Oscillation theorems for systems of linear differential equations
HTML articles powered by AMS MathViewer
- by Zeev Nehari
- Trans. Amer. Math. Soc. 139 (1969), 339-347
- DOI: https://doi.org/10.1090/S0002-9947-1969-0239185-6
- PDF | Request permission
References
- John H. Barrett, Fourth order boundary value problems and comparison theorems, Canadian J. Math. 13 (1961), 625โ638. MR 133519, DOI 10.4153/CJM-1961-051-x
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
- Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
- Philip Hartman and Aurel Wintner, On disconjugate differential systems, Canadian J. Math. 8 (1956), 72โ81. MR 74595, DOI 10.4153/CJM-1956-012-4
- Robert W. Hunt, The behavior of solutions of ordinary, self-adjoint differential equations of arbitrary even order, Pacific J. Math. 12 (1962), 945โ961. MR 147725, DOI 10.2140/pjm.1962.12.945
- Robert W. Hunt, Oscillation properties of even-order linear differential equations, Trans. Amer. Math. Soc. 115 (1965), 54โ61. MR 203132, DOI 10.1090/S0002-9947-1965-0203132-X
- W. J. Kim, Disconjugacy and disfocality of differential systems, J. Math. Anal. Appl. 26 (1969), 9โ19. MR 236464, DOI 10.1016/0022-247X(69)90172-3
- Walter Leighton and Zeev Nehari, On the oscillation of solutions of self-adjoint linear differential equations of the fourth order, Trans. Amer. Math. Soc. 89 (1958), 325โ377. MR 102639, DOI 10.1090/S0002-9947-1958-0102639-X
- A. Ju. Levin, Some questions on the oscillation of solutions of linear differential equations, Dokl. Akad. Nauk SSSR 148 (1963), 512โ515 (Russian). MR 0146450
- A. Ju. Levin, On the distribution of zeros of solutions of a linear differential equation, Dokl. Akad. Nauk SSSR 156 (1964), 1281โ1284 (Russian). MR 0164079
- David London and Binyamin Schwarz, Disconjugacy of complex differential systems and equations, Trans. Amer. Math. Soc. 135 (1969), 487โ505. MR 0237875, DOI 10.1090/S0002-9947-1969-0237875-2
- Zeev Nehari, On an inequality of Lyapunov, Studies in mathematical analysis and related topics, Stanford Univ. Press, Stanford, Calif., 1962, pp.ย 256โ261. MR 0145149
- Zeev Nehari, Disconjugate linear differential operators, Trans. Amer. Math. Soc. 129 (1967), 500โ516. MR 219781, DOI 10.1090/S0002-9947-1967-0219781-0
- William T. Reid, Principal solutions of non-oscillatory self-adjoint linear differential systems, Pacific J. Math. 8 (1958), 147โ169. MR 98220, DOI 10.2140/pjm.1958.8.147
- William T. Reid, Oscillation criteria for self-adjoint differential systems, Trans. Amer. Math. Soc. 101 (1961), 91โ106. MR 133518, DOI 10.1090/S0002-9947-1961-0133518-X
- Binyamin Schwarz, Disconjugacy of complex differential systems, Trans. Amer. Math. Soc. 125 (1966), 482โ496. MR 206371, DOI 10.1090/S0002-9947-1966-0206371-8
- Thomas L. Sherman, Properties of solutions of $n\textrm {th}$ order linear differential equations, Pacific J. Math. 15 (1965), 1045โ1060. MR 185185, DOI 10.2140/pjm.1965.15.1045
- T. L. Sherman, Properties of solutions of quasi-differential equations, Duke Math. J. 32 (1965), 297โ304. MR 179411, DOI 10.1215/S0012-7094-65-03230-8
- Robert L. Sternberg, Variational methods and non-oscillation theorems for systems of differential equations, Duke Math. J. 19 (1952), 311โ322. MR 48668
- H. M. Sternberg and R. L. Sternberg, A two-point boundary problem for ordinary self-adjoint differential equations of fourth order, Canad. J. Math. 6 (1954), 416โ419. MR 61738, DOI 10.4153/cjm-1954-041-5
- Aurel Wintner, On the non-existence of conjugate points, Amer. J. Math. 73 (1951), 368โ380. MR 42005, DOI 10.2307/2372182
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 139 (1969), 339-347
- MSC: Primary 34.42
- DOI: https://doi.org/10.1090/S0002-9947-1969-0239185-6
- MathSciNet review: 0239185