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The Riemann Problem in a Half-Plane for Generalized Analytic Functions with a Supersingular Point on the Contour of the Boundary Condition
AbstractIn this paper, we study an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis for a...
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Localizing the Initial Condition for Solutions of the Cauchy Problem for the Heat Equation
AbstractThe Cauchy problem for the heat equation with zero right-hand side is considered. The initial function is assumed to belong to the space of...
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Vallée-Poussin theorem for fractional functional differential equations with integral boundary condition
This research paper focuses on the study of a Riemann-Liouville fractional functional differential equation and a linear continuous operator acting...
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Conditional Cost Function and Necessary Optimality Conditions for Infinite Horizon Optimal Control Problems
AbstractAn infinite horizon optimal control problem with general endpoint constraints is reduced to a family of standard problems on finite time...
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The Hajłasz Capacity Density Condition is Self-improving
We prove a self-improvement property of a capacity density condition for a nonlocal Hajłasz gradient in complete geodesic spaces with a doubling...
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Pointwise Second-Order Necessary Conditions for Stochastic Optimal Control with Jump Diffusions
In this paper, we establish a second-order necessary conditions for stochastic optimal control for jump diffusions. The controlled system is...
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Regularity and Optimality Necessary Conditions for System of G-Stochastic Differential Equations
AbstractIn the current paper, we deal with a system of G-stochastic differential equations (G-SDEs in short) driven by G-Brownian motion. Under some...
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Obstacle Problems with Double Boundary Condition for Least Gradient Functions in Metric Measure Spaces
In the setting of a metric space equipped with a doubling measure supporting a (1, 1)-Poincaré inequality, we study the problem of minimizing the...
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Boundary Layer Solution of the Boltzmann Equation for Specular Boundary Condition
In the paper, we establish the existence of steady boundary layer solution of Boltzmann equation with specular boundary condition in L
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Averaging principle for stochastic Caputo fractional differential equations with non-Lipschitz condition
In this paper, the averaging principle for stochastic Caputo fractional differential equations (SCFDEs) with the nonlinear terms satisfying the...
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Singular quadratic eigenvalue problems: linearization and weak condition numbers
The numerical solution of singular eigenvalue problems is complicated by the fact that small perturbations of the coefficients may have an...
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Inverse Source Problem for the Subdiffusion Equation on a Metric Star Graph with Integral Overdetermination Condition
AbstractIn this article, it is investigated the inverse source problem for the subdiffusion equation on the metric star graph in Sobolev space with...
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Criteria for the Strong Ellipticity Condition of a Partially Symmetric Tensor
Strong ellipticity condition of the equilibrium equations for general nonlinear elastic materials plays a significant role in the theory of...
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Density of Zeros of the Cartwright Class Functions and the Helson–Szegő Type Condition
AbstractB. Ya. Levin has proved that the zero set of a sine type function can be represented as a union of finitely many separated sets, which is...