【摘要】 用算子半群的方法证明了一类伪双曲系统解的存在性、唯一性;并且证明了系统的所有特征向量构成状态空间的正交基,用基理论证明了该系统解的渐近性。更多还原

【Abstract】 We study the existence and uniqueness of solutions of the pseudo-hyperbolic equations by using the approach of operator semigroup,and prove that all the eigenvectors of the system form an orthogonal basis in the state space.Moreover,we investigate the asymptotic property of this system in virtue of orthogonal basis theory.更多还原