Time-periodic solutions of telegraph equations in n spatial variables

Hana Petzeltová; Milan Štědrý

Časopis pro pěstování matematiky (1984)

  • Volume: 109, Issue: 1, page 60-73
  • ISSN: 0528-2195

How to cite

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Petzeltová, Hana, and Štědrý, Milan. "Time-periodic solutions of telegraph equations in $n$ spatial variables." Časopis pro pěstování matematiky 109.1 (1984): 60-73. <http://eudml.org/doc/21562>.

@article{Petzeltová1984,
author = {Petzeltová, Hana, Štědrý, Milan},
journal = {Časopis pro pěstování matematiky},
keywords = {telegraph equations; existence; periodic solutions},
language = {eng},
number = {1},
pages = {60-73},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Time-periodic solutions of telegraph equations in $n$ spatial variables},
url = {http://eudml.org/doc/21562},
volume = {109},
year = {1984},
}

TY - JOUR
AU - Petzeltová, Hana
AU - Štědrý, Milan
TI - Time-periodic solutions of telegraph equations in $n$ spatial variables
JO - Časopis pro pěstování matematiky
PY - 1984
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 109
IS - 1
SP - 60
EP - 73
LA - eng
KW - telegraph equations; existence; periodic solutions
UR - http://eudml.org/doc/21562
ER -

References

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  1. J. Moser, A new technique for the construction of solutions of nonlinear differential equations, Proc. Nat. Acad. Sc. U.S.A. 47 (1961), 1824-1831. (1961) Zbl0104.30503MR0132859
  2. J. Moser, A rapidly convergent iteration method and nonlinear partial differential equations I, II, Ann. Scuola Norm. Sup. Pisa Ser. III. 20 (1966), 265-315, 499-535. (1966) 
  3. P. H. Rabinowitz, Periodic solutions of nonlinear hyperbolic partial differential equations II, Comm. Pure Appl. Math. 22 (1969), 15-39. (1969) Zbl0157.17301MR0236504
  4. S. Agmon, Lectures on Elliptic Boundary Value Problems, Van Nostrand, 1965. (1965) Zbl0142.37401MR0178246
  5. M. Štedrý, Periodic solutions of nonlinear equations of a beam with damping, (Czech.) Thesis, Math. Inst. Czechoslovak Acad. Sci., Prague 1973. (1973) 
  6. H. Petzeltová, Application of Moser's method to a certain type of evolution equations, Czechoslovak Math. J. 33(108) (1983), 427-434. (1983) Zbl0547.35081MR0718925

Citations in EuDML Documents

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  1. Eduard Feireisl, Bounded, almost-periodic, and periodic solutions to fully nonlinear telegraph equations
  2. Eduard Feireisl, Time-periodic solutions of a quasilinear beam equation via accelerated convergence methods
  3. Milan Stedry, Small time periodic solutions of fully nonlinear telegraph equations in more spatial dimensions
  4. Eduard Feireisl, Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations
  5. Eduard Feireisl, Global in time solutions to quasilinear telegraph equations involving operators with time delay

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