Geodesic
A Hille-Wintner comparison theorem for second order differential systems
Czechoslovak Mathematical Journal, Tome 30 (1980) no. 1, pp. 98-107

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

DOI MR   Zbl

DOI : 10.21136/CMJ.1980.101659
Classification : 34C10 
Etgen, Garret J.; Lewis, Roger T. A Hille-Wintner comparison theorem for second order differential systems. Czechoslovak Mathematical Journal, Tome 30 (1980) no. 1, pp. 98-107. doi: 10.21136/CMJ.1980.101659
@article{10_21136_CMJ_1980_101659,
     author = {Etgen, Garret J. and Lewis, Roger T.},
     title = {A {Hille-Wintner} comparison theorem for second order differential systems},
     journal = {Czechoslovak Mathematical Journal},
     pages = {98--107},
     year = {1980},
     volume = {30},
     number = {1},
     doi = {10.21136/CMJ.1980.101659},
     mrnumber = {565912},
     zbl = {0429.34033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1980.101659/}
}
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
SP  - 98
EP  - 107
VL  - 30
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1980.101659/
DO  - 10.21136/CMJ.1980.101659
LA  - en
ID  - 10_21136_CMJ_1980_101659
ER  - 
%0 Journal Article
%A Etgen, Garret J.
%A Lewis, Roger T.
%T A Hille-Wintner comparison theorem for second order differential systems
%J Czechoslovak Mathematical Journal
%D 1980
%P 98-107
%V 30
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1980.101659/
%R 10.21136/CMJ.1980.101659
%G en
%F 10_21136_CMJ_1980_101659

[1] Etgen G. J., Lewis R. T.: Positive functionals and oscillation criteria for second order differential systems. Proc. Edinburgh Math. Soc., to appear. | MR | Zbl

[2] Etgen G. J., Pawlowski J. F.: Oscillation criteria for second order selfadjoint differential systems. Pacific J. Math., 66 (1976), 99-110. | DOI | MR

[3] Etgen G. J., Pawlowski J. F.: A comparison theorem and oscillation criteria for second order differential systems. Pacific J. Math., 72 (1977), 59-69. | DOI | MR | Zbl

[4] Hartman P.: Ordinary Differential Equations. John Wiley and Sons, New York, 1964. | MR | Zbl

[5] Hayden T. L., Howard H. C: Oscillation of differential equations in Banach spaces. Annali di Matematica Рurа ed Applicata, 85 (1970), 383-394. | DOI | MR | Zbl

[6] Hille E.: Nonoscillation theorems. Trans. Amer. Math. Soc., 64 (1948), 234-252. | DOI | MR

[7] Hille E.: Lectures on Ordinary Differential Equations. Addison-Wesley Publishing Company, Reading, Mass., 1969. | MR | Zbl

[8] Leighton W.: On selfadjoint differential equations of second order. J. London Math Soc., 27 (1952), 37-47. | DOI | MR

[9] Noussair E. S.: Differential equations in Banach spaces. Bull. Austrailian Math. Soc., 9 (1973), 219-226. | DOI | MR | Zbl

[10] Reid W. T.: Ordinary Differential Equations. John Wiley and Sons, New York, 1971. | MR | Zbl

[11] Reid W. T.: Riccati Differential Equations. Mathematics in Science and Engineering. Volume 86, Academic Press, New York, 1972. | MR

[12] Rickart С. E.: General Theory of Banach Algebras. Van Nostrand, New York, 1960. | MR | Zbl

[13] Swanson C. A.: Comparison and Oscillation Theory of Linear Differential Equations. Mathematics in Science and Engineering. Volume 48, Academic Press, New York, 1968. | MR

[14] Taam С. T.: Nonoscillatory differential equations. Duke Math. J., 19 (1952), 493-497. | DOI | MR

[15] Williams С. M.: Oscillation phenomena for linear differential systems in a $B^*$-algebra. Ph. D. dissertation, University of Oklahoma, 1971.

[16] Wintner A.: A criterion of oscillatory stability. Quart. Appl. Math., 7 (1949), 115-117. | DOI | MR | Zbl

[17] Wintner A.: On the comparison theorem of Kneser-Hille. Math. Scand., 5 (1957), 255-260. | DOI | MR | Zbl

Cité par Sources :