Asymptotic behaviour of solutions of a linear differential equation

 Access to full text

 Full (PDF)

1. E. A. Coddington N. Levinson, Theory of Ordinary Differential Equations, New York, 1955. (1955) MR0069338
2. P. Hartman, Ordinary Differential Equations, New York, London, Sydney, 1964. (1964) Zbl0125.32102MR0171038
3. P. Hartman A. Wintner, Asymptotic integrations of linear differential equations, Amer. J. Math., 77 (1955), 45-87. (1955) MR0066520
4. P. Hartman, On differential equations and the functions $J^2+Y^2$, Amer. J. Math. 83 (1961), 154-188. (1961) MR0123039
5. D. B. Hinton, Asymptotic behaviour of solutions of ${\left(r{y}^{\left(m\right)}\right)}^{\left(k\right)}\pm qy=0$, J. Diff. Eq., 4, 1968, 590-596. (1968) MR0232047
6. J. Mamrilla, On the oscillation of solutions of $y^{\left(2n\right)}+B{y}^{\text{'}}+Ay=0$, B > 0, Math. Slovaca 32, 1982, 405-512. (1982) Zbl0506.34029MR0676578
7. J. Mamrilla, On the oscillation of solutions of $y^{\left(2n\right)}+B{y}^{\text{'}}+Ay=0$, B < 0, Acta Univ. Comen.-Mathematica XL-XLI, 1982, 169-181 (Russian). (1982) Zbl0506.34029
8. G. W. Pfeifer, Asymptotic solutions of the equation y" -f pyf -f ry = 0, J. Diff. Eq., 11 (1972), 145-155. (1972) 
9. J. Rovder, Asymptotic behaviour of solutions of the differential equation of the fourth order, Math. Slovaca 30 1980, 379-392. (1980) Zbl0482.34050MR0595299
10. J. Šimša, Asymptotic integration of perturbed linear differential equations under conditions involving ordinary integral convergence, Siam J. Math. Anal. 15 (1984), 116-123. (1984) MR0728686
11. J. Šimša, The condition of ordinary integral convergence in the asymptotic theory of linear differential equations with almost constant coefficients, Siam Math. J. Anal., 16 (1985), 757-769. (1985) MR0793920
12. A. Wintner, On the normalization of characteristic differentials in continuous spectra, Phys. Rev., 72 (1947), 516-517. (1947) Zbl0029.29303MR0022004
13. Yu, Qian Biao, Oscillatory and asymptotic behaviour of the solutions of higher-order linear differential equations, Acta Math. Appl. Sinica 5 (1982), 36-44. (1982) MR0762669