Results 31 to 40 of about 220,764 (167)

On the solvability of the tracking problem in the optimization of the thermal process by moving point controls

Қарағанды университетінің хабаршысы. Математика сериясы, 2021
In the present article we investigate problems of tracking in the moving point control of thermal processes described by Fredholm integro-differential equations in partial derivatives with the Fredholm integral operator, in the case when the functions ...
A. Kerimbekov, A.T. Ermekbaeva, E. Seidakmat kyzy   +2 more
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A problem with nonlocal integral condition of the second kind for one-dimensional hyperbolic equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In this paper, we consider a problem for a one-dimensional hyperbolic equation with nonlocal integral condition of the second kind. Uniqueness and existence of a generalized solution are proved. In order to prove this statement we suggest a new approach.
Ludmila S Pulkina, Alesya E Savenkova
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Geodesics in the generalized Schwarzschild solution [PDF]

American Journal of Physics, 2004
Since Schwarzshild discovered the point-mass solution to Einstein’s equations that bears his name, many equivalent forms of the metric have been obtained. Using an elementary coordinate transformation, we derive the most general form for the stationary, spherically symmetric vacuum metric, which contains one free function.
Francis, Matthew R., Kosowsky, Arthur
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On a speed of solutions stabilization of the Cauchy problem for the Carleman equation with periodic initial data

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
This article explores a one-dimensional system of equations for the discrete model of a gas (Carleman system of equations). The Carleman system is the Boltzmann kinetic equation of a model one-dimensional gas consisting of two particles.
Sergey A Dukhnovskii
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General Automatic Solution Generation for Social Problems

Machine Intelligence Research
Given the escalating intricacy and multifaceted nature of contemporary social systems, manually generating solutions to address pertinent social issues has become a formidable task. In response to this challenge, the rapid development of artificial intelligence has spurred the exploration of computational methodologies aimed at automatically generating
Tong Niu, Haoyu Huang, Yu Du 0010, Weihao Zhang, Luping Shi, Rong Zhao   +5 more
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Generalized Rationing Problems and Solutions [PDF]

SSRN Electronic Journal, 2015
An extension of the standard rationing model is introduced. Agents are not only identified by their respective claims on some amount of a scarce resource, but also by some exogenous ex-ante conditions (initial stock of resource or net worth of agents, for instance), different from claims.
Timoner Lledó, Pere, Izquierdo Aznar, Josep Maria   +1 more
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Upper and lower absolutely continuous functions with applications to discontinuous differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2017
We use upper and lower absolutely continuous functions as subsolutions and supersolutions to discontinuous ordinary differential equations. We present sufficient conditions for the existence of extremal solutions to initial value problems. Due to a new
Krzysztof Topolski
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Solution of a generalized Stieltjes problem [PDF]

Journal of Physics A: Mathematical and General, 2001
We present the exact solution for a set of nonlinear algebraic equations $\frac{1}{z_l}= πd + \frac{2 d}{n} \sum_{m \neq l} \frac{1}{z_l-z_m}$. These were encountered by us in a recent study of the low energy spectrum of the Heisenberg ferromagnetic chain \cite{dhar}.
Shastry, BS, Dhar, Abhishek
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Optimality Conditions for Minimization Problem of Piecewise-Linear Functional in Optimization of the Oscillation Processes

MANAS: Journal of Engineering
In the article, the minimization problem is investigated of piecewise linear functional in non-linear optimization of oscillation processes described by Fredholm integro-differential equations.
Elmira Abdyldaeva, Omurbek Kalmamanov
doaj   +1 more source

Controllability of Semilinear Stochastic Generalized Systems in Hilbert Spaces by GE-Evolution Operator Method

Mathematics, 2023
Controllability is a basic problem in the study of stochastic generalized systems. Compared with ordinary stochastic systems, the structure of stochastic singular systems is more complex, and it is necessary to study the controllability of stochastic ...
Zhaoqiang Ge
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