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Sufficient and Necessary Conditions for the Generalized Distribution Series to be in Subclasses of Univalent Functions
We establish a relationship between the subclasses of univalent functions and generalized distribution series. The main aim of our investigation is...
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Necessary and Sufficient Conditions for the Density of Transmission Eigenvalues
In this work, the author studies the interior transmission eigenvalue problem, and describes the relationship between the density of transmission...
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The Pseudo-Hermitian Condition
The decomposition of pseudo-Hermitian matrices in terms of their eigenvalue and their eigenvectors is discussed. Firstly, biorthogonality is...
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A Terminal Condition in Linear Bond-pricing Under Symmetry Invariance
In this paper, we examine a general bond-pricing model with respect to its solutions that satisfy a given terminal condition. Firstly, we obtain...
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The Problem of Deformations of a Singular String with a Nonlinear Boundary Condition
AbstractWe study by variational methods a two-dimensional model of deformations of a Stieltjes string having localized interactions with the...
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Highly Smooth Zeroth-Order Methods for Solving Optimization Problems under the PL Condition
AbstractIn this paper, we study the black box optimization problem under the Polyak–Lojasiewicz (PL) condition, assuming that the objective function...
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Calculation of a Strong Resonance Condition in a Hamiltonian System
AbstractA method for symbolic computation of a condition of existence of a third- and fourth-order resonance for investigations of formal stability...
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A Double Phase Problem with a Nonlinear Boundary Condition
In this paper we prove the existence of solutions to a double phase problem with a prescribed nonlinear boundary condition which is nonlinear in...
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Mathematical Model of Flow Past a Sphere with Modified Boundary Slip Condition
AbstractThe problem of a slow Stokes flow past a sphere with modified slip condition on its surface is solved. The new boundary condition on the...
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The Shizuta-Kawashima Condition for the Barotropic SHTC Two Fluid Model
Recently the barotropic two fluid model belonging to the class of symmetric hyperbolic thermodynamically compatible (SHTC) systems was studied in...
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Tricomi Problem for Mixed Parabolic–Hyperbolic Equation with Higher Order Boundary Condition
In this paper, we study an analogue of Tricomi problem for a parabolic–hyperbolic equation. One boundary condition in the parabolic part of the...
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Initial–Boundary Value Problems for Homogeneous Parabolic Systems in a Semibounded Plane Domain and Complementarity Condition
AbstractWe consider initial–boundary value problems for homogeneous parabolic systems with coefficients satisfying the double Dini condition with...
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Direct and Inverse Initial Boundary Value Problems for Heat Equation with Non-Classical Boundary Condition
AbstractIn this paper we consider solvability of an initial boundary value problem for the heat equation with a dynamic type boundary condition....
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The nonhomogeneous boundary-value problems for the 1D-NLS equation with lineal boundary condition
In this paper, we study the initial-boundary-value problem for the cubic nonlinear Schrödinger equation, formulated on a half-line with different...
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Necessary Optimality Conditions for Second-Order Local Strict Efficiency for Constrained Nonsmooth Vector Equilibrium Problems
This paper is concerned with primal and dual second-order optimality conditions for the second-order strict efficiency of nonsmooth vector...
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Stability of Curvature-Dimension Condition for Negative Dimensions Under Concentration Topology
In this paper, we prove the stability of metric measure spaces satisfying the curvature-dimension condition for negative dimensions under the...