Analytic solution of transcendental equations

Henryk Górecki

International Journal of Applied Mathematics and Computer Science (2010)

  • Volume: 20, Issue: 4, page 671-677
  • ISSN: 1641-876X

Abstract

top
A decomposition technique of the solution of an n-th order linear differential equation into a set of solutions of 2-nd order linear differential equations is presented.

How to cite

top

Henryk Górecki. "Analytic solution of transcendental equations." International Journal of Applied Mathematics and Computer Science 20.4 (2010): 671-677. <http://eudml.org/doc/208016>.

@article{HenrykGórecki2010,
abstract = {A decomposition technique of the solution of an n-th order linear differential equation into a set of solutions of 2-nd order linear differential equations is presented.},
author = {Henryk Górecki},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {transcendental equations; zeros; extrema; linear equation; higher order explicit solution},
language = {eng},
number = {4},
pages = {671-677},
title = {Analytic solution of transcendental equations},
url = {http://eudml.org/doc/208016},
volume = {20},
year = {2010},
}

TY - JOUR
AU - Henryk Górecki
TI - Analytic solution of transcendental equations
JO - International Journal of Applied Mathematics and Computer Science
PY - 2010
VL - 20
IS - 4
SP - 671
EP - 677
AB - A decomposition technique of the solution of an n-th order linear differential equation into a set of solutions of 2-nd order linear differential equations is presented.
LA - eng
KW - transcendental equations; zeros; extrema; linear equation; higher order explicit solution
UR - http://eudml.org/doc/208016
ER -

References

top
  1. Górecki, H. (2004). A new method for analytic determination of extremum of the transients in linear systems, Control and Cybernetics 33(2): 275-295. Zbl1167.93377
  2. Górecki, H. and Szymkat, M. (1983). Application of an elimination method to the study of the geometry of zeros of real polynomials, International Journal of Control 38(1): 1-26. Zbl0514.93033
  3. Górecki, H. and Turowicz, A. (1968). Determination of the dependence of the maximal deviation of the controlled quantity and the time of deviation on the parameters in linear control systems, Avtomatika i Telemekhanika (6): 179-181. 
  4. Górecki, H. (2009). A new method for analytic determination of extremum of the transients in linear systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 57(2): 153-155. 

NotesEmbed ?

top

You must be logged in to post comments.