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A new comparison theorem for scalar Riccati equations
Authors:
R. A. Stafford and J. W. Heidel
Journal:
Bull. Amer. Math. Soc. 80 (1974), 754-757
MSC (1970):
Primary 34A30, 34C05
MathSciNet review:
0342771
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Philip
Hartman, Ordinary differential equations, John Wiley &
Sons Inc., New York, 1964. MR 0171038
(30 #1270)
- 2.
Einar
Hille, Non-oscillation theorems, Trans. Amer. Math. Soc. 64 (1948), 234–252. MR 0027925
(10,376c), http://dx.doi.org/10.1090/S0002-9947-1948-0027925-7
- 3.
R. A. Jones, Existence theorems for matrix Riccati equations, Ph.D. Dissertation, University of Tennessee, 1973.
- 4.
A.
Ju. Levin, A comparison principle for second-order differential
equations, Soviet Math. Dokl. 1 (1960),
1313–1316. MR 0124563
(23 #A1875)
- 5.
R. A. Stafford, Existence criteria for scalar Riccati equations, Ph.D. Dissertation, University of Tennessee, 1974.
- 6.
C. Sturm, Sur les équations différentielles lineares du second ordre, J. Math. Pures Appl. 1 (1836), 106-186.
- 7.
James
S. W. Wong, Oscillation and nonoscillation of
solutions of second order linear differential equations with integrable
coefficients, Trans. Amer. Math. Soc. 144 (1969), 197–215.
MR
0251305 (40 #4536), http://dx.doi.org/10.1090/S0002-9947-1969-0251305-6
- 1.
- Philip Hartman, Ordinary differential equations, Wiley, New York, 1964. MR 30 #1270. MR 171038
- 2.
- Einar Hille, Non-oscillation theorems, Trans. Amer. Math. Soc. 64 (1948), 234-252. MR 10, 376. MR 27925
- 3.
- R. A. Jones, Existence theorems for matrix Riccati equations, Ph.D. Dissertation, University of Tennessee, 1973.
- 4.
- A. Ju. Levin, A comparison principle for second-order differential equations, Dokl. Akad. Nauk SSSR 135 (1960), 783-786=Soviet Math. Dokl. 1 (1960), 1313-1316. MR 23#A1875. MR 124563
- 5.
- R. A. Stafford, Existence criteria for scalar Riccati equations, Ph.D. Dissertation, University of Tennessee, 1974.
- 6.
- C. Sturm, Sur les équations différentielles lineares du second ordre, J. Math. Pures Appl. 1 (1836), 106-186.
- 7.
- James S. W. Wong, Oscillation and nonoscillation of solutions of second order linear differential equations with integrable coefficients, Trans. Amer. Math. Soc. 144 (1969), 197-215. MR 40 #4536. MR 251305
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1974-13588-3
PII:
S 0002-9904(1974)13588-3
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