CAJ | 학술논문

研究了一类具有非局部源的反应扩散方程组的初边值问题，首先利用上下解方法，构造出不同结构的上解，结合比较原理，得到解的整体存在的充分条件，其次利用特征函数和常微分方程的解，构造问题在有限时刻爆破的下解，得出了解在有限时间内爆破的充分条件。
연구료일류구유비국부원적반응확산방정조적초변치문제，수선이용상하해방법，구조출불동결구적상해，결합비교원리，득도해적정체존재적충분조건，기차이용특정함수화상미분방정적해，구조문제재유한시각폭파적하해，득출료해재유한시간내폭파적충분조건。
The initial boundary value problem for a class of reaction diffusion equations with nonlocal source has been studied .First ,the different upper solutions have been constructed by the method of up-per and lower solution ,and combined with comparison principle ,the sufficient conditions for existence of the global solution is obtained .Second ,the lower solution which blow-up in finite time has been con-structed by using eigenvalue function and solution of ordinary differential equation .The sufficient condi-tions of solution w hich blow up in finite time have been obtained .