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An investigation of smooth maps in a neighbourhood of an abnormal pointWe study the solubility of systems of non-linear equations in a neighbourhood of an abnormal point

On the potentiality of a class of operators relative to local bilinear forms1The inverse problem of the calculus of variations (IPCV) is solved for a second-order ordinary

The solution of the inverse problem in polarization CARS-spectroscopyAn analysis of the solution of the ill-posed inverse problem in polarization CARS is carried out

A Priori Estimates of the Conjugate Problem Describing an Axisymmetric Thermocapillary Motion for Small Marangoni Number mathematical point of view, the arising initial-boundary value problem is nonlinear and inverse. Under certain

Solution of n-phase ℝ-linear conjugation problem of confocal hyperbolas. We reduce this problem to the linear conjugation problem and solve the latter

On solvability conditions for a certain conjugation problemWe study a certain conjugation problem for a pair of elliptic pseudo-differential equations

Analytic solution of an ℝ-linear conjugation problem in the case of hyperbolic interfaceWe derive an explicit analytical solution for the conjugation problem in a heterogeneous infinite

On the convergence rate of an iterative method for the linearized navier-stokes equations of the implementation of Newton's method as applied to nonlinear problem is determined primarily by the efficiency

Partial Inverse Sturm-Liouville Problems inverse problems require less spectral data than complete inverse problems. In this review, we pay

Stability estimate for a semilinear elliptic inverse problemWe establish a logarithmic stability estimate for the inverse problem of determining the nonlinear

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