Asymptotic properties of solutions of second-order difference equations

Jarosław Morchało

Archivum Mathematicum (2002)

  • Volume: 038, Issue: 1, page 15-26
  • ISSN: 0044-8753

Abstract

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Using the method of variation of constants, discrete inequalities and Tychonoff’s fixed-point theorem we study problem asymptotic equivalence of second order difference equations.

How to cite

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Morchało, Jarosław. "Asymptotic properties of solutions of second-order difference equations." Archivum Mathematicum 038.1 (2002): 15-26. <http://eudml.org/doc/248942>.

@article{Morchało2002,
abstract = {Using the method of variation of constants, discrete inequalities and Tychonoff’s fixed-point theorem we study problem asymptotic equivalence of second order difference equations.},
author = {Morchało, Jarosław},
journal = {Archivum Mathematicum},
keywords = {asymptotic equivalence; difference inequalities; asymptotic equivalence; difference inequalities},
language = {eng},
number = {1},
pages = {15-26},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic properties of solutions of second-order difference equations},
url = {http://eudml.org/doc/248942},
volume = {038},
year = {2002},
}

TY - JOUR
AU - Morchało, Jarosław
TI - Asymptotic properties of solutions of second-order difference equations
JO - Archivum Mathematicum
PY - 2002
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 038
IS - 1
SP - 15
EP - 26
AB - Using the method of variation of constants, discrete inequalities and Tychonoff’s fixed-point theorem we study problem asymptotic equivalence of second order difference equations.
LA - eng
KW - asymptotic equivalence; difference inequalities; asymptotic equivalence; difference inequalities
UR - http://eudml.org/doc/248942
ER -

References

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  6. Asymptotic equivalence of second-order difference equations, J. Math. Anal. Appl. 238 (1999), 91–100. MR1711480
  7. Relationship among the solutions of two systems or ordinary differential equation, Michigan Math. J. 10 (1963), 129–139. MR0165192
  8. Asymptotic relationships between the solutions of two systems of differential equations, Ann. Polon. Math. 30 (1974), 119–124. MR0355217
  9. Asymptotic relationship between solutions of two systems of differential equations, Czechoslovak Math. J. 24 (99), No. 1 (1974), 44–58. Zbl0322.34037MR0348202
  10. Asymptotic behaviour of perturbed difference equations, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Ser. VIIILXIV (1979), 563–571. Zbl0441.39006MR0561940
  11. Asymptotic equivalence of second order differential equations, Czechoslovak Math. J. 34 (109) (1984), 189–201. Zbl0555.34048MR0743485

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