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On a resonance problem with nonlinearities of arbitrary polynomial growth

Published online by Cambridge University Press:  17 April 2009

Chung-Wei Ha  and
Wen-Bing Song
Chung-Wei Ha
Affiliation:
Department of Mathematics National, Tsing Hua University, Hsinchu, Taiwan
Wen-Bing Song
Affiliation:
Department of Banking and Insurance, Takming College of Commerce, Taipei, Taiwan
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We prove some existence theorems for solutions of a semilinear two point boundary value problem at resonance in which the nonlinear terms can have arbitrary polynomial growth in one of the directions ∞ or –∞, and are bounded in the other. The results are based on degree theoretic arguments and the Borsuk odd mapping theorem.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 48 , Issue 3 , December 1993 , pp. 435 - 440
Copyright
Copyright © Australian Mathematical Society 1993

References

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