C. M. Bender;S. A. Orszang
  3. Elementary Differential Equations(fifth ed.) W. E. Boyce;R. C. DiPrima
  4. Lecture Notes in Mathematics Asymptotics of Analytic Difference Equations G. K. Immink
  5. Principles of Applied Mathmatics, Transformation and Approximation J. P. Keener
  6. Acta Mathematica v.100 Regular Iteration of Real and Complex Functions G. Szekeres
  7. Asymptotic Expansions for Ordinary Differential Equations W. Wasow