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)

 
 

 

Asymptotic behavior of solutions of a fourth order nonlinear differential equation


Author: W. E. Taylor
Journal: Proc. Amer. Math. Soc. 65 (1977), 70-72
MSC: Primary 34C10
DOI: https://doi.org/10.1090/S0002-9939-1977-0445063-X
MathSciNet review: 0445063
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, the asymptotic properties of solutions of a certain fourth order differential equation are considered. Sufficient conditions for oscillation are also given.


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

  • [1] J. W. Heidel, Qualitative behavior of solutions of a third order nonlinear differential equation, Pacific J. Math. 27 (1968), 507-526. MR 39 # 1738. MR 0240389 (39:1738)
  • [2] D. L. Lovelady, An oscillation criterion for a fourth order integrally super linear differential equation, Atti Acad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 58 (1975), 532-536. MR 0422766 (54:10752)
  • [3] P. Waltman, Oscillation criteria for third order nonlinear differential equations, Pacific J. Math. 18 (1966), 385-388. MR 34 #422. MR 0200531 (34:422)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34C10

Retrieve articles in all journals with MSC: 34C10


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1977-0445063-X
Keywords: Zeros, nonlinear oscillations, boundedness
Article copyright: © Copyright 1977 American Mathematical Society

American Mathematical Society