Volterra Integral Equations and Topological Dynamics
Richard K. Miller · George R. Sell
jan. 1970 · American Mathematical Society: Memoirs of the American Mathematical Society 102. knjiga · American Mathematical Soc.
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The purpose of this paper is to show how Volterra integral equations may be studied within the framework of the theory of topological dynamics. Part I contains the basic theory, as local dynamical systems are discussed together with some of their elementary properties. The notation of compatible pairs of function spaces is introduced. Part II contains examples of compatible pairs, as these spaces are studied in some detail. Part III contains some applications of the first two parts.
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