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On Blow-up and Global Existence of Weak Solutions to Cauchy Problem for Some Nonlinear Equation of the Pseudoparabolic Type. The potential theory for the linear part of the equation is elaborated, which demands quite laborious technique

Local solvability and stability for the inverse Sturm-Liouville problem with polynomials in the boundary conditionsIn this paper, we for the first time prove local solvability and stability of the inverse

Second-Order Two-Sided Estimates in Nonlinear Elliptic Problems of the classical L2-coercivity theory for linear problems, which is missing in the existing literature. Both local

Local Solvability and Stability of an Inverse Spectral Problem for Higher-Order Differential OperatorsIn this paper, we, for the first time, prove the local solvability and stability of an inverse

A Class of Local Linear Estimators with Functional DataWe introduce a local linear nonparametric estimation for the generalized regression function of a

A locally directionally maximin test for a multidimensional parameter with order-restricted alternativesIn this paper we propose a locally directionally maximin test which is a generalization

On strichartz estimates in an abstract formClassical Strichartz type argument is applied for an abstract one- parameter set of linear

Potential Theory for a Nonlinear Equation of the Benjamin–Bona–Mahoney–Burgers TypeAbstract: For the linear part of a nonlinear equation related to the well-known Benjamin

Piecewise linear Lyapunov functions and the localization of spectrum of stable matricesThe relationship is found between the functions number of a piecewise linear Lyapunov function

Upper Estimate of Amount of Useful Learning Information in Local Recurrent Stochastic Recognition AlgorithmsUpper Estimate of Amount of Useful Learning Information in Local Recurrent Stochastic Recognition

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