On the existence and boundedness of solutions of a nonlinear delay differential system

Ján Futák

Archivum Mathematicum (1978)

  • Volume: 014, Issue: 1, page 13-20
  • ISSN: 0044-8753

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Futák, Ján. "On the existence and boundedness of solutions of a nonlinear delay differential system." Archivum Mathematicum 014.1 (1978): 13-20. <http://eudml.org/doc/17961>.

@article{Futák1978,
author = {Futák, Ján},
journal = {Archivum Mathematicum},
keywords = {Schauder-Tychonoff Fixed Point Theorem; Boundedness of Solutions; Nonlinear Delay Differential System; Bihari Lemma; Existence of Solutions},
language = {eng},
number = {1},
pages = {13-20},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the existence and boundedness of solutions of a nonlinear delay differential system},
url = {http://eudml.org/doc/17961},
volume = {014},
year = {1978},
}

TY - JOUR
AU - Futák, Ján
TI - On the existence and boundedness of solutions of a nonlinear delay differential system
JO - Archivum Mathematicum
PY - 1978
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 014
IS - 1
SP - 13
EP - 20
LA - eng
KW - Schauder-Tychonoff Fixed Point Theorem; Boundedness of Solutions; Nonlinear Delay Differential System; Bihari Lemma; Existence of Solutions
UR - http://eudml.org/doc/17961
ER -

References

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  1. Futák Ј., Über die Beschränktheit und die Existenz der Lösungen der Differentialgleichung 4. Ordnung mit nacheilendem Argument, Acta Univ. Palac. Olomucensis, Fac. R. Nat. (to apper). 
  2. Futák Ј., An existence and boundedness of solutions of a nonlinear differential equation of the n-th order with delay, Práce a štúdie VŠD, č. 3, (to appear). 
  3. Futák Ј., On the existence of solutions of the n-th order nonlinear differential equation with delay, Časopis pro pěs. mat. (to appear). 
  4. Hallam T. G., Asymptotic relationships between the solutions of two second order dìfferential equations, Annal. Polonici Math., 24, 1971, p. 295-300. (1971) Zbl0217.40103MR0301316
  5. Marušiak P., Differenciaľnoje uravnenije s zapazdyvajusčim argumentom, asimptotičeski ekvivalentnoje s uravnenijem y ( n ) = 0 , Mat. časop. 23, 1973, No. L, p. 45-54. (1973) MR0346284
  6. Norkin S. B., Diferenciaľnyje uravnenija vtorovo porjadka s zapazdyvajuščim argumentom, Moskva 1965. (1965) 
  7. Ráb M., Bounds for solutions of the equation [ p ( t ) x ' ] ' + q ( t ) x = h ( t , x , x ' ) , Arch. Math. 2. 9, 1975, p. 79-84. (1975) MR0412520

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