Some results on the asymptotic behaviour of the equation with a complex-valued function
Archivum Mathematicum (1985)
- Volume: 021, Issue: 4, page 195-199
- ISSN: 0044-8753
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topKalas, Josef. "Some results on the asymptotic behaviour of the equation $\dot{z}=f(t,z)$ with a complex-valued function $f$." Archivum Mathematicum 021.4 (1985): 195-199. <http://eudml.org/doc/18170>.
@article{Kalas1985,
author = {Kalas, Josef},
journal = {Archivum Mathematicum},
keywords = {singular point; first order differential equation; Lyapunov function method; example},
language = {eng},
number = {4},
pages = {195-199},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some results on the asymptotic behaviour of the equation $\dot\{z\}=f(t,z)$ with a complex-valued function $f$},
url = {http://eudml.org/doc/18170},
volume = {021},
year = {1985},
}
TY - JOUR
AU - Kalas, Josef
TI - Some results on the asymptotic behaviour of the equation $\dot{z}=f(t,z)$ with a complex-valued function $f$
JO - Archivum Mathematicum
PY - 1985
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 021
IS - 4
SP - 195
EP - 199
LA - eng
KW - singular point; first order differential equation; Lyapunov function method; example
UR - http://eudml.org/doc/18170
ER -
References
top- Z. Tеsаřová, The Riccati differential equation with complex-valued coefficients and application to the equation x" + P(t)x' + Q(t)x = 0, Arcһ. Mаth. (Brno) 18 (1982), 133-143. (1982) MR0682101
- J. Kаlаs, On a “Liapunov-like” function for an equation with a complex-valued function f, Arch. Mаth. (Brno) 18 (1982), 65-76. (1982) MR0683347
- J. Kаlаs, Asymptotic nature of solutions of the equation ż =f(t, z) with a complex-valued function f, Arch. Mаth. (Brno) 20 (1984), 83-94. (1984) MR0784859
- C. Kulig, On a system of differential equations, Zеszyty Nаukowе Univ. Jаgiеllońskiеgo, Рrаcе Mаt., Zеszyt 9, 77 (1963), 37-48. (1963) Zbl0267.34029MR0204763
- M. Ráb, Geometrical approach to the study of the Riccati differential equation with complex-valued coefficients, J. Diff. Equаtions 25 (1977), 108-114. (1977) MR0492454
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