Open Access
Articles
Article ID: 2548
by Jitendra Panchal, Falguni Acharya, Kanan Joshi, Vikas Vashisth
Advances in Differential Equations and Control Processes, Vol.27, No., 2022;
The ensuing study analyzes the trend of disinformation appertaining to the coronavirus pandemic on social media platforms through mathematical modeling. We introduce a new SEHIR model with an additional compartment of people not reacting instantly or at all to the disinformation called hibernators, to obtain more clarity on the pattern of spread of fake news. The stability analyses of the prevalence free equilibrium have been provided in terms of basic reproduction number, and the existence and uniqueness of the solution have been proved using the fixed-point technique. Furthermore, we conduct a numerical simulation using an experimental survey. The findings are graphically depicted to show different scenarios for social media users across compartments.
Open Access
Articles
Article ID: 2549
by Naoto Kajiwara
Advances in Differential Equations and Control Processes, Vol.27, No., 2022;
In this paper, we prove higher regularity for 2mth order parabolic equations with general boundary conditions. This is a kind of maximal Lp-Lq regularity with differentiability, i.e., the main theorem is isomorphism between the solution space and the data space using Besov and Triebel-Lizorkin spaces. The key is compatibility condition for the initial data. As a corollary, we are able to get a unique smooth solution if the data satisfying compatibility conditions are smooth.
Open Access
Articles
Article ID: 2550
by Salisu Ibrahim
Advances in Differential Equations and Control Processes, Vol.27, No., 2022;
This paper presents the commutativity of high-order linear time-varying systems (LTVSs). Explicit conditions for the commutativity of high-order LTVSs are derived. The feedback conjugate pairs for high-order LTVSs are considered. The effects of sensitivity and disturbance on sixth-order LTVSs have been investigated. Example is given to support the results.
Open Access
Articles
Article ID: 2551
by Smol’yakov EduardRimovich
Advances in Differential Equations and Control Processes, Vol.27, No., 2022;
The paper offers the full theoretical basis of “extremal theory of dimensions”. This simple theory, using only the notion “singular extremum” on the set of dimensional physical parameters, permits to find unknown laws of nature and very complex differential equations including many arbitrary additive terms. Note that almost all known equations of physics and their some generalizations already were found in the framework of this theory.
Open Access
Articles
Article ID: 2552
by Surbhi Madan, Ritu Arora, Poonam Garg, Dhiraj KumarSingh
Advances in Differential Equations and Control Processes, Vol.27, No., 2022;
In this paper, we have discussed the impact of Coronavirus variants in a phase of 2021-22 along with a previous phase of 2020-21 in Italy. We analyse and compare the Covid-19 scenario in Italy for the period from October 04, 2020 to January 16, 2021 with a period from October 04, 2021 to January 16, 2022. For this study, we have used repeated multi-step differential transform method (RMsDTM). Also, we have predicted the number of active cases for 10 days following the period of study.
Open Access
Articles
Article ID: 2553
by Abir Benyoucef, Leila Alem, Lahcène Chorfi
Advances in Differential Equations and Control Processes, Vol.27, No., 2022;
This paper concerns an inverse problem which consists in determining two coefficients b and c in the equation -b(x)u"+c(x)u'= f,x ∈]0,1[, knowing the solution function u and the right-hand side function f.The questions of uniqueness and stability are investigated. This problem is solved by using the nonlinear least squares method. We present some numerical examples to illustrate our algorithm.
Open Access
Articles
Article ID: 2554
by N. Mabrouk, H. Berriche
Advances in Differential Equations and Control Processes, Vol.27, No., 2022;
We present a study of an Ab initio quantum chemistry of alkaline earth rare gas system (BeHe)molecule. Our study is based on the use of pseudopotential techniques and core polarization potentials. Our system is handled with two active valence electrons taking interest of the zero pseudopotential approach for He. We determine the potential energy curves of 24 states of 1,3∑+, 1,3ΠIand 1,3△symmetries, and their spectroscopic parameters (Re, De, we, wexenTe and Be), and obtain a good agreement with available works. However, many excited states for BeHe are treated for the first time. The transition and permanent dipole moments curves are determined for the 1,3∑+states of the BeHe in a large range of R.
Open Access
Articles
Article ID: 2555
by T. D.Omurov, A. M.Alybaev
Advances in Differential Equations and Control Processes, Vol.27, No., 2022;
In this paper, we study a system of the first kind Volterra incorrect integral equations. On the basis of the developed method of asymptotic nature with a singular function with respect to a small parameter, the regularizability and uniqueness of the solution of the original system in the introduced space are proved.
Open Access
Articles
Article ID: 2556
by J. Venetis
Advances in Differential Equations and Control Processes, Vol.27, No., 2022;
The paper presents a mathematical formulation of an incompressible two-dimensional groundwater creeping flow past a fully constrained impermeable obstacle. The physical boundary of this obstacle is modeled as a smooth surface having negligible roughness. Referring to the impact of boundary roughness, it is known that from Hydrodynamics point of view, a solid surface is called “smooth” when the average depth of the surface irregularities is less than the thickness of the laminar sublayer over the surface. In this framework, a theoretical evaluation of the piezometric head is exhibited and concurrently the position of velocity distribution local extrema is determined.
Open Access
Articles
Article ID: 2557
by V. A.Rusanov, A. V.Lakeyev, A. V.Daneev, Yu. É.Linke
Advances in Differential Equations and Control Processes, Vol.27, No., 2022;
Such qualitative issues which bound up with existence of a solution for the inverse problem of systems analysis as realization solvability (sufficient conditions) of the operator functions of the polylinear regulator for a non-stationary hyperbolic system, which contains given (finite/countable/continual) nonlinear bundles of infinite-dimensional controlled dynamic processes in the capacity of admissible solutions in a separable Hilbert space, are investigated.
Open Access
Articles
Article ID: 2558
by Qiaobin Fu, Yongqiang Fu
Advances in Differential Equations and Control Processes, Vol.27, No., 2022;
In this paper, a class of nonlocal stochastic control systems with Brownian motions and Poisson jumps is under consideration. In the setting of suitable function spaces and under certain assumptions, the finite-approximate controllability is discussed by means of variational method. After providing some properties of the variational functional, we use Schauder Fixed Point Theorem to obtain the existence of mild solutions. Finally, the finite-approximate controllability of the systems is concluded.
Prof. Dr. Ji-Huan He
Soochow University, China
Excellence in Research for Australia (ERA Journal ID: 41584)
Elektronische Zeitschriftenbibliothek (EDB-Number: 2424167-2)
Eurasian Scientific Journal Index
Scilit Database (Switzerland)
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