Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A counterexample to a conjecture in linear second-order differential equations


Author: Kálmán Szabó
Journal: Proc. Amer. Math. Soc. 86 (1982), 613-616
MSC: Primary 34C11
DOI: https://doi.org/10.1090/S0002-9939-1982-0674092-8
MathSciNet review: 674092
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The aim of the present paper is to give a simple counterexample to a conjecture [3] in linear second-order differential equations.


References [Enhancements On Off] (What's this?)

  • [1] A. S. Galbraith, E. J. McShane and G. B. Parrish, On the solutions of linear second-order differential equations, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 247-249. MR 0174817 (30:5010)
  • [2] L. A. Gusarov, On the approach to zero of the solutions of a linear differential equation of the second order, Dokl. Akad. Nauk SSSR (N.S.) 71 (1950), 9-12 (Russian); reviewed in Math. Rev. 11 (1950), 516. MR 0033930 (11:516h)
  • [3] A. Meir, D. Willett and J. S. W. Wong, On the asymptotic behavior of the solutions of $ x'' + a(t)x = 0$, Michigan Math. J. 14 (1967), 47-52. MR 0209566 (35:463)
  • [4] G. Sansone, Equazioni differenziali nel campo reale, Nicola Zanichelli, Bologna, 1948. MR 0026731 (10:193c)
  • [5] D. Willett, On an example in second order linear ordinary differential equations, Proc. Amer. Math. Soc. 17 (1966), 1263-1266. MR 0201730 (34:1612)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34C11

Retrieve articles in all journals with MSC: 34C11


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1982-0674092-8
Keywords: Linear second-order differential equation, function of bounded variation
Article copyright: © Copyright 1982 American Mathematical Society

American Mathematical Society