Disconjugate $n$th order differential equations and principal solutions
Author:
Philip Hartman
Journal:
Bull. Amer. Math. Soc. 74 (1968), 125-129
DOI:
https://doi.org/10.1090/S0002-9904-1968-11904-4
MathSciNet review:
0222388
Full-text PDF Free Access
References | Additional Information
- 1. Philip Hartman, On boundary value problems for systems of ordinary, nonlinear, second order differential equations, Trans. Amer. Math. Soc. 96 (1960), 493–509. MR 124553, https://doi.org/10.1090/S0002-9947-1960-0124553-5
- 2. Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
- 3. Philip Hartman, On disconjugate differential equations, Trans. Amer. Math. Soc. 134 (1968), 53–70. MR 226138, https://doi.org/10.1090/S0002-9947-1968-0226138-6
- 4. Philip Hartman and Aurel Wintner, Linear differential and difference equations with monotone solutions, Amer. J. Math. 75 (1953), 731–743. MR 57404, https://doi.org/10.2307/2372548
- 5. Marston Morse and Walter Leighton, Singular quadratic functionals, Trans. Amer. Math. Soc. 40 (1936), no. 2, 252–286. MR 1501873, https://doi.org/10.1090/S0002-9947-1936-1501873-7
- 6. C. Olech, Asymptotic behaviour of the solutions of second order differential equations, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 7 (1959), 319–326 (unbound insert) (English, with Russian summary). MR 0108610
- 7. G. Pólya, On the mean-value theorem corresponding to a given linear homogeneous differential equation, Trans. Amer. Math. Soc. 24 (1922), no. 4, 312–324. MR 1501228, https://doi.org/10.1090/S0002-9947-1922-1501228-5
- 8. J. D. Schuur, The asymptotic behavior of a solution of the third order linear differential equation, Proc. Amer. Math. Soc. 18 (1967), 391–393. MR 216101, https://doi.org/10.1090/S0002-9939-1967-0216101-8
- 9. Aurel Wintner, On the non-existence of conjugate points, Amer. J. Math. 73 (1951), 368–380. MR 42005, https://doi.org/10.2307/2372182
Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1968-11904-4
