The Generalized Solutions for a Class of Evolution Equations with Second-order Derivative with Respect to Time[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 1988,27(2):47-54.
The Generalized Solutions for a Class of Evolution Equations with Second-order Derivative with Respect to Time[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 1988,27(2):47-54.DOI:
一类带有对时间二阶微商的发展方程的广义解
摘要
用Galerkin方法讨论了一类带有对时间二阶微商的抽象发展方程的广义解
所建立的一般框架和基本结果适用于若干类重要的数学物理发展方程或方程组的初边值问题.
Abstract
We discuss the generalized solutions for a class of evolution equations of the form (d~2u)/(dt~2)=A(t)u+B(t)u
by means of the Galerkin method. The result is applicable to the initial-boundary value problems for some of the equations of mathematical physics.