Abstract
Purchase PDF (361 K)
E-mail Article
Add to my Quick Links
Cited By in Scopus (9)
Purchase PDF (637 K)
doi:10.1016/0022-247X(87)90121-1 
Copyright © 1987 Published by Elsevier Inc.
On the resonance problem with nonlinearity which has arbitrary linear growth
References and further reading may be available for this article. To view references and further reading you must purchase this article.
Pavel Drábek
Technical University of Plze
, Department of Mathematics, Nejedlého sady 14,306 14, Plze
, Czechoslovakia
Received 27 December 1985.
Submitted by V. Lakshmikantham
Available online 30 June 2004.
Abstract
This paper deals with the nonlinear two-point boundary value problem at resonance. Even nonlinearities g with an arbitrary linear growth in +∞ (resp. −∞) may be considered but only on the cost of the corresponding bound on their linear growth at −∞ (resp. +∞). It generalizes the previous results in this direction obtained by M. Schechter, J. Shapiro, and M. Snow (Trans. Amer. Math. Soc. 241 (1978), 69–78), L. Cesari and R. Kannan (Proc. Amer. Math. Soc. 88 (1983), 605–613), and S. Ahmad (Proc. Amer. Math. Soc. 93 (1984), 381–384).
