Methods and Applications of Analysis

Volume 10 (2003)

Number 1

Miscellaneous Dynamic Equations

Pages: 11 – 30

DOI: http://dx.doi.org/10.4310/MAA.2003.v10.n1.a2

Authors

Elvan Akin-Bohner

Martin Bohner

Abstract

We consider several dynamic equations and present methods on how to solve these equations. Among them are linear equations of higher order, Euler-Cauchy equations of higher order, logistic equations (or Verhulst equations), Bernoulli equations, Riccati equations, and Clairaut equations. In order to solve Bernoulli dynamic equations, we define an important product on the set of positively regressive functions and give a power rule in terms of this product.

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