Results 1 to 10 of about 1,145 (256)
On the Unique Solvability of Inverse Problems of Magnetometry and Gravimetry
Mathematics, 2023 This article deals with the question of the unique solvability of systems of linear algebraic equations, to the solution of which many inverse problems of geophysics are reduced as a result of discretization when applying the methods of integral ...
I E Stepanova +2 more
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On unique solvability of the piecewise linear equation system
Journal of Numerical Analysis and Approximation Theory, 2022 In this article, we take the piecewise linear equation system \(x-W|x|=b\), which is also known by absolute value equation, where \(W\in {\mathbb R}^ {n\times n}\), \(b\in {\mathbb R}^{n}\) are given and to undetermined the value of \(x\in {\mathbb R ...
Shubham Kumar, Deepmala
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Fractal and Fractional, 2023 Contrary to the initial-value problem for ordinary differential equations, where the classical theory of establishing the exact unique solvability conditions exists, the situation with the initial-value problem for linear functional differential ...
Natalia Dilna
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Unique Solvability of a Coupling Problem for Entire Functions [PDF]
Constructive Approximation, 2017 We establish the unique solvability of a coupling problem for entire functions which arises in inverse spectral theory for singular second order ordinary differential equations/two-dimensional first order systems and is also of relevance for the integration of certain nonlinear wave equations.
Jonathan Eckhardt, Eckhardt Jonathan
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On the unique constructive solvability of Hammerstein equations
Electronic Journal of Differential Equations, 2002 We study the unique constructive solvability of Hammerstein operator equation in Banach spaces using iterative and projection like methods. Some error estimates are also given.
Petronije S. Milojevic
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The unique solvability conditions for a new class of absolute value equation [PDF]
Yugoslav Journal of Operations Research, 2023 In this article, we investigate the solution of a new class of the absolute value equation (NCAVE) A1x − |B1x − c| = d. Based on spectral radius condition, singular value condition and row and column W-property, some necessary and sufficient conditions ...
Kumar Shubham, Deepmala
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 Sharp conditions are obtained for the unique solvability of focal boundary value problems for higher-order functional differential equations under integral restrictions on functional operators.
Eugene Bravyi
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Global Uniqueness and Solvability for Tensor Complementarity Problems [PDF]
Journal of Optimization Theory and Applications, 2016 Recently, the tensor complementarity problem (TCP for short) has been investigated in the literature. An important question involving the property of global uniqueness and solvability (GUS-property) for a class of TCPs was proposed by Song and Qi in their paper "Properties of Some Classes of Structured Tensors".
Xue-Li Bai +2 more
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Degenerate Multi-Term Equations with Gerasimov–Caputo Derivatives in the Sectorial Case
Mathematics, 2022 The unique solvability for the Cauchy problem in a class of degenerate multi-term linear equations with Gerasimov–Caputo derivatives in a Banach space is investigated.
Vladimir E. Fedorov, Kseniya V. Boyko
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 Systems of two linear functional differential equations of the first order with regular operators are considered. General necessary and sufficient conditions for the unique solvability of the periodic problem are obtained.
Eugene Bravyi
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