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A Scheme for Calculating Solvability Sets “Up to Moment” in Linear Differential Games
A general scheme for calculating a solvability set (backward reachability set) is proposed for a linear conflict controlled system. The backward...
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Construction of the Time-Optimal Bounded Control for Linear Discrete-Time Systems Based on the Method of Superellipsoidal Approximation
AbstractThe speed-in-action problem for a linear discrete-time system with bounded control is considered. In the case of superellipsoidal constraints...
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The Solvability of Multidimensional Inverse Problems of a Memory Kernel Determination
For multidimensional inverse problems there are only special cases for which solvability is established. One of such classes of functions in which...
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Conditions of Solvability of the Problem Inverse to the Cauchy Problem for a Difference-Algebraic Equation
We establish conditions of solvability for the problem inverse to the Cauchy problem for a difference equation. In the case where the problem inverse...
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Subordination principle and approximation of fractional resolvents and applications to fractional evolution equations
This paper first analyzes and treats the subordination principle and the approximation of fractional resolvents, extending and perfecting the theory...
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Absolute Value Equations with Tensor Product Structure: Unique Solvability and Numerical Solution
We consider the absolute value equations (AVEs) with a certain tensor product structure. Two aspects of this kind of AVEs are discussed in detail:...
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Weak Solvability of the Nonlinearly Viscous Pavlovskii Model
AbstractThis paper is devoted to studying the solvability of one initial boundary value problem describing the motion of aqueous solutions of...
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Investigation of the Weak Solvability of One Fractional Model with Infinite Memory
AbstractIn this paper the weak solvability of one fractional model with infinite memory is investigated. The topological approximation method for...
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On Discrete Boundary-Value Problems and Their Approximation Properties
Discrete analogs of pseudo-differential operators and equations in discrete Sobolev–Slobodetsky spaces are considered. Using suitable discrete...
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Finite element approximation of invariant manifolds by the parameterization method
We combine the parameterization method for invariant manifolds with the finite element method for elliptic PDEs, to obtain a new computational...
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On the Weak Solvability of a Nonlocal Boundary Value Problem for the Laplace Equation in an Unbounded Domain
AbstractA nonlocal problem for the Laplace equation in an unbounded domain is considered. A weak solution of this problem is determined in weighted...
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Solvability conditions for nonlinear matrix equations
Conditions for the existence of solutions of nonlinear matrix equations have been found and a method of their construction has been proposed. As an...
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Conditions for the Solvability of the Problem Inverse to the Linear Autonomous Noether Boundary-Value Problem
Conditions for the solvability of the problem inverse to the linear autonomous Noether boundary-value problem for the system of ordinary differential...
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Unique Solvability of the Boundary-Value Problems for Nonlinear Fractional Functional Differential Equations
By using the Krasnoselskii theorem, we obtain general conditions for the unique solvability of boundaryvalue problems for (non)linear fractional...
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Adomian Decomposition Method in the Theory of Nonlinear Boundary-Value Problems
For the nonlinear periodic boundary-value problem posed for an ordinary differential equation in the critical and noncritical cases, we obtain...
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Adomian’s Decomposition Method in the Theory of Nonlinear Autonomous Boundary-Value Problems
For a nonlinear autonomous boundary-value problem posed for an ordinary differential equation in the critical case, we establish constructive...
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Unique Solvability and Non-uniqueness in the Problem of Forward Motion of Bodies in a Two-Layer Fluid
The classical ship-wave problem, describing forward motion of rigid bodies with a constant speed in an unbounded heavy fluid having a free surface,...
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Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation
The paper is devoted to the study of one class of problems with nonlocal conditions for a mixed diffusion-wave equation with two independent...