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)

 
 

 

Positive solutions of nonlinear second order ordinary differential equations


Author: Z. Zhao
Journal: Proc. Amer. Math. Soc. 121 (1994), 465-469
MSC: Primary 34A34; Secondary 34C99, 47H15, 47N20
DOI: https://doi.org/10.1090/S0002-9939-1994-1185276-5
MathSciNet review: 1185276
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We prove an existence theorem for positive solutions of nonlinear second order ordinary differential equations by using the perturbation method and the Schauder fixed point theorem.


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

  • [1] K.-S. Cheng and W.-M. Ni, On the structure of the conformal scalar curvature equation on $ {R^n}$, Indiana Univ. Math. J. 41 (1992), 261-278. MR 1160913 (93g:35040)
  • [2] E. Zeidler, Nonlinear functional analysis and its applications. I, Springer-Verlag, New York, 1986. MR 816732 (87f:47083)
  • [3] Z. Zhao, On the existence of positive solutions of nonlinear elliptic equations--a probabilistic potential theory approach, Duke Math. J. 69 (1993), 247-258. MR 1203227 (94c:35090)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34A34, 34C99, 47H15, 47N20

Retrieve articles in all journals with MSC: 34A34, 34C99, 47H15, 47N20


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1185276-5
Article copyright: © Copyright 1994 American Mathematical Society

American Mathematical Society