In this paper, we prove a theorem on boundary perturbation of nonautonomous Cauchy problerris arid then apply this result to show the existence and uniqueness of classical solutions of the nonautonomous, Banach space valued functional differential equation0 1999 Academic Press where each A(t) is a linear operator on X . Supposing dense domains D ( A ( t ) ) , one can characterize well-posedness of ( wlCP) by the following definition (see 191). DEFINITION 1.1. The problem ( d C P ) is called wellposed if there exists a unique, strongly continuous evolutionfamily {U(t, s)}, ~ ,~ ~ ~ of bounded, NONAUTONOMOUS FDE'S 159 linear operators on X satisfying 1. U(t, t ) = Id for all 0 I t I T , 2. U(t, s)U(s, r ) = U(t, r ) for all 0 I r I s I t I T , 3. ( t , s) -U(t, s) is strongly continuous, and for every s E [0, TI there exists a dense subspace Y, L X satisfying U(t, 3)x L D ( A ( t ) ) for every 0 I s I t I T such that d -U ( t , S ) X = A ( t ) U ( T , S ) X d t for all x E Y,.

We find the criteria for the solvability of the operator equation AX − XB = C, where A, B, and C are unbounded operators, and use the result to show existence and regularity of solutions of nonhomogeneous Cauchy problems.

The GIS database of the Holocene sedimentary processes occurred in Balat River Mouth, its evolution and distribution in space and time. The remotely sensed satellite imageries including Landsat TM, Landsat 7 ETM are processed, visually interpreted in combination with GIS data to clarify the Holocene sedimentation, its facies conditions and characteristics. The relationships of Holocene deposits and the interpretation pattern recognition of satellite remotely sensed data are established. The database in GIS environment is created and GIS spatial and attribute data analysis is applied to draw the change of Holocene lithofacies in horizontal/vertical space directions and time in relation to the sedimentary evolution of the coastline. The relation between sedimentary evolution and global sea level change expressed the sedimentary rate and it also describes the process of Land-Ocean interaction in relation with present sea level change. Finally, the paper gives the picture of litho-dynamic characteristics and distribution of lithofacies of Balat river mouth in Holocene. The principal lithofacies are as follows: sandy ridge, mangrove swamp, delta's flood plain, tidal channel and tidal flats.

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