Circular Polarization of a γ-Quantum in the Radiative Decay H ⇒ ff ¯ γ . $$ H\Rightarrow \overline{ff}\upgamma . $$ Part I

Russian Physics Journal - The process of radiative decay of a Higgs boson into a fermion-antifermion pair $$ H\Rightarrow \overline{ff}\upgamma . $$ is investigated within the framework of the...     

Measurement of the Coupling Constant of the Higgs Boson with a tt ¯ $$ \overline{tt} $$ Heavy Quark Pair

Russian Physics Journal - The process of production of a Higgs boson HSM of the Standard Model (the H , h , and A bosons of the Minimal Supersymmetric Standard Model) and a $$ \overline{tt} $$...     

Approach to the Numerical Solution of Optimal Control Problems for Loaded Differential Equations with Nonlocal Conditions

Computational Mathematics and Mathematical Physics - An approach to the numerical solution of an optimal control problem described by systems of ordinary differential equations with point loading...     

Optimization of loading places and load response functions for stationary systems

The problem of optimizing loading places and corresponding load response functions with respect to objects described by systems of loaded ordinary differential equations is solved numerically. Analytical formulas for the gradient of the functional with respect to the optimized load parameters are derived to solve the problem by applying first-order numerical methods. Results of numerical experiments are presented. The approach proposed can also be used to optimize load parameters in distributed systems described by partial differential equations, which are reduced to the considered problem by applying the method of lines.     

A Variational Characterization of the Effective Yield Set for Ionic Polycrystals

The effective yield set of ionic polycrystals is characterized by means of variational principles in $L^\infty $ associated to supremal functionals acting on matrix-valued divergence-free fields.     

On Bernstein–Walsh-type lemmas in regions of the complex plane

Let G ì \mathbb C G \subset {\mathbb C} be a finite region bounded by a Jordan curve L: = ?G L: = \partial G , let W: = \textext[`(G)] \Omega : = {\text{ext}}\bar{G} (with respect to [`(\mathbb C)] {\overline {\mathbb C}} ), $ \Delta : = \left\{ {z:\left| z \right| > 1} \right\} $ \Delta : = \left\{ {z:\left| z \right| > 1} \right\} , and let w = F(z) w = \Phi (z) be a univalent conformal mapping of Ω onto Δ normalized by $ \Phi \left( \infty \right) = \infty, \;\Phi '\left( \infty \right) > 0 $ \Phi \left( \infty \right) = \infty, \;\Phi '\left( \infty \right) > 0 . By A _p (G); p > 0; we denote a class of functions f analytic in G and satisfying the condition

Laplace and Hua Luogeng Operators

We define holomorphic and pluri-harmonic functions in classical E. Cartan domains of the first type, and research Laplace and Hua Luogeng operators. We find a connection between these operators.     

Approximation of the Classes C β ψ $$ {C}_{\beta}^{\psi } $$ H�� By Biharmonic Poisson Integrals

Ukrainian Mathematical Journal - We study the problem of approximation of functions (ψ, β)-differentiable (in the Stepanets sense) whose (ψ, β)-derivative belongs to the class...     

Non-local Problem for the Loaded Integral-differential Equation in Double-connected Domain

In this work an existence and uniqueness of solution of the non-local boundary value problemfor the loaded elliptic-hyperbolic type equation with integral-differential operations in double-connected domain have been investigated. The uniqueness of solution is proved by the method of integral energy using an extremum principle for the mixed type equations, and the existence is proved by the method of integral equations.