On the resonance problem with nonlinearity which has arbitrary linear growth |
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Institution: | Technical University of Plzeň, Department of Mathematics, Nejedlého sady 14,306 14 Plzeň, Czechoslovakia |
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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). |
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