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By Stephen P Banks; A J Pritchard; International Federation of Automatic Control

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1 2 4 ] H . Re iquam , " An Atmo s pheric Tran sport and Accumu l at ion Mode l for Air­ sheds , " Atmo s . ±_ , 2 3 3 ( 1 9 7 0 ) . [ 1 2 5 ] R . G . L amb and Morr i s Ne iburger , "An Interim Vers ion o f a Genera l i z e d Urban A i r Pol lut ion Mode l , " Atmo s . Env . � , 2 3 9 ( 1 9 7 1 ) . [ 1 2 6 ] J . H . S e i n fe l d , " Current Problems in the Mode l l ing and Control of Urban Air Pol lut ion , " Pro c e e dings 1 9 7 2 JACC p . 7 1 7 . [ 1 2 7 ] M . C . MacCracken , T . V . Crawford , K .

38 = 0 is the left endpoint of the first 0 stability zone for ( 2 . 9) . In the literature equations of the form ( 2 . 1) and ( 2 . 9) are referred to as Hil l ' s equation ( cf . [ 1 3) ) . We shall mention briefly two problems which typify the sta­ bility questions that lead to equations of Hil l ' s type . Many other examples are given in [14) - [ 17] and in the recent survey arti­ cle [ 18) . A special case of each example we shall describe appears in [19) . The first example concerns the stability of an elastic rod under periodic compressive forces p (t) applied at the ends of the rod .

Soc. of Mech. Journal of Applied Mech­ anics, 35 , No. 1 , March 196 8 , pp. 102-106 . W. Neustadt, "Thetheexistence of op­ timal controls in absence of convexity", J. Math. Anal. Appl. , Vol. 7 , 1963 , pp. 110-117 . R. Hestenes,Control Calculus of Variations and Optimal Theory, John Wiley and Sons, Inc. , New York, 1966 . T. Rockafellar, Princeton UniversityConve� Press,Analysis, 1970 . c. s. 1977 , w. pp . 39 3-409 . STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACE AND THEIR APPLICATION TO DELAY SYSTEMS Anna Chojnowska-Michalik Institute of Mathematics, Polish A cademy of Sciences, Sniadeckich 8, 00-950 Warsaw ABSTRACT We consider infinite dimensional stochastic differential equations with state dependent martingale noise using semigroup approach.

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