CAJ | 학술논문

对于 SBS 方程(双稳态方程)(4) u qu'' u u++?=,当参数0q <时,若该方程的1个解在30[,)x ∞0( x R∈上有界,且在该范围内,()u' x 定号,那么此解有1个无限数量的极值.文中仅对0)参数 q 的范围进行了改变,将 SBS 方程解的极值控制在了3个常数上,由此得到了一个更精确的结论,并同时给出相应的证明.
대우 SBS 방정(쌍은태방정)(4) u qu'' u u++?=,당삼수0q <시,약해방정적1개해재30[,)x ∞0( x R∈상유계,차재해범위내,()u' x 정호,나요차해유1개무한수량적겁치.문중부대0)삼수 q 적범위진행료개변,장 SBS 방정해적겁치공제재료3개상수상,유차득도료일개경정학적결론,병동시급출상응적증명.
For the SBS equations (bistable equation) u(4)qu''+u3-u=0, when the parameters q<, and one of the equation’s solution is bounded on and in this range, u'(x) is definite. As a result, the solution has an infinite number of extremes. In this paper, on the condition that only the range of parameters change, the SBS equations in the extreme can be controlled in three constants. From the proposed solution, a more accurate result can be obtained.