# 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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