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A model solution of the generalized langevin equation: Emergence and breaking of time-scale invariance in single-particle dynamics of liquids for the velocity autocorrelation function of a particle (atom, molecule) and of the time scale

Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive sourceWe consider an abstract Cauchy problem with non-linear operator coefficients and prove

An Adaptive Partial Linearization Method for Optimization Problems on Product Sets problems where the goal function is the sum of a smooth function and a non-necessary smooth convex

Three-phase eccentric annulus subjected to a potential field induced by arbitrary singularities interface. An exact analytical solution of the corresponding R{double-struck}-linear conjugation problem

Determination of the physical network of entanglements and the molecular mobility in linear flexible polymers by the NMR methodIn the present paper, a theory of free induction decay in linear flexible chain polymers

Linear Inequalities via Extension of Montgomery Identity and Weighted Hermite-Hadamard Inequalities with and without Green Functions. In this paper new linear inequalities are introduced via extension of Montgomery identity and weighted Hermite

Universal distribution function for the strongly-correlated fluctuations: General way for description of different random sequences function for the relative fluctuations (UDFRF). The analytical form of this function follows from

Commutativity of projections and characterization of traces on Von Neumann algebras in the class of all positive normal functionals. We obtain some characterization of a trace on von Neumann

On a method for studying the norm and the stability of solutions-value problems for nonautonomous linear and quasilinear systems of ODE with normal and "almost normal" matrices

A combined relaxation method for nonlinear variational inequalities, rather than one, nonlinear mappings and a nonsmooth convex function. We establish a convergence result

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