MATHEMATICS & COMPUTER SCIENCES

Notice: Use of undefined constant BSUJOF - assumed 'BSUJOF' in /var/www/public_html/bsuj/inc/journal.php on line 19
BSUJOF
MATHEMATICS & COMPUTER SCIENCES
ISSN: 3006-6484 (ONLINE);     

Cari buraxılış

Cari buraxılış: 2024, vol.1, issue 2


Cari məqalələr

BASIS PROPERTIES OF ROOT FUNCTIONS OF THE EIGENVALUE PROBLEM FOR THE EQUATION OF A VIBRATING BEAM WITH A SPECTRAL PARAMETER IN BOUNDARY CONDITIONS
Published: 28-Jun-2024Download PDF
Vuqar Mehrabov
Abstract
In this paper, we consider the eigenvalue problem for the equation of a vibrating beam with a spectral parameter contained in the boundary conditions. The general characteristics of the location of eigenvalues on the real axis are studied, the multiplicities of eigenvalues are found, and the oscillatory properties of the eigenfunctions of this spectral problem are investigated. Moreover, asymptotic formulas for the eigenvalues are obtained and sufficient conditions are established for the subsystems of root functions to form a basis in Lebesgue spaces.
ON THE LAW OF LARGE NUMBERS FOR THE OF MARKOV RANDOM WALKS DESCRIBED BY THE AUTOREGRESSIVE PROCESS AR(1)
Published: 26-Jun-2024Download PDF
Vuqar Khalilov; U. Mammadova
Abstract
In this paper is proved the law of large numbers for the Markov random walks, discribed by the first-order autoregressive process (AR(1)).
NODAL SOLUTIONS OF NONLINEAR STURM-LIOUVILLE PROBLEMS WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITION
Published: 12-Jun-2024Download PDF
Ziyatxan Aliyev; Kamala Rahimova
Abstract
This paper is devoted to the study of a nonlinear boundary value problem for the Sturm-Liouville equation with a parameter contained both in the equation and in the boundary condition. We show the existence of solutions to this problem with a fixed number of simple nodal zeros.
ON SOME ITERATIVE PROCESSES WITH RETURNED SEQUENSCES
Published: 05-Jun-2024Download PDF
Ali Akhmedov; Suleyman Baghirov
Abstract
In this paper we study the behaviour of the sequence of scalar ( real or complex) numbers satisfying the relation , where is a fixed sequence of scalar numbers. Such kind of sequences arise in problems of analysis, fixed point theory, dynamical sistems, theory of chaos and ets. For example, investigating the spectra of triple and more than triple band triangle operator-matrices arise above mentioned sequences which required to study the behaviour of these sequences. From the point of application, the proved results and formulas in the literature for the spectra of the operator-matrices look like very complicated. In this work for the eliminating of indicated flaws we apply new approach, where the formulas for the spectra for the generalized difference operator-matrices describe circular domains, and also we study problems describing the theory of natural processes.
EIGENVALUES AND EIGENFUNCTIONS OF A DIFFERENTIAL OPERATOR WITH INTEGRAL BOUNDARY CONDITIONS
Published: 06-Jun-2024Download PDF
Reyhan Taghiyeva
Abstract
In this work we study the second order differential operator with integral boundary conditions. Under weaker than previously known conditions on the functions asymptotic formulas for eigenvalues and Eigen functions are found functions, an estimate of the resolvent was obtained and theorem on completeness and minimality of eigenfunctions in some subspace of space codimension 2.
ON CONGRUENCE SCHEMES AND k-MAJORITY ALGEBRAS
Published: 04-Jun-2024Download PDF
Sevil Кazimova; Оktay Мamedov
Abstract
Using congruence schemes, we present a characterization of compatible reflexive relations for k-majority algebras (i.e. for algebras having k-ary near unanimity operation among its term operations, k≥3). For algebras in congruence n-permutable varieties we show that every binary (n-1)-pretransitive compatible relation is symmetric and we obtain some consequences for special types of relations.
ON A SOLVABILITY OF THE NONLINEAR INVERSE BOUNDARY VALUE PROBLEM FOR PSEUDO HYPERBOLIC EQUATION OF THE FOURTH ORDER
Published: 03-Jun-2024Download PDF
Yashar Mehraliyev; Afaq Huseynova; Kalyskan Matanova
Abstract
We study the classical solution of the nonlinear inverse boundary value problem for for pseudo hyperbolic equation of the fourth order The essence of the problem is that it is required together with the solution to determine the unknown coefficient. The problem is considered in a rectangular area. To solve the considered problem, the transition from the original inverse problem to some auxiliary inverse problem is carried out. The existence and uniqueness of a solution to the auxiliary problem are proved with the help of contracted mappings. Then the transition to the original inverse problem is made, as a result, a conclusion is made about the solvability of the original inverse problem.
SEMILINEAR HYPERBOLIC EQUATIONS WITH NONLINEAR ACOUSTIC CONDITION
Published: 03-Jun-2024Download PDF
Sevda Isayeva
Abstract
A mixed problem for nonlinear hyperbolic equations with nonlinear acoustic transmission condition is considered. The theorem on existence and uniqueness of solutions for this problem is proved by the semigroup method.
CONNECTIONS ON THE BUNDLE OF (0,2) TYPE TENSOR FRAMES
Published: 30-May-2024Download PDF
Habil Fattayev; Aytan Bashirli
Abstract
In this paper we consider the bundle of type tensor frames over a smooth manifold, define the horizontal and complete lifts of symmetric affine connection from a given manifold to this bundle. Also we investigate the properties of the geodesic lines corresponding to the complete lift of an affine connection and determine the relations between Sasaki metric and lifted connections on the bundle of type tensor frames.
GLOBAL BIFURCATION FROM INFINITY IN NONLINEARIZABLE DIRAC PROBLEMS WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITIONS
Published: 25-May-2024Download PDF
Nigar Aliyeva
Abstract
In this paper we consider global bifurcation from infinity in nonlinearizable Dirac problem with a spectral parameter contained in both boundary conditions. We prove the existence of two families of unbounded components of the set of nontrivial solutions to this problem, which bifurcate from asymptotic intervals and contained in classes of vector- functions possessing oscillatory properties of the eigenvector-functions of the corresponding linear Dirac problem in the neighborhood of these intervals.
SUBMIT MANUSCRIPT
Submit your manuscript and publish it with Baku State University Journals.
Submit >>
Jurnal seçimi
SIGN UP FOR EMAIL ALERTS
An email notification is an email sent to inform you about updates Baku State University Journals, like new issues, news, or scheduled events, etc.
Sign Up >>