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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
The main result not only generalizes the corresponding known ones on manifolds without boundary, but also clarifies the role of the second fundamental form in the analysis of
In these cases it is natural to consider the behaviour of the operator in the Gevrey classes G s , 1 < s < ∞ (for definition and properties see for example Rodino
The aim of this leture is to present a sequence of theorems and results starting with Holladay’s classical results concerning the variational prop- erty of natural cubic splines
The proof of Lemma 9 is based on the well-known Besicovitch theorem on possible values of upper and lower derivative numbers (see [1], Ch.IV,.. § 3) and is carried out analogously
For instance, the delay equation does not inherit the classical properties of the Dirichlet boundary value prob- lem for the heat equation: the maximum principle is not valid,
Stability and boundedness of Volterra integral and integrodifferential equations have been ex- tensively considered for a long time (see the well-known books [1, 4], recent papers
By using a variational approach, we obtain some sufficient conditions for the existence of three classical solutions of a boundary value problem consisting of a system of
