Unique Solvability of the Three-Dimensional Inverse Problem of Electromagnetic Sounding
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DOI: 10.1007/s10598-018-9417-2
Abstract: The article considers a three-dimensional inverse problem to determine the conductivity distribution in a three-dimensional body embedded in a layered conducting medium. A uniqueness theorem is proved for the class of layered bodies with finitely… read more here.
Keywords: three dimensional; dimensional inverse; inverse problem; unique solvability ... See more keywords
On the Unique Solvability of the Boundary-Value Problems for Fredholm Integrodifferential Equations with Degenerate Kernel
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DOI: 10.1007/s10958-016-3194-2
Abstract: We study a linear boundary-value problem for systems of Fredholm integrodifferential equations with degenerate kernels and present the definition of ν-regular partition of the interval. The coefficient necessary and sufficient conditions for the unique solvability… read more here.
Keywords: integrodifferential equations; unique solvability; boundary value; fredholm integrodifferential ... See more keywords
On the Unique Solvability of a Nonlinear Nonlocal Boundary-Value Problem for Systems of Second-Order Functional Differential Equations
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DOI: 10.1007/s10958-017-3352-1
Abstract: We establish some optimal, in a certain sense, general conditions sufficient for the unique solvability of the boundary-value problem for a system of nonlinear second-order functional differential equations. The considered class of equations covers, in… read more here.
Keywords: order functional; second order; value problem; boundary value ... See more keywords
Unique solvability and stability analysis for incompressible smoothed particle hydrodynamics method
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DOI: 10.1007/s40571-018-0214-7
Abstract: The incompressible smoothed particle hydrodynamics (ISPH) method is a numerical method widely used for accurately and efficiently solving flow problems with free surface effects. However, to date there has been little mathematical investigation of properties… read more here.
Keywords: hydrodynamics; particle; unique solvability; stability ... See more keywords
On unique solvability of a Dirichlet problem with nonlinearity depending on the derivative
Sign Up to like & getrecommendations! Published in 2019 at "Opuscula Mathematica"
DOI: 10.7494/opmath.2019.39.2.131
Abstract: In this work we consider second order Dirichelet boundary value problem with nonlinearity depending on the derivative. Using a global diffeomorphism theorem we propose a new variational approach leading to the existence and uniqueness result… read more here.
Keywords: unique solvability; depending derivative; problem nonlinearity; nonlinearity depending ... See more keywords