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Implicit function theorem as a realization of the lagrange principle. Abnormal pointsA smooth non-linear map is studied in a neighbourhood of an abnormal (degenerate) point. Inverse
Maximal Functions and the Dirichlet Problem in the Class of m-convex Functions the Dirichlet Problem with a given continuous boundary function for strictly m-convex domains
D Rn. We prove
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
Semiclassical wormholes with a smooth throatWe propose a procedure for calculating heat kernel coefficients and use it to derive the expression
A minimization algorithm with approximation of an epigraph of the objective function and a constraint set iteration point is found by solving a linear programming problem independently of the type of functions
On a Class of A-Analytic FunctionsWe consider A-analytic functions in case when A is anti-holomorphic function. In paper for A
Алгоритм расчета выпукло-вогнутого контура площади сейсмической съемки criteria of points interrelations on a plane as preliminary defined lines sections, authors succeeded
Stability of a quartic functional equation)where n is a positive integer with N- { 0 , 1 , 2 , 3 , 4 }. The stability of this quartic functional
Hardy type inequalities with weights dependent on the bessel functions in domains with a finite inradius. The weight functions depend on the Bessel functions and Lamb’ s constants.
To the theory of operator monotone and operator convex functionsWe prove that a real function is operator monotone (operator convex) if the corresponding
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