• 2022-06-17
    假设函数[tex=12.357x1.571]uAEyfspjewsilX5675tTfdFHCb4a9YpiQASslGzK1tAFRcUDKXHRYD/cebOHj5zbFARovO1Kqr4uaGNKNnxUTybLhh0Xh7v/FG7yUwv9ERg7SbMnFnlqOzM+5cEpPYQf[/tex],且存在非零常数A,B和b>0,使得[tex=18.429x2.214]u5Ei/jC+B48Hely8KmsjTKNOgqedFiZ4jWZaux4Qzxef2Be/WfPYlxGQGdHFAZEp0SbN7Bnbh1IpeNyvSHxXVTQVO6x5LY0F4JJO7nMDE8soiH3FXYcSdWsxYDjvgDjIAT6EQq0crpiu3zM7o8QO4g==[/tex],证明一维波动方程初值问题[tex=19.786x3.357]fnpmC2J6JmQBLyo5NmGAzz1EEFvh0W+KMVB3PRTO6PCr+9Cu2nJO0+TLZ61SGNhKW9jKfd7HgXX0/9r3C4By6AWNgiiUyyT2F6C1M3jE5gSUUGTbal6F2v3yOrGogu2y3YxKbsrSRV70py367LhEWadddt7juSMStXLOxIDOWTj/VC6nY/avghHtwmCEDMYtLD0CbqraO2W1glBpBpcZgA==[/tex]的解u=u(x,t)满足:存在常数c,使得[tex=7.571x2.0]aQeshb8uwXT2rSAknc2RhUhDp0yVFK0kA0m5HWkd2GZeW72KX3pvv4u9jmoqFghq[/tex],并且确定该常数c.