CAJ | 학술논문

通过分析微分不等式与相应的微分方程的解之间的关系,建立了一阶微分不等式理论,并应用它研究一阶微分方程的奇摄动初值问题,证明了解的存在性,同时用适当的不等式的解来估计精确解,从而得到该问题解的存在性及其渐近性质的一般结果。
통과분석미분불등식여상응적미분방정적해지간적관계,건립료일계미분불등식이론,병응용타연구일계미분방정적기섭동초치문제,증명료해적존재성,동시용괄당적불등식적해래고계정학해,종이득도해문제해적존재성급기점근성질적일반결과。
The theory of first order differential inequalities is established by analysing the relation of solutions between differential inequalities and differenlial equations. Some singularly perturbed initial value problems of first order differential equations are studied. The existence of solutions is proved using the theory of first order differential inequalities, and at the same time, the exact solution is estimated in terms of the solutions of appropriate inequalities, this leads to general results about existence of solutions and their asymptotic behavior for this problem.