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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
Noncommutative geometry extend the notion from classical differential geometry from differential manifold to discrete spaces and even noncommutative spaces which are given
Using the well-known regularization theorems [6], from these results we easily obtain the existence of classical solutions for suffi- ciently smooth S and boundary data.. In
theorems and the oscillation theorems from [11], in §§2 and 3 we estab- lish sufficient conditions for equations (0.1)–(0.4) to have multiparametric families of proper oscillatory
Note finally that Theorems 1 and 2 have applications in the theory of em- bedding of classes of functions of several variables, in the theory of conjugate functions of
New proofs of some results involving L (log L ) α spaces are given and the decomposition is applied to apriori estimates for elliptic partial differential equations with the
That is, some authors have used fixed point theorems to show the existence of pos- itive solutions to boundary value problems for ordinary differential equations, difference
In this paper, stochastic control theory is applied to answer the following question: if an insurer has the possibility to invest part of his surplus into a risky asset, what is