Asymptotic equivalence of second order differential equations

Jaromír Kuben

Czechoslovak Mathematical Journal (1984)

  • Volume: 34, Issue: 2, page 189-202
  • ISSN: 0011-4642

How to cite

top

Kuben, Jaromír. "Asymptotic equivalence of second order differential equations." Czechoslovak Mathematical Journal 34.2 (1984): 189-202. <http://eudml.org/doc/13443>.

@article{Kuben1984,
author = {Kuben, Jaromír},
journal = {Czechoslovak Mathematical Journal},
keywords = {asymptotic equivalence; nonoscillatory equation},
language = {eng},
number = {2},
pages = {189-202},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Asymptotic equivalence of second order differential equations},
url = {http://eudml.org/doc/13443},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Kuben, Jaromír
TI - Asymptotic equivalence of second order differential equations
JO - Czechoslovak Mathematical Journal
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 2
SP - 189
EP - 202
LA - eng
KW - asymptotic equivalence; nonoscillatory equation
UR - http://eudml.org/doc/13443
ER -

References

top
  1. Wintner A., 10.2307/2371956, Am. J. Math. 67 (1945), 417-430. (1945) Zbl0063.08285MR0013178DOI10.2307/2371956
  2. Levinson N., 10.2307/2371734, Am. J. Math. 68 (1946), 1-6. (1946) MR0015181DOI10.2307/2371734
  3. Weyl H., 10.2307/2371735, Am. J. Math. 68 (1946), 7-12. (1946) Zbl0061.19707MR0015182DOI10.2307/2371735
  4. Wintner A., 10.2307/2371831, Am. J. Math. 68 (1946), 185-213. (1946) MR0016813DOI10.2307/2371831
  5. Jakubovič V. A., On asymptotic behaviour of solutions of a system of differential equations, (Russian), Mat. Sbornik, T 28 (70), 1951, 217-240. (1951) MR0039874
  6. Brauer F., Asymptotic equivalence and asymptotic behavior of linear systems, Michigan J. Math. P (1962), 33-43. (1962) MR0133498
  7. Onuchic N., 10.1307/mmj/1028998863, Michigan J. Math. 10 (1963), 129-139. (1963) MR0165192DOI10.1307/mmj/1028998863
  8. Onuchic N., 10.1307/mmj/1028999136, Michigan J. Math. 11 (1964), 237-242. (1964) Zbl0126.30003MR0167692DOI10.1307/mmj/1028999136
  9. Kato J., The asymptotic relations of two systems of ordinary differential equations, Contr. Diff. Eqs. i(1964), 141-161. (1964) Zbl0137.28101MR0163006
  10. Brauer F., 10.1090/S0002-9939-1964-0166452-8, Proc. Am. Math. Soc. 15 (1964), 758-765. (1964) Zbl0126.30004MR0166452DOI10.1090/S0002-9939-1964-0166452-8
  11. Onuchic N., 10.1016/0022-0396(67)90005-8, J. Diff. Eq. 3 (1967), 47-58. (1967) MR0203150DOI10.1016/0022-0396(67)90005-8
  12. Brauer F., Wong, 10.1016/0022-0396(69)90008-4, J. Diff. Eq. 6 (1969), 527-543. (1969) MR0252765DOI10.1016/0022-0396(69)90008-4
  13. Brauer F., Wong, 10.1016/0022-0396(69)90122-3, J. Diff. Eq. 6 (1969), 142-153. (1969) Zbl0201.11703MR0239213DOI10.1016/0022-0396(69)90122-3
  14. Hallam T. G., 10.1307/mmj/1029000319, Michigan J. Math. 16 (1969), 353-363. (1969) MR0252766DOI10.1307/mmj/1029000319
  15. Hallam T. G., Onuchic N., Asymptotic relations between perturbed linear systems of ordinary differential equations, Рас. J. Math. 45 (1973), 187-199. (1973) Zbl0261.34039MR0316835
  16. Hallam T. G., 10.4064/ap-24-3-295-300, Ann. Polon. Math. 24 (1971), 295-300. (1971) Zbl0217.40103MR0301316DOI10.4064/ap-24-3-295-300
  17. Švec M., Asymptototic relationship between solutions of two systems of differential equations, Czech. Math. J. 24 (99), Nr. 1 (1974), 44-58. (1974) MR0348202
  18. Ráb M., 10.4064/ap-30-2-119-124, Ann. Polon. Math. 30 (1974), 119-124. (1974) MR0355217DOI10.4064/ap-30-2-119-124
  19. Kitamura Y., 10.32917/hmj/1206136334, Hiroshima Math. J. 6, No. 2 (1976), 403 - 420. (1976) Zbl0337.34045MR0412534DOI10.32917/hmj/1206136334
  20. Marlin Struble, 10.1016/0022-0396(69)90010-2, J. Diff. Eq. 6 (1969), 578- 596. (1969) MR0252768DOI10.1016/0022-0396(69)90010-2
  21. Hallam T. G., 10.1112/S0025579300002345, Mathematika 15 (1968), 30-38. (1968) MR0229917DOI10.1112/S0025579300002345
  22. Charlamov P. V., On estimates of solutions of a system of differential equations, (Russian), Ukrainskij mat. zurnal 7 (1955), 471-473. (1955) 
  23. Bihari I., 10.1007/BF02022967, Acta Math. Acad. Sci. Hungar 7 (1956), 71 - 94. (1956) MR0079154DOI10.1007/BF02022967
  24. Lakshmikantham V., Leela S., Differential and Integral Inequalities, Volume I. New York and London, Academic Press 1969. (1969) Zbl0177.12403
  25. Hartman P., Ordinary Differential Equations, New York-London-Sydney, John Wiley & Sons, Inc. 1964. (1964) Zbl0125.32102MR0171038

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.