Methods and Applications of Analysis

Miscellaneous Dynamic Equations

Elvan Akin-Bohner and 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.

Article information

Source
Methods Appl. Anal., Volume 10, Number 1 (2003), 011-030.

Dates
First available in Project Euclid: 16 June 2005

Permanent link to this document
https://projecteuclid.org/euclid.maa/1118943100

Mathematical Reviews number (MathSciNet)
MR2014160

Zentralblatt MATH identifier
1076.39001

Citation

Akin-Bohner, Elvan; Bohner, Martin. Miscellaneous Dynamic Equations. Methods Appl. Anal. 10 (2003), no. 1, 011--030. https://projecteuclid.org/euclid.maa/1118943100


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