[PDF] Top 20 Existence and uniqueness of algebraic function approximations

... analytic function by an integral function is ...the existence, uniqueness and order of approximation for both 'normal' and 'non-normal' ... See full document

... the existence and uniqueness of solutions to various systems of partial differential equations (PDEs) connected to magnetohydrodynam- ics (MHD), which govern the evolution of a fluid which has an associated ... See full document

... the existence and uniqueness of solution to stochastic functional differential equations with infinite delay at phase space BC ((-∞, 0]: R d ) which denotes the family of bounded continuous R d -valued ... See full document

... the existence of the polynomial EVD has been reported in ...circumstances existence is guaranteed and does not address the uniqueness or ambiguity of eigenvalues and ... See full document

... Dasgupta‘s contribution in computing the wedge functions makes the process more viable to be solved using computers, as it sets the method free from geometry. From application point of view, it may be noted that this ... See full document

... The aim of this paper is to establish an existence and uniqueness result of solutions of the first order abstract Hahn difference equations by using the method of successive ap- proximations. This method is a ... See full document

... the existence and uniqueness of proper scoring rules one needs to extend the associated entropy functions as sublinear functions to the conic hull of the prediction ...natural function spaces, such ... See full document

... We consider the existence, the nonexistence, and the uniqueness of solutions of some special systems of nonlinear elliptic equations with boundary conditions. In a particu- lar case, the system reduces to ... See full document

... real-valued function by an algebraic function, where the approximation is determined by collocation at a sufficient number of distinct nodes, is ...the existence, uniqueness and order ... See full document

... It was shown that by defining a "surplus" for the algebraic form and a "deficiency" for the algebraic function, a unique algebraic form could be defined, and a unique branch of the algeb[r] ... See full document

... penalty function to the cost functional. The existence solu- tion of the considering system of parabolic optimal control problem (POCP) is ...the uniqueness theorem for the solving POCP is ... See full document

... for uniqueness proofs; those of kind 2. seem better suited for existence analysis and study of convergence of various kinds of ...for uniqueness and convergence analysis; in these situations, the ... See full document

... Evolutional Lotka-Volterra system does not seem to be well understood analytically except for the case of two species. In this paper, we have studied how the evolu- tional change of a character influences global ... See full document

... spline function it advantage that we do not have corners at joint of two higher degree pieces and therefore to achieve a prescribed accuracy less data than lower order method ...investigated existence ... See full document

... generalized function theory, we give a result of existence and uniqueness of generalized solution with initial data are distributions (elements of the Colombeau ... See full document

... The layout of this paper is as follows. In Section 2, the solvability of equation (1) is stated. Section 3 outlines some of the main properties of sinc function that is necessary for the formulation of the delay ... See full document

... prove existence and uniqueness of regular solutions, as this provides a solid basis for the study of optimal strategies through the smooth verification theorem (see [Yong & Zhou, 1999], Chap- ter 5, ... See full document

... the existence and the uniqueness of an optimal control problem for a hyperbolic equation with a phase ...penalty function method and introducing a conjugate problem, an expression of the gradient of ... See full document

... for existence and uniqueness of the forward problem and well-posedness (including method stability under numerical approximations) for the inverse problem of estimating the probability ... See full document

... Under certain condi- tions, we prove the existence, uniqueness and iterative approximations of fixed points for contractive mappings (.)-(.) of integral type in complete metric spaces[r] ... See full document