Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (3): 229-240.
聂仪一, 周红丁
Nie Yi-yi, Zhou Hong-ding
摘要: The initial problem for second order linear evolution equation systems is discussed by using the contraction semigroup theory. A kind of initial value problem for second order is also discussed with variable coefficients for evolution equations by using the analytical semigroup theory, and is unified with the solutions of the initial value problem for this class of equations and those of first order temporally inhomogeneous evolution equations. This is an important class of equations in mathematical mechanics.