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On a Variational Problem of Ulam [PDF]
Using the concept of well-posedness under perturbations we give an answer to the following question posed by Stanislaw Ulam : “when it is true that solutions of two problems in the calculus of variations which corresponds to “close” physical data must be close to each other?”(“A collection of mathematical problems”, 1960).
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On the equivalence of variational problems. III [PDF]
The paper follows a previous one by the same author on the equivalence of two variational problems with differential constraints [J. Differ. Equations 98, No. 1, 76-90 (1992; Zbl 0764.49008)]. More precisely, it deals with problems of the type: to find the optimal solutions of an integral functional \[ \int f \bigl( x,y(x), y_ 1(x), \dots, y_ n(x ...
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Young measures in a nonlocal phase transition problem [PDF]
A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Winter, M +5 more
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Is variation in biological variation a problem? [PDF]
nent of the total variation (CVT) and can be considered in terms of intra-individual (BVI) and inter-individual (BVG) variation. For a given individual the BVI can be determined from the total variation (CVT) and the analytical variation (CVA). Since the CVA can be readily calculated for most analytes the BVI can be readily determined.
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A VARIATION ON SELBERG'S APPROXIMATION PROBLEM [PDF]
Let $α\in\mathbb{C}$ in the upper half-plane and let $I$ be an interval. We construct an analogue of Selberg's majorant of the characteristic function of $I$ that vanishes at the point $α$. The construction is based on the solution to an extremal problem with positivity and interpolation constraints.
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A Nonconvex Variational Problem with Constraints
A multidimensional version of Liapunov-type theorems is proven. As an application, it is proven that, under proper hypothesis on the possibly nonconvex function f, the problem $\min \int _0^T f(u'(t))dt$ on the subset of $W^{1,p} ([0,T],\mathbb{R}^n) $ of those functions u satisfying the prescribed boundary conditions and whose trajectory lies out of a
AMAR, Micol, C. MARICONDA
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Projection Algorithms for Variational Inclusions
We present a projection algorithm for finding a solution of a variational inclusion problem in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a solution of the variational inclusion problem which ...
Youli Yu +2 more
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Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces
We consider the variational inequality problem for a family of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space.
Yasunori Kimura, Kazuhide Nakajo
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This paper aims to find a solution of interval uncertainty to multiobjective variational problems. For this, we consider an interval-valued multiobjective variational problem.
Shalini Jha +2 more
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ABSTRACT Introduction Peritoneal dialysis (PD) is an established home‐based kidney replacement therapy (KRT), but its uptake remains low in Japan. We evaluated whether individualized education in a dedicated outpatient clinic was associated with the initiation of PD.
Yasuko Ito +7 more
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