The asymptotic properties of solutions of linear delay differential equations
Mathematica Slovaca (2006)
- Volume: 56, Issue: 3, page 349-360
- ISSN: 0139-9918
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topKundrát, Petr. "The asymptotic properties of solutions of linear delay differential equations." Mathematica Slovaca 56.3 (2006): 349-360. <http://eudml.org/doc/31789>.
@article{Kundrát2006,
author = {Kundrát, Petr},
journal = {Mathematica Slovaca},
keywords = {linear differential equations with delay; asymptotic properties of solutions; estimates},
language = {eng},
number = {3},
pages = {349-360},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The asymptotic properties of solutions of linear delay differential equations},
url = {http://eudml.org/doc/31789},
volume = {56},
year = {2006},
}
TY - JOUR
AU - Kundrát, Petr
TI - The asymptotic properties of solutions of linear delay differential equations
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 3
SP - 349
EP - 360
LA - eng
KW - linear differential equations with delay; asymptotic properties of solutions; estimates
UR - http://eudml.org/doc/31789
ER -
References
top- ATKINSON F. V.-HADDOCK J. R., Criteria for asymptotic constancy of solutions of functional differential equations, J. Math. Anal. Appl. 91 (1983), 410-423. (1983) Zbl0529.34065MR0690880
- BERETOGLU H.-PITUK M., Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays, Discrete Contin. Dуn. Sуst. (A Suppl. Vol. for the Wilmington Meeting 2002) (2003), 100-107. MR2018105
- ČERMÁK J., Asymptotic behaviour of solutions of some differential equations with an unbounded delay, In: Electron. J. Qual. Theorу Differ. Equ. 2000, Suppl. Proc. бth Colloq. QTDE 2, 2000, pp. 1-8. MR1798652
- ČERMÁK J., A change of variables in the asymptotic theory of differential equations with unbounded delays, J. Comput. Appl. Math. 143 (2002), 81-93. Zbl1016.34077MR1907784
- CERMÁK J.-KUNDRÁT P., Linear differential equations with unbounded delays and a forcing term, Abstr. Appl. Anal. 4 (2004), 337-345. Zbl1104.34053MR2064145
- DIBLÍK J., Asymptotic representation of solutions of equation , J. Math. Anal. Appl. 217 (1998), 200-215. (1998) MR1492085
- KATO T.-MCLEOD J. B., The functional differential equation , Bull. Amer. Math. Soc. 77 (1971), 891-937. (1971) MR0283338
- KRISZTIN T., A note on the convergence of the solutions of a linear functional-differential equation, J. Math. Anal. Appl. 145 (1990), 17-25. (1990) Zbl0693.45012MR1031171
- KUNDRÁT P., On asymptotic properties of solutions of the difference equation , In: Proceedings of ICDEA Conference 2003, Brno Proceedings of the 8th International Conference on Difference Equations and Applications (ICDEA 2003), Masaryk University Brno, Czech Republic, July 28-August 1, 2003. (S. Elaydi et al., eds.), Chapman & Hall/CRC, Boca Raton, FL, 2005, pp. 193-200. MR2144840
- LIM E. B., Asymptotic bounds of solutions of the functional differential equation , , SIAM J. Math. Anal. 9 (1978), 915-920. (1978) MR0506772
- PITUK M., On the limits of solutions of functional differential equations, Math. Bohem. 118 (1993), 53-66. (1993) Zbl0778.34056MR1213833
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