Solution of Some Problems for the String Vibration
Equation in a Half-Strip by Quadratures
摘要
Abstract
For the inhomogeneous string vibration equation in a half-strip, we consider a problemperiodic in the spatial variable and a mixed problem. The solutions of these problems in the formof finite sums are obtained by quadratures. When solving these problems, we use thecharacteristic rectangle identity, Riemann invariants, and the method of characteristics.