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Behavior of Trajectories of a Quadratic Operator
AbstractWe consider a two-parametric quadratic stochastic operator (QSO) map** 3-dimensional simplex to itself. To date, for very few QSOs complete...
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Dynamical System of a Quadratic Stochastic Operator with Two Discontinuity Points
AbstractWe consider a population consisting of two species whose dynamics is determined by a quadratic stochastic operator with variable...
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Pseudo-differential operator associated with quadratic-phase Fourier transform
The main goal of this paper is to study the pseudo-differential operator involving quadratic-phase Fourier transform (QPFT) and its integral...
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Periodic and Regular Trajectories of Non-Volterra Quadratic Stochastic Operators
AbstractWe consider a five-parameter family of non-Volterra quadratic operators defined on the two-dimensional simplex and study their trajectory...
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Volterra-Type Quadratic Stochastic Operators with a Homogeneous Tournament
As is known [3], each quadratic stochastic operator of Volterra type acting on a finite-dimensional simplex defines a certain tournament, the...
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Markovian Quadratic BSDEs with an Unbounded Sub-quadratic Growth
This paper is devoted to the solvability of Markovian quadratic backward s-tochastic differential equations (BSDEs for short) with bounded terminal...
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A Convex Combination of Two Quadratic Stochastic Operators Acting in the 2D Simplex
AbstractIn this paper, we consider a quadratic operator on the two-dimensional simplex, which is a convex combination of two quadratic stochastic...
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Stable Solution of a Quadratic Minimization Problem with a Nonuniformly Perturbed Operator by Applying a Regularized Gradient Method
AbstractA regularized gradient method is proposed for stable solution of a quadratic minimization problem under nonconventional information...
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Quadratic Forms and Spectral Estimates
The goal of this Chapter is to provide a systematic study of quadratic forms associated with Schrödinger operators on metric graphs.
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Linear Quadratic Optimal Control for Systems Governed by First-Order Hyperbolic Partial Differential Equations
This paper focuses on linear-quadratic (LQ) optimal control for a class of systems governed by first-order hyperbolic partial differential equations...
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Remarks on the quadratic orthogonal bisectional curvature
We exhibit a curious link between the Quadratic Orthogonal Bisectional Curvature, combinatorics, and distance geometry. The Weitzenböck curvature...
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Dynamics of Quadratic Operators of Idempotent Measures
AbstractWe study dynamical systems generated by some quadratic operators, map** the simplex of idempotent measures to itself. The types of fixed...
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Applications of Quadratic Stochastic Operators to Nonlinear Consensus Problems
Historically, an idea of reaching consensus through repeated averaging was introduced by DeGroot for a structured time-invariant and synchronous...
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Operator Splitting
In mathematics, a common approach to solving a new problem is to break down the problem into sub-problems that you know how to solve and then try to...
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Matrix and Operator Equations and Applications
This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and...
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A Quadratic Worm Propagation Model
In the present paper, we consider a discrete time network worm propagation model generated by a non-Volterra quadratic stochastic operator. We...
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On Dynamical Systems of Quadratic Stochastic Operators Constructed for Bisexual Populations
AbstractFor two classes of bisexual populations, we give a constructive description of quadratic stochastic operators which act to the Cartesian...
