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In this paper we prove the existence and the uniqueness of classical solution of non-autonomous inhomogeneous boundary Cauchy problems, this solution is given by a variation

solution of non-autonomous inhomogeneous boundary Cauchy problems, this solution is given by a variation of constants formula.. Then, we apply this result to show the existence

ability of the two-point boundary value problems of Vall` ee-Poussin and Cauchy-Niccoletti have been found for a system of ordinary dif- ferential equations of the form.. u ( n ) = f

Karagulyan, The choice of convergence subsystem with loga- rithmic density from an arbitrary orthonormal system..

Ashordia, On the continuous dependence on the parameter of the solution of the Cauchy problem for a system of generalized ordinary differential equations..

The mapping properties of Cauchy singular integrals defined on the Lyapunov curve and on curves of bounded rotation are also investigated within the framework of the

Muskhelishvili indicated quite a useful method of reducing boundary value problems for harmonic functions to a problem of linear conjuga- tion with a certain additional condition

In this paper we study the relation between the neighborhood com- plex of a graph, introduced by Lov´ asz, and the local finiteness of the graph by means of the ordinal functions