摘要
Guangqing(毕光庆) (Yan’an Second School,Yan’an,716000) Abstract For linear partial differential equation P( x, t)u=f(x,t), where x∈R n,t∈R 1. With P( x, t) is (t+P( x)) m,∏mi=1(t-a iP( x)) or ∏mi=1( 2t 2-a 2 iP( x)),the author gives the analytic solution of the initial value problem using the operators e tP( x) and sh(tP( x) 1/2 )P( x) 1/2 . By representing the operators with integrals,explicit solutions are obtained with an integral form of a given function.
Guangqing(毕光庆) (Yan’an Second School,Yan’an,716000) Abstract For linear partial differential equation P( x, t)u=f(x,t), where x∈R n,t∈R 1. With P( x, t) is (t+P( x)) m,∏mi=1(t-a iP( x)) or ∏mi=1( 2t 2-a 2 iP( x)),the author gives the analytic solution of the initial value problem using the operators e tP( x) and sh(tP( x) 1/2 )P( x) 1/2 . By representing the operators with integrals,explicit solutions are obtained with an integral form of a given function.
