Discrete-Space Systems of Partial Dynamic Equations and Discrete-Space Wave Equation
作者: Antonín Slavík
作者单位: 1Charles University in Prague
刊名: Qualitative Theory of Dynamical Systems, 2017, Vol.16 (2), pp.299-315
来源数据库: Springer Nature Journal
DOI: 10.1007/s12346-016-0193-0
关键词: Wave equationLattice equationTime scaleWell-posednessSuperposition principleFundamental solution34N0535F4035L0539A1465M06
原始语种摘要: We study the well-posedness of initial-value problems for systems of partial dynamic equations with discrete space and arbitrary time domain. We also present the superposition principle for infinite linear combinations of solutions. As an example, we consider the discrete-space wave equation, which is equivalent to a pair of first-order equations. We provide a general method for finding fundamental solutions and illustrate it on several examples of time scales.
全文获取路径: Springer Nature  (合作)

  • solution 溶液
  • equation 方程
  • initial 开首字母
  • value 
  • principle 原理
  • fundamental 基本的
  • present 出席的
  • scale 度盘
  • Space 空格
  • first 第一