Some Extensions of the Initial Value Problem for Second Order Evolution Equations

Nie Yi-yi; Zhou Hong-ding

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(3): 225-236

Nie Yi-yi, Zhou Hong-ding. Some Extensions of the Initial Value Problem for Second Order Evolution Equations[J]. Applied Mathematics and Mechanics, 1987, 8(3): 225-236.

Citation:

Nie Yi-yi, Zhou Hong-ding. Some Extensions of the Initial Value Problem for Second Order Evolution Equations[J]. Applied Mathematics and Mechanics, 1987, 8(3): 225-236.

Citation:

Nie Yi-yi, Zhou Hong-ding. Some Extensions of the Initial Value Problem for Second Order Evolution Equations[J]. Applied Mathematics and Mechanics, 1987, 8(3): 225-236.

PDF( 672 KB)

Some Extensions of the Initial Value Problem for Second Order Evolution Equations

Institute of Water Conservancy and Hydroelectric Power, Wuhan

Received Date: 1985-04-19
Publish Date: 1987-03-15

Abstract

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.

FullText(HTML)

References(3)

References

[1]	Showalter, R.E., Hilbert Space Methods for Partial Differential Equations, Pitman London(1977).
[2]	Tanabe, H., Remarks on the equations of evolutions in a Banach space, Osaka Math.J.12(1960).
[3]	Nie Yi-yi(聂仪一), Anti-symmetric system of 2nd order evolution equations, Acta Mathematica Scientia, 4, (1984).