First and Second Order Linear Dynamic Equations on Time Scales
Abstract
We consider first and second order linear dynamic equations on a time scale. Such equations contain as special cases differential equations, difference equationsq— difference equations, and others. Important properties of the exponential function for a time scale are presented, and we use them to derive solutions of first and second order linear dyamic equations with constant coefficients. Wronskians are used to study equations with non—constant coefficients. We consider the reduction of order method as well as the method of variation of constants for the nonhomogeneous case. Finally, we use the exponential function to present solutions of the Euler—Cauchy dynamic equation on a time scale.
Recommended Citation
M. Bohner and A. Peterson, "First and Second Order Linear Dynamic Equations on Time Scales," Journal of Difference Equations and Applications, Taylor & Francis, Jan 2001.
The definitive version is available at https://doi.org/10.1080/10236190108808302
Department(s)
Mathematics and Statistics
Keywords and Phrases
time scales; Exponential function; Dynamic equations; cauchy-Euler equation
International Standard Serial Number (ISSN)
1023-6198
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2001 Taylor & Francis, All rights reserved.
Publication Date
01 Jan 2001
