Property (A) of the n -th order differential equations with deviating argument

Vincent Šoltés

Archivum Mathematicum (1995)

  • Volume: 031, Issue: 1, page 59-63
  • ISSN: 0044-8753

Abstract

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The equation to be considered is L n y ( t ) + p ( t ) y ( τ ( t ) ) = 0 . The aim of this paper is to derive sufficient conditions for property (A) of this equation.

How to cite

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Šoltés, Vincent. "Property (A) of the $n$-th order differential equations with deviating argument." Archivum Mathematicum 031.1 (1995): 59-63. <http://eudml.org/doc/247693>.

@article{Šoltés1995,
abstract = {The equation to be considered is \[ L\_ny(t)+p(t)y(\tau (t))=0. \] The aim of this paper is to derive sufficient conditions for property (A) of this equation.},
author = {Šoltés, Vincent},
journal = {Archivum Mathematicum},
keywords = {property (A); degree of solution; nonoscillatory solutions; property (A)},
language = {eng},
number = {1},
pages = {59-63},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Property (A) of the $n$-th order differential equations with deviating argument},
url = {http://eudml.org/doc/247693},
volume = {031},
year = {1995},
}

TY - JOUR
AU - Šoltés, Vincent
TI - Property (A) of the $n$-th order differential equations with deviating argument
JO - Archivum Mathematicum
PY - 1995
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 031
IS - 1
SP - 59
EP - 63
AB - The equation to be considered is \[ L_ny(t)+p(t)y(\tau (t))=0. \] The aim of this paper is to derive sufficient conditions for property (A) of this equation.
LA - eng
KW - property (A); degree of solution; nonoscillatory solutions; property (A)
UR - http://eudml.org/doc/247693
ER -

References

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  1. Comparison theorems for nonlinear ODE’s., Math. Slovaca 42 (1992), 299–315. (1992) MR1182960
  2. Property (A) of third-order differential equations with deviating argument, Math. Slovaca 44 (1994). (1994) MR1281030
  3. Nonoscillatory solutions of higher order differential equations, J. Math. Anal. Appl. 71 (1979), 1–17. (1979) MR0545858
  4. On the oscillation of solutions of the equation d m u / d t m + a ( t ) | u | n s i g n u = 0 , Mat. Sb 65 (1964), 172–187. (Russian) (1964) Zbl0135.14302MR0173060
  5. Comparison theorems for functional differential equations with deviating arguments, J. Math. Soc. Japan 3 (1981), 509–532. (1981) MR0620288
  6. On strong oscillation of retarded differential equations, Hiroshima Math. J. 11 (1981), 553–560. (1981) Zbl0512.34056MR0635038
  7. Nonoscillatory solutions of differential equations with deviating argument, Czech. Math. J. 36 (1986), 93–107. (1986) MR0822871
  8. Oscillation theorems for third order nonlinear differential equations, Math. Slovaca 42 (1992), 471–484. (1992) MR1195041

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