Continuous model of Lotka-Volter’s on simplex Sm-1 is studied in the article. There was determined a
relationship between tournament and the system of differential square equation, that describes
evolution of genetic systems in Lotka-Volter’s model.
The article considers the graphical method of solving the modular equation depending on three parameters. Two functions are defined by the right and left sides of the equation. Using bounded and unbounded properties of defined functions, the existence conditions and the number of solutions of modular equation solutions depending on the parameters are shown. In addition, the questions about which values of the parameters of the considered modular equation has solution, and in which quadrants the graphs of the defined functions are located, have been fully answered.
Annotation. This article shows a method for solving two periodic solutions of second order differential equations with piecewise continuous constant arguments in the form x''(t)+px''(t-1)=qx([t])+f(t ), where [.]denotes the function of the largest integer, p and q are non-zero real numbers, and f(t) is a real-valued periodic function. In the article, firstly, the conditions for the existence of 2-periodic solutions of second-order differential equations are given, and then the solution of the problem is represented as a linear system of algebraic equations
In this paper, we proved the unique solvability of the local boundary value problem with the Frankl condition for a degenerating of mixed type equation with a fractional derivative
In this work an existence and uniqueness of solution of non-local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Riemann-Liouville fractional derivative have been investigated. The uniqueness of solution is proved by the method of integral energy and the existence is proved by the method of integral equations.
XXI asr - texnologiyalar asri hisoblanadi. Shunday ekan o‘quv jarayonida turli zamonaviy axborot vositalaridan o‘rinli foydalanish, kompyuterli ta’lim jarayonida darslarni o‘quvchi-talaba va kompyuter orasidagi munosabatlarga ko‘ra tashkil etish, boshqarish, nazorat qilish bugungi kunda dolzarb masalalardandir.Tabiiy fanlar hamda texnika fanlarida uchraydigan ko‘pgina masalalar differensial tenglamalarga keltiriladi,ya’ni ularning analitik yechimini topish nihoyatda murakkab masala,shu sababli taqribiy yechish usullaridan foydalanish ko‘proq samara beradi.Bunday muammolarni hal qilish uchun esa matematik paketlar mavjud bo‘lib,ushbu maqolada differensial tenglamalarni Maple dasturida yechish haqida gap boradi.Ya’ni, birinchi tartibli chiziqli oddiy differensial tenglamani Maple dasturida analitik yechimini topish dasturi tuzilib natija olingan.
In this paper, we study how basic systems of polynomial solutions of a differential equation of high order with mixed derivatives of a function of three variables are constructed using combinatorial methods
In this work, an initial boundary value problem is posed for the fractional order diffusion equation, and the posed problem is approximately reduced to a system of algebraic equations using the finite difference method. Using the Python software package, an approximate solution to the problem was found
The article is devoted to the development of a mathematical model of the process of geometric nonlinear deformation of thin magnetoelastic plates of a complex structural shape based on the Hamilton-Ostrogradsky variational principle, and conducting computational experiments. In this case, the three-dimensional mathematical model was transferred to a two-dimensional view using the Kirchhoff-Liav hypothesis. Cauchy's relationship, Hooke's law, Lawrence's force and Maxwell's electromagnetic tensor were used to determine kinetic and potential energy and work done by external forces. The effects of the electromagnetic field on the deformation stress state of the magnetoelastic plate were observed, as a result, a mathematical model was created in the form of a system of differential differential equations with initial and boundary conditions for displacement. To solve the equation, a calculation algorithm was developed using the R-function, Bubnov-Galerkin, Newmark, Gaussian, Gaussian squares, and Iteration number methods. Calculation experiments were carried out in various mechanical states of the magneto-elastic plate, its borders were tightly fixed, one side was hinged and the other side was free, and numerical results were obtained. A comparative analysis of the results of the calculations was presented.
This article describes the work carried out to improve the educational system and content of differential diagnosis of children with complex defects, a brief analysis of the educational opportunities of children with complex defects. Information about the work of medical workers and various specialists, educators is also provided.