数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2013年
4期
395-405
,共11页
王丹凤%刘树德%秦赵娜
王丹鳳%劉樹德%秦趙娜
왕단봉%류수덕%진조나
奇摄动%Robin问题%多重解%合成展开法%微分不等式理论
奇攝動%Robin問題%多重解%閤成展開法%微分不等式理論
기섭동%Robin문제%다중해%합성전개법%미분불등식이론
Singular perturbation%Robin problems%Multi-solutions%The method of composite expansions%Theory of differential inequalities
研究了一类奇摄动半线性Robin问题。在适当的条件下，分析了该问题出现多重解现象。利用合成展开法构造出问题的形式渐近解，并应用微分不等式理论证明了解的存在性以及当ε→0时解的渐近性质。
研究瞭一類奇攝動半線性Robin問題。在適噹的條件下，分析瞭該問題齣現多重解現象。利用閤成展開法構造齣問題的形式漸近解，併應用微分不等式理論證明瞭解的存在性以及噹ε→0時解的漸近性質。
연구료일류기섭동반선성Robin문제。재괄당적조건하，분석료해문제출현다중해현상。이용합성전개법구조출문제적형식점근해，병응용미분불등식이론증명료해적존재성이급당ε→0시해적점근성질。
Some singularly perturbed semi linear Robin problems are studied. Multi-solution phenomena of the problem which may be occur are analyzed. Formal asymptotic solutions of problems are constructed using the method of composite expansions,and then the existence and asymptotic behavior (asε·0) of solutions are proved by the theory of differential inequalities.
