| Title:
|
A Hille-Wintner comparison theorem for second order differential systems (English) |
| Author:
|
Etgen, Garret J. |
| Author:
|
Lewis, Roger T. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
30 |
| Issue:
|
1 |
| Year:
|
1980 |
| Pages:
|
98-107 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0429.34033 |
| idMR:
|
MR565912 |
| DOI:
|
10.21136/CMJ.1980.101659 |
| . |
| Date available:
|
2008-06-09T14:37:48Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101659 |
| . |
| Reference:
|
[1] Etgen G. J., Lewis R. T.: Positive functionals and oscillation criteria for second order differential systems.Proc. Edinburgh Math. Soc., to appear. Zbl 0429.34032, MR 0560991 |
| Reference:
|
[2] Etgen G. J., Pawlowski J. F.: Oscillation criteria for second order selfadjoint differential systems.Pacific J. Math., 66 (1976), 99-110. MR 0440147, 10.2140/pjm.1976.66.99 |
| Reference:
|
[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. Zbl 0373.34016, MR 0450675, 10.2140/pjm.1977.72.59 |
| Reference:
|
[4] Hartman P.: Ordinary Differential Equations.John Wiley and Sons, New York, 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[5] Hayden T. L., Howard H. C: Oscillation of differential equations in Banach spaces.Annali di Matematica Рurа ed Applicata, 85 (1970), 383-394. Zbl 0198.13102, MR 0267235, 10.1007/BF02413547 |
| Reference:
|
[6] Hille E.: Nonoscillation theorems.Trans. Amer. Math. Soc., 64 (1948), 234-252. MR 0027925, 10.1090/S0002-9947-1948-0027925-7 |
| Reference:
|
[7] Hille E.: Lectures on Ordinary Differential Equations.Addison-Wesley Publishing Company, Reading, Mass., 1969. Zbl 0179.40301, MR 0249698 |
| Reference:
|
[8] Leighton W.: On selfadjoint differential equations of second order.J. London Math Soc., 27 (1952), 37-47. MR 0046506, 10.1112/jlms/s1-27.1.37 |
| Reference:
|
[9] Noussair E. S.: Differential equations in Banach spaces.Bull. Austrailian Math. Soc., 9 (1973), 219-226. Zbl 0258.34055, MR 0348219, 10.1017/S0004972700043112 |
| Reference:
|
[10] Reid W. T.: Ordinary Differential Equations.John Wiley and Sons, New York, 1971. Zbl 0212.10901, MR 0273082 |
| Reference:
|
[11] Reid W. T.: Riccati Differential Equations. Mathematics in Science and Engineering.Volume 86, Academic Press, New York, 1972. MR 0357936 |
| Reference:
|
[12] Rickart С. E.: General Theory of Banach Algebras.Van Nostrand, New York, 1960. Zbl 0095.09702, MR 0115101 |
| Reference:
|
[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 0463570 |
| Reference:
|
[14] Taam С. T.: Nonoscillatory differential equations.Duke Math. J., 19 (1952), 493-497. MR 0051994, 10.1215/S0012-7094-52-01951-0 |
| Reference:
|
[15] Williams С. M.: Oscillation phenomena for linear differential systems in a $B^*$-algebra.Ph. D. dissertation, University of Oklahoma, 1971. |
| Reference:
|
[16] Wintner A.: A criterion of oscillatory stability.Quart. Appl. Math., 7 (1949), 115-117. Zbl 0032.34801, MR 0028499, 10.1090/qam/28499 |
| Reference:
|
[17] Wintner A.: On the comparison theorem of Kneser-Hille.Math. Scand., 5 (1957), 255-260. Zbl 0080.29801, MR 0096867, 10.7146/math.scand.a-10502 |
| . |
