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The behavior of the solutions of the following system of difference equations is examined, [Formula Presented] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations.
Keyword: limit; Rational difference equation; solution; stability
In this paper is dedicated to the research of the problem of uniqueness and stability of solutions for linear integral Equations of the first kind with two variables. Here the operator generated by the kernels is not the compact operator.
The article is devoted to the study of uniqueness and stability of solutions of linear integral equations of the first kind with two independent variables. The relevance of the problem is due to the needs in development of new approaches for the regularization and uniqueness of the solution of linear integral equations of the first kind with two independent variables. Integral and operator equations of the first kind with two independent variables arise in theoretical and applied problems.Works of A.N. Tikhonov, M.M. Lavrentyev and B.K. Ivanov, in which a new concept of correctness of setting ...Более
In this work, we apply the method of integral transformation to prove uniqueness theorems for the new class of Fredholm linear integral equations of the first kind in the axis.
In this paper we are applying a new approach to prove the uniqueness and existence theorems for linear and nonlinear Fredholm integral equations of the third kind.
In this paper, we are applied a new approach to prove that the solution of the linear Fredholm operator equation of the third kind given on a segment and having a finite number of multipoint singularities is equivalent to the solution of the linear Fredholm operator equation of the second kind with additional conditions. We are showed an example of solving the system of linear integral Fredholm equations of the third kind based on the equivalence of the above equations.
The paper considers a triple complex system of tomato, water and sodium nitrate. Taking into account the average macronutrient composition and moisture content of field and greenhouse tomatoes, physicochemical modeling of the system was carried out tomato-water-sodium nitrate. The hydrogen index of tomato was determined at various temperatures and it was noted that tomato medium was acidic. It is shown that with an increase in the content of sodium nitrate in the system: tomato - water - sodium nitrate within the temperature range from 278 to 293 K, the hydrogen index of tomato increases, i.e. ...Более