Geodesic
Analytic solution of transcendental equations
International Journal of Applied Mathematics and Computer Science, Tome 20 (2010) no. 4, pp. 671-677 Cet article a éte moissonné depuis la source Library of Science

Voir la notice de l'article

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.
Keywords: transcendental equations, zeros, extrema
Mots-clés : równanie przestępne, zera, ekstrema 
@article{IJAMCS_2010_20_4_a4,
     author = {G\'orecki, H.},
     title = {Analytic solution of transcendental equations},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {671--677},
     year = {2010},
     volume = {20},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2010_20_4_a4/}
}
TY  - JOUR
AU  - Górecki, H.
TI  - Analytic solution of transcendental equations
JO  - International Journal of Applied Mathematics and Computer Science
PY  - 2010
SP  - 671
EP  - 677
VL  - 20
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/IJAMCS_2010_20_4_a4/
LA  - en
ID  - IJAMCS_2010_20_4_a4
ER  - 
%0 Journal Article
%A Górecki, H.
%T Analytic solution of transcendental equations
%J International Journal of Applied Mathematics and Computer Science
%D 2010
%P 671-677
%V 20
%N 4
%U http://geodesic.mathdoc.fr/item/IJAMCS_2010_20_4_a4/
%G en
%F IJAMCS_2010_20_4_a4
Górecki, H. Analytic solution of transcendental equations. International Journal of Applied Mathematics and Computer Science, Tome 20 (2010) no. 4, pp. 671-677. http://geodesic.mathdoc.fr/item/IJAMCS_2010_20_4_a4/

[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.

[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.

[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.