数学物理学报(英文版) ›› 1984, Vol. 4 ›› Issue (1): 81-92.
聂仪一
Nie Yiy
摘要: Under some conditios to find the interaction, of waves is, in the final analysis, to solve kind of anti-symmetric system of second order evolution equations. Thus, in §2 of this paper we discuss the Cauchy problem of anti-symmetric system of second order evolution equations under general situation. It is found that if there is a solution of the system of linear equations corresponding to the anti-symmetric system of second order evolution equations, then for the Cauchy problem there exists a uniqe solution In §3, the abstract boundary value problem of anti-symmetric system of second order evolution equations is studied In §4 we give an example to illuminate the Solvability of initial-boundary value problem about anti-symmetric system of second order evolution equations In the physcial sense, this example is none other then the interaction problem of waves.