A new comparison theorem for scalar Riccati equations
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- by R. A. Stafford and J. W. Heidel PDF
- Bull. Amer. Math. Soc. 80 (1974), 754-757
References
- Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
- Einar Hille, Non-oscillation theorems, Trans. Amer. Math. Soc. 64 (1948), 234–252. MR 27925, DOI 10.1090/S0002-9947-1948-0027925-7 3. R. A. Jones, Existence theorems for matrix Riccati equations, Ph.D. Dissertation, University of Tennessee, 1973.
- A. Ju. Levin, A comparison principle for second-order differential equations, Soviet Math. Dokl. 1 (1960), 1313–1316. MR 0124563 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.
- 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 251305, DOI 10.1090/S0002-9947-1969-0251305-6
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 754-757
- MSC (1970): Primary 34A30, 34C05
- DOI: https://doi.org/10.1090/S0002-9904-1974-13588-3
- MathSciNet review: 0342771