A Hille-Wintner comparison theorem for second order differential systems

Garret J. Etgen; Roger T. Lewis

Czechoslovak Mathematical Journal (1980)

  • Volume: 30, Issue: 1, page 98-107
  • ISSN: 0011-4642

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Etgen, Garret J., and Lewis, Roger T.. "A Hille-Wintner comparison theorem for second order differential systems." Czechoslovak Mathematical Journal 30.1 (1980): 98-107. <http://eudml.org/doc/13180>.

@article{Etgen1980,
author = {Etgen, Garret J., Lewis, Roger T.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Hille-Wintner comparison; second order differential systems; non- oscillatoricity},
language = {eng},
number = {1},
pages = {98-107},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A Hille-Wintner comparison theorem for second order differential systems},
url = {http://eudml.org/doc/13180},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Etgen, Garret J.
AU - Lewis, Roger T.
TI - A Hille-Wintner comparison theorem for second order differential systems
JO - Czechoslovak Mathematical Journal
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 1
SP - 98
EP - 107
LA - eng
KW - Hille-Wintner comparison; second order differential systems; non- oscillatoricity
UR - http://eudml.org/doc/13180
ER -

References

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  1. Etgen G. J., Lewis R. T., Positive functionals and oscillation criteria for second order differential systems, Proc. Edinburgh Math. Soc., to appear. Zbl0429.34032MR0560991
  2. Etgen G. J., Pawlowski J. F., 10.2140/pjm.1976.66.99, Pacific J. Math., 66 (1976), 99-110. (1976) MR0440147DOI10.2140/pjm.1976.66.99
  3. Etgen G. J., Pawlowski J. F., 10.2140/pjm.1977.72.59, Pacific J. Math., 72 (1977), 59-69. (1977) Zbl0373.34016MR0450675DOI10.2140/pjm.1977.72.59
  4. Hartman P., Ordinary Differential Equations, John Wiley and Sons, New York, 1964. (1964) Zbl0125.32102MR0171038
  5. Hayden T. L., Howard H. C, 10.1007/BF02413547, Annali di Matematica Рurа ed Applicata, 85 (1970), 383-394. (1970) Zbl0198.13102MR0267235DOI10.1007/BF02413547
  6. Hille E., 10.1090/S0002-9947-1948-0027925-7, Trans. Amer. Math. Soc., 64 (1948), 234-252. (1948) MR0027925DOI10.1090/S0002-9947-1948-0027925-7
  7. Hille E., Lectures on Ordinary Differential Equations, Addison-Wesley Publishing Company, Reading, Mass., 1969. (1969) Zbl0179.40301MR0249698
  8. Leighton W., 10.1112/jlms/s1-27.1.37, J. London Math Soc., 27 (1952), 37-47. (1952) MR0046506DOI10.1112/jlms/s1-27.1.37
  9. Noussair E. S., 10.1017/S0004972700043112, Bull. Austrailian Math. Soc., 9 (1973), 219-226. (1973) Zbl0258.34055MR0348219DOI10.1017/S0004972700043112
  10. Reid W. T., Ordinary Differential Equations, John Wiley and Sons, New York, 1971. (1971) Zbl0212.10901MR0273082
  11. Reid W. T., Riccati Differential Equations. Mathematics in Science and Engineering, Volume 86, Academic Press, New York, 1972. (1972) MR0357936
  12. Rickart С. E., General Theory of Banach Algebras, Van Nostrand, New York, 1960. (1960) Zbl0095.09702MR0115101
  13. Swanson C. A., Comparison and Oscillation Theory of Linear Differential Equations. Mathematics in Science and Engineering, Volume 48, Academic Press, New York, 1968. (1968) MR0463570
  14. Taam С. T., 10.1215/S0012-7094-52-01951-0, Duke Math. J., 19 (1952), 493-497. (1952) MR0051994DOI10.1215/S0012-7094-52-01951-0
  15. Williams С. M., Oscillation phenomena for linear differential systems in a B * -algebra, Ph. D. dissertation, University of Oklahoma, 1971. (1971) 
  16. Wintner A., A criterion of oscillatory stability, Quart. Appl. Math., 7 (1949), 115-117. (1949) Zbl0032.34801MR0028499
  17. Wintner A., On the comparison theorem of Kneser-Hille, Math. Scand., 5 (1957), 255-260. (1957) Zbl0080.29801MR0096867

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