Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (3): 229-240.

• 论文 • 上一篇    下一篇

SOME EXTENSIONS OF THE INITIAL VALUE PROBLEM FOR SECOND ORDER EVOLUTION EQUATIONS

聂仪一, 周红丁   

  1. Institute of Water Conservancy and Hydroelectric Power, Wuhan
  • 收稿日期:1985-04-19 出版日期:1987-03-18 发布日期:1987-03-18

SOME EXTENSIONS OF THE INITIAL VALUE PROBLEM FOR SECOND ORDER EVOLUTION EQUATIONS

Nie Yi-yi, Zhou Hong-ding   

  1. Institute of Water Conservancy and Hydroelectric Power, Wuhan
  • Received:1985-04-19 Online:1987-03-18 Published:1987-03-18

摘要: The initial problem for second order linear evolution equation systems is discussed by using the contraction semigroup theory. A kind of initial value problem for second order is also discussed with variable coefficients for evolution equations by using the analytical semigroup theory, and is unified with the solutions of the initial value problem for this class of equations and those of first order temporally inhomogeneous evolution equations. This is an important class of equations in mathematical mechanics.

关键词: particle. high velocity, Bucherer’s experiment, law of conservation of mass

Abstract: The initial problem for second order linear evolution equation systems is discussed by using the contraction semigroup theory. A kind of initial value problem for second order is also discussed with variable coefficients for evolution equations by using the analytical semigroup theory, and is unified with the solutions of the initial value problem for this class of equations and those of first order temporally inhomogeneous evolution equations. This is an important class of equations in mathematical mechanics.

Key words: particle. high velocity, Bucherer’s experiment, law of conservation of mass

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