Contemporary Mathematics, Volume 3 Issue 4 (2022), 386-561



Open Access Article

Generalization of Tail Inequalities for Random Variables in the Martingale Theory

by Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota

ABSTRACT: We generalize the tail Doob's inequality, concerning two non-negative random variables, arising in the martingale theory, in three directions: on the more general source data, on the random...

Open Access Article

A Jordan-Schur Algorithm for Solving Sylvester and Lyapunov Matrix Equations

by P. H. Petkov

ABSTRACT: This paper presents a version of the Bartels-Stewart algorithm for solving the Sylvester and Lyapunov equations that utilizes the Jordan-Schur form of the equation matrices. The Jordan-Schur form...

Open Access Article

Adaptive Identification of System with Bouc-Wen Hysteresis Modifications

by Nikolay Karabutov

ABSTRACT: The adaptive identification method developed to evaluate the parameters of the Bouc-Wen hysteresis (BWH). The adaptive approach based on the use of adaptive observer. We synthesize adaptive...

Open Access Article

On the Classical Solutions for the Kuramoto-Sivashinsky Equation with Ehrilch-Schwoebel Effects

by Giuseppe Maria Coclite, Lorenzo Di Ruvo

ABSTRACT: The Kuramoto-Sivashinsky equation with Ehrilch-Schwoebel effects models the evolution of surface morphology during Molecular Beam Epitaxy growth, provoked by an interplay between deposition of...

Open Access Article

Freudenthal Suspension Theorem And James-Hopf Invariant of Spheres

by Marek Golasiński

ABSTRACT: This paper relates more precisely the image of the suspension map Σ: π 2 n + k (S n ) → π 2 n + k +1 (S n +1 ) with the kernel of James-Hopf invariant h 2 : π 2 n + k +1 (S n +1 ) → π...

Open Access Article

Geodesic Triangles in H² with Short Sides

by Rita Gitik

ABSTRACT: We prove that if M is an orientable hyperbolic surface without boundary (possibly compact, possibly with infinitely generated fundamental group) and  γ  is a closed geodesic in M then any side...

Open Access Article

Algebraic Method for Approximate Solution of Scattering of Surface Waves by Thin Vertical Barrier Over a Stepped Bottom Topography

by Naveen Kumar, Deepali Goyal, S. C. Martha

ABSTRACT: A study on interaction of surface water waves by thin vertical rigid barrier over a step type bottom topography is analysed. The associated mixed boundary value problem is solved using the...

Open Access Article

The Existence of Solution to Fractional Boundary Value Problem with Riemann-Liouville Type History-State-Based Variable-Order Derivative

by Shuqin Zhang, Jie Wang

ABSTRACT: The paper is devoted to studying the solutions of boundary value problem for nonlinear fractional differential equation with Riemann-Liouville type history-state-based variable-order derivative....

Open Access Article

Moving Averages that Preserve the Monotonicity of Quotients

by Ricardo Estrada

ABSTRACT: There are operators that have the property that when applied to both the numerator and the denominator of a monotonic quotient of functions or sequences produce another monotonic quotient. Such...