ON A RESONANCE PROBLEM WITH NONLINEARITIES OF ARBITRARY POLYNOMIAL-GROWTH

被引：3

作者：

HA, CW

SONG, WB

机构：

[1] NATL TSING HUA UNIV,DEPT MATH,HSINCHU 300,TAIWAN

[2] TAKMING COLL COMMERCE,DEPT BANKING & INSURANCE,TAIPEI,TAIWAN

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1993年 / 48卷 / 03期

关键词：

D O I：

10.1017/S0004972700015896

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 infinity or -infinity, and are bounded in the other. The results are based on degree theoretic arguments and the Borsuk odd mapping theorem.

引用

页码：435 / 440

页数：6

共 5 条

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AHMAD, S
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[2] Deimling K., 1985, NONLINEAR FUNCTIONAL, DOI [DOI 10.1007/978-3-662-00547-7, 10.1007/978-3-662-00547-7]
[3] ON THE RESONANCE PROBLEM WITH NONLINEARITY WHICH HAS ARBITRARY LINEAR GROWTH
DRABEK, P
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 127 (02) : 435 - 442
[4] NONLINEAR 2 POINT BOUNDARY-VALUE PROBLEMS AT RESONANCE WITHOUT LANDESMAN-LAZER CONDITION
IANNACCI, R
NKASHAMA, MN
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 106 (04) : 943 - 952
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