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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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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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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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On Solvability of a Linear Parabolic Problem with Nonlocal Boundary Conditions
A linear parabolic equation with boundary conditions of the Bitsadze–Samarskii type is considered. An existence and uniqueness theorem for a...
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Solvability of Linear Differential Equations
AbstractWe propose a new approach to the solvability of ordinary as well as partial differential equations in the theory of linear differential...
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On the Solvability of Linear Differential Operators on Vector Bundles over a Manifold
AbstractA necessary and sufficient condition is established for the closedness of the range or surjectivity of a differential operator acting on...
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On the Solvability of an Essentially Nonlinear Elliptic Differential Equation with Nonlocal Boundary Conditions
AbstractSufficient conditions for the existence of a generalized solution to a nonlinear elliptic differential equation with nonlocal boundary...
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On the Solvability of a Periodic Problem for a System of Second-Order Nonlinear Ordinary Differential Equations
AbstractThe solvability of a periodic problem for a system of nonlinear second-order ordinary differential equations with a positively homogeneous...
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Characterization of unique solvability of absolute value equations: an overview, extensions, and future directions
This paper provides an overview of the necessary and sufficient conditions for guaranteeing the unique solvability of absolute value equations. In...
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Correction to: On the Unique Solvability of the Absolute Value Equation
In this note, we give the two counterexamples for two unique solvability conditions that appeared in the published paper by Wu et al. (J Optim Theory...
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Solvability of the Generalized Ionkin Problem for Differential Equations with Multiple Characteristics
We study the solvability of nonlocal spatial boundary value problems with generalized Samarskii–Ionkin condition. We prove the existence and...
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On the Solvability of Initial and Boundary Value Problems for Abstract Functional-Differential Euler–Poisson–Darboux Equations
AbstractIn a Banach space, we consider the Cauchy problem and the Dirichlet and Neumann boundary value problems for a functional-differential...
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On a Solvability to the Problem with Parameter for Differential-Algebraic Equations
AbstractA problem of solvability with parameter for a differential-algebraic equation is considered. For solving the problem is applied Weierstrass...
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Solvability of superlinear fractional parabolic equations
We study necessary conditions and sufficient conditions for the existence of local-in-time solutions of the Cauchy problem for superlinear fractional...
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Normal and Compact Solvability of the Exterior Derivation Operator in Orlicz Spaces
We study the normal and compact solvability of the operator of exterior derivation in Orlicz spaces of differential forms on compact Riemannian...
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Sufficient Conditions for Solvability of One Class of Neumann-Type Problems for the Polyharmonic Equation
AbstractThe solvability of one class of Neumann-type problems for the homogeneous polyharmonic equation in the unit ball is investigated. First,...
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Stochastic Navier–Stokes Variational Inequalities with Unilateral Boundary Conditions: Probabilistic Weak Solvability
We initiate the investigation of stochastic Navier–Stokes variational inequalities involving unilateral boundary conditions and nonlinear forcings...
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On the Solvability of Boundary Value Problems for an Abstract Singular Equations on a Finite Interval
AbstractSufficient conditions for the unique solvability of boundary value problems for a number of abstract singular equations that are formulated...