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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

In the last section we give some examples: we take a set of points, which come from Nagel- Migliore’s construction (i.e. a reduced arithmetically Gorenstein zeroscheme not a

We reduce the dynamical three-dimensional problem for a prismatic shell to the two-dimensional one, prove the existence and unique- ness of the solution of the corresponding

We consider a nonconvex and nonclosed second order differential inclusion with nonlocal boundary conditions and we prove the arcwise connectedness of the solution set..

In the present study, using the characterizations of measures of noncompactness we prove a theorem on the existence and local asymptotic stability of solutions for a

We prove some theorems relating algebraic properties of the annihilating ideal of a pair of non-unitary commuting contractions with the existence of common invariant subspaces.. We

We consider a nonconvex and nonclosed second order differential inclusion with nonlocal boundary conditions and we prove the arcwise connectedness of the solution set..

Along the way, we prove Marchaud inequalities, saturation and quasi- r monotonicity theorems, existence theorems for derivatives and clarify a statement made by Lubinsky in [5,