Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations
Applications of Mathematics (2004)
- Volume: 49, Issue: 3, page 269-284
- ISSN: 0862-7940
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topFischer, Alexander. "Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations." Applications of Mathematics 49.3 (2004): 269-284. <http://eudml.org/doc/33185>.
@article{Fischer2004,
abstract = {The present paper does not introduce a new approximation but it modifies a certain known method. This method for obtaining a periodic approximation of a periodic solution of a linear nonhomogeneous differential equation with periodic coefficients and periodic right-hand side is used in technical practice. However, the conditions ensuring the existence of a periodic solution may be violated and therefore the purpose of this paper is to modify the method in order that these conditions remain valid.},
author = {Fischer, Alexander},
journal = {Applications of Mathematics},
keywords = {oscillation problem; periodic differential equation; periodic solution; $\omega $-periodic solution; trigonometric polynomial; trigonometric approximation; Gram’s determinant; oscillation problem; periodic differential equation; periodic solution; -periodic solution; trigonometric polynomial},
language = {eng},
number = {3},
pages = {269-284},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations},
url = {http://eudml.org/doc/33185},
volume = {49},
year = {2004},
}
TY - JOUR
AU - Fischer, Alexander
TI - Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations
JO - Applications of Mathematics
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 3
SP - 269
EP - 284
AB - The present paper does not introduce a new approximation but it modifies a certain known method. This method for obtaining a periodic approximation of a periodic solution of a linear nonhomogeneous differential equation with periodic coefficients and periodic right-hand side is used in technical practice. However, the conditions ensuring the existence of a periodic solution may be violated and therefore the purpose of this paper is to modify the method in order that these conditions remain valid.
LA - eng
KW - oscillation problem; periodic differential equation; periodic solution; $\omega $-periodic solution; trigonometric polynomial; trigonometric approximation; Gram’s determinant; oscillation problem; periodic differential equation; periodic solution; -periodic solution; trigonometric polynomial
UR - http://eudml.org/doc/33185
ER -
References
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