Duality Results in Quasiinvex Variational Control Problems with Curvilinear Integral Functionals
In this paper, we formulate and prove weak, strong and converse duality results in variational control problems involving ( ρ , b ) -quasiinvex path-independent curvilinear integral cost functionals.
Elena-Corina Cipu
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Path-integral dynamics of water using curvilinear centroids [PDF]
We develop a path-integral dynamics method for water that resembles centroid molecular dynamics (CMD), except that the centroids are averages of curvilinear, rather than Cartesian, bead coordinates. The curvilinear coordinates are used explicitly only when computing the potential of mean force, the components of which are re-expressed in terms of ...
George Trenins +2 more
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Boundary value problem for fractional diffusion equation in a curvilinear angle domain [PDF]
We consider a boundary value problem for the fractional diffusion equation in an angle domain with a curvilinear boundary. Existence and uniqueness theorems for solutions are proved. It is shown that Holder continuity of the curvilinear boundary
A.V. Pskhu +3 more
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On Robust Saddle-Point Criterion in Optimization Problems with Curvilinear Integral Functionals
In this paper, we introduce a new class of multi-dimensional robust optimization problems (named (P)) with mixed constraints implying second-order partial differential equations (PDEs) and inequations (PDIs).
Savin Treanţă, Koushik Das
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In this paper is considered the extreme problem of searching for the optimal quadrature formulas in S.M. Nikolskiy sense for approximate calculation of curvilinear integrals of first kind on the class of differentiable functions, the second gradient norm
K. Tukhliev
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Hydrodynamic Effects Produced by Submerged Breakwaters in a Coastal Area with a Curvilinear Shoreline [PDF]
A three-dimensional numerical study of the hydrodynamic effect produced by a system of submerged breakwaters in a coastal area with a curvilinear shoreline is proposed.
Francesco Gallerano +2 more
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A Nyström Method for 2D Linear Fredholm Integral Equations on Curvilinear Domains [PDF]
This paper is devoted to the numerical treatment of two-dimensional Fredholm integral equations, defined on general curvilinear domains of the plane. A Nyström method, based on a suitable Gauss-like cubature formula, recently proposed in the literature ...
Anna Lucia Laguardia, Maria Grazia Russo
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Integral theorems for the quaternionic G-monogenic mappings
In the paper [1] considered a new class of quaternionic mappings, so- called G-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and ...
Shpakivskyi V. S., Kuzmenko T. S.
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Analysis of variational inequalities with fractional curvilinear integral functionals
This study examines weak sharp solutions for a category of variational inequalities incorporating functionals based on fractional curvilinear integrals, expanding the conventional approach with concepts from fractional calculus. Furthermore, by using the
Octavian Postavaru +2 more
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Integral Equations of Curvilinear Convolution Type with Hypergeometric Function in a Kernel
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