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Guggenheimer, H.

Distribution of zeros and limit behavior of solutions of differential equations. (English) Zbl 0326.34041

Proc. Am. Math. Soc. 61(1976), 275-279 (1977).
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Cited in 6 Documents

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
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References:

[1] John H. Barrett, Oscillation theory of ordinary linear differential equations, Advances in Math. 3 (1969), 415 – 509. · Zbl 0213.10801 · doi:10.1016/0001-8708(69)90008-5
[2] George D. Birkhoff, On the solutions of ordinary linear homogeneous differential equations of the third order, Ann. of Math. (2) 12 (1911), no. 3, 103 – 127. · JFM 42.0344.01 · doi:10.2307/2007241
[3] H. Guggenheimer, Homogeneous linear differential equations with only periodic solutions., Israel J. Math. 9 (1971), 49 – 52. · Zbl 0191.09903 · doi:10.1007/BF02771619
[4] H. Guggenheimer, Geometric theory of differential equations. IV. Two-point boundary value problems of linear equations, Rend. Mat. (6) 5 (1972), 237 – 250; addenda and corrigenda, ibid. (6) 5 (1972), 853 (English, with Italian summary). · Zbl 0243.34021
[5] Maurice Hanan, Oscillation criteria for third-order linear differential equations., Pacific J. Math. 11 (1961), 919 – 944. · Zbl 0104.30901
[6] F. Neuman, Geometrical approach to linear differential equations of the \?-th order, Rend. Mat. (6) 5 (1972), 579 – 602 (English, with Italian summary). · Zbl 0257.34029
[7] Jerry R. Ridenhour and Thomas L. Sherman, Conjugate points for fourth order linear differential equations, SIAM J. Appl. Math. 22 (1972), 599 – 603. · Zbl 0246.34037 · doi:10.1137/0122056
[8] Beniamino Segre, Alcune proprietà differenziali in grande delle curve chiuse sghembe, Rend. Mat. (6) 1 (1968), 237 – 297 (Italian, with English summary). · Zbl 0185.24802
[9] E. J. Wilczynski, Projective differential geometry of curves and ruled surfaces, Teubner, Leipzig, 1905; Chelsea, New York. · JFM 36.0657.02
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