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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.

Information

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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