Wyniki wyszukiwania - BazTech

1

Uniqueness for a class p-Laplacian problems when a parameter is large

Alreshidi B., Hai D. D.

Opuscula Mathematica

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2024

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Vol. 44, no. 1

5--17

EN

We prove uniqueness of positive solutions for the problem−Δpu = λf(u) in Ω, u = 0 on ∂Ω, where 1 < p < 2 and p is close to 2, Ω is bounded domain in Rn with smooth boundary ∂Ω, f : [0,∞) → [0,∞) with f(z) ∼ zβ at ∞ for some β ∈ (0, 1), and λ is a large parameter. The monotonicity assumption on f is not required even for u large.

2

Local existence and uniqueness of regular solutions to a Landau-Lifshitz-Bloch equation with applied current

Ayouch Chahid, Tilioua Mouhcine

Journal of Applied Analysis

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2023

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Vol. 29, nr 1

113--122

EN

We prove via a Galerkin approximation the time local existence of regular solutions to a Landau-Lifshitz-Bloch equation with applied current in a bounded domain. The uniqueness of the solution is also established. Moreover, we show the global in time existence of a regular solution in dimension two.

3

Existence, uniqueness and parameter perturbation analysis results of a fractional integro-differential boundary problem

Zhang Nan, Zhang Lingling, Ngungu Mercy, Adeniji Adejimi, Addai Emmanuel

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2023

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Vol. 71, nr 4

art. no. e145938

EN

In the formulation, the existence, uniqueness and stability of solutions and parameter perturbation analysis to Riemann-Liouville fractional differential equations with integro-differential boundary conditions are discussed by the properties of Green’s function and cone theory. First, some theorems have been established from standard fixed point theorems in a proper Banach space to guarantee the existence and uniqueness of positive solution. Moreover, we discuss the Hyers-Ulam stability and parameter perturbation analysis, which examines the stability of solutions in the presence of small changes in the equation main parameters, that is, the derivative order η, the integral order β of the boundary condition, the boundary parameter ξ , and the boundary value τ. As an application, we present a concrete example to demonstrate the accuracy and usefulness of the proposed work. By using numerical simulation, we obtain the figure of unique solution and change trend figure of the unique solution with small disturbances to occur in different kinds of parameters.

4

Multi-tower systems of railroad water towers – uniqueness, relations and impacts in Kędzierzyn-Koźle and Kostrzyn on the Oder

Bosowski Wiktor

Przestrzeń i Forma

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2022

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nr 52

277--320

EN

The purpose of this article is an attempt to answer the question posed about the special value of railway water towers both as individual objects and as multi-tower complexes. In the course of research based on quantitative and qualitative methods, the research problem was considered in three variants, which are the impacts of towers on the environment, their mutual relations and relations resulting from the saturation of the city with towers. Modeling, statistics and case studies were used in the research, and the results made it possible to formulate answers to the studied problem or at least formulate preliminary hypotheses as a contribution to future research.

PL

Celem niniejszego artykułu jest próba odpowiedzi na stawiane pytanie o szczególną wartość kolejowych wież ciśnień zarówno jako pojedynczych obiektów oraz jako zespołów wielowieżowych. W toku badań opartych o metody ilościowe oraz jakościowe problem badawczy rozważano w trzech wariantach jakimi są oddziaływania wież na otoczenie, ich wzajemnych relacji oraz relacji wynikających z nasycenia miasta wieżami. Do badań posłużono się modelowaniem, statystyką oraz studiami przypadków, a rezultaty pozwoliły sformułować odpowiedzi na badany problem lub przynajmniej sformułować wstępne hipotezy jako przyczynek do przyszłych badań.

5

Uniqueness of solution of a nonlinear evolution dam problem in a heterogeneous porous medium

Ben Attia Messaouda, Zaouche Elmehdi, Bousselsal Mahmoud

Opuscula Mathematica

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2022

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Vol. 42, no. 1

5--29

EN

By choosing convenient test functions and using the method of doubling variables, we prove the uniqueness of the solution to a nonlinear evolution dam problem in an arbitrary heterogeneous porous medium of Rn (n ∈ {2, 3}) with an impermeable horizontal bottom.

6

Optimal control analysis of fascioliasis disease transmission dynamics

Ogunmiloro Oluwatayo Michael

Mathematica Applicanda

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2022

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Vol. 50, no. 2

267--285

EN

This paper involves the formulation of a non - linear optimal control model framework depicting fascioliasis disease transmission in the population of domestic ruminants only. The optimal control analysis is studied to investigate the effect of time-dependent preventive controls of treatment of worms in infected animals c1(t), hygiene compliance of separation/distancing of susceptible animals from infected environment sources c2(t) and sanitation of the environment c3(t). The positivity and boundedness of the model solutions are investigated, while the optimal control model solutions are shown to exist. The optimal control model is characterized using the Pontryagins Maximum Principle (PMP), which leads to the derivation of the optimality system. The optimal control model is solved using the forward - backward Runge - Kutta fourth order (RK4) sweep scheme via computational software MATLAB, where simulations reveal that each control is capable of reducing fascioliasis infection, but the combined implementation of the three control strategies are more effective in stemming the high rate of prevalence of the disease in the domestic animal population. Further simulations show that the preventive control profiles of c1(t), c2(t) and c3(t) are sustained for few months before reducing gradually to zero in the final time of 12 months.

PL

Fascjoloza jest ostrą pasożytniczą chorobą zakaźną u ludzi i domowych przeżuwaczy, zwłaszcza w krajach o słabym przestrzeganiu higieny, braku leczenia z robaczycy u zakażonych zwierząt i utrzymywaniu warunków sanitarnych środowiska. Niniejsza praca dotyczy sformułowania nieliniowego modelu optymalnego sterowania, ilustrująca przenoszenie fascjolozy przy założeniu ograniczenia do populacji domowych przeżuwaczy. Optymalne sterowanie jest badane w celu ustalenia wpływu zależnych od czasu prewencyjnych kontroli leczenia robaków u zakażonych zwierząt c1(t), przestrzegania higieny oddzielania/oddalania podatnych na zakażenie zwierząt od istniejących źródeł środowiskowych c2(t) i sanitacja środowiska c3(t). Zbadano dodatniość i ograniczoność rozwiązań modelowych oraz wykazano istnienie optymalnych sterowań w modelu kontrolnym. Optymalne sterowanie scharakteryzowano za pomocą zasady maksimum Pontryagina, która prowadzi do wyprowadzenia systemu warunków optymalności. Sterowania optymalne są uzyskane przy użyciu schematu czwartego rzędu Runge-Kutta. Obliczenia wykonano za pomocą oprogramowania MATLAB. Symulacje pokazują, że każde sterowanie jest w stanie zmniejszyć infekcję fascjolozą, ale połączone użycie trzech strategii sterowania jest bardziej skuteczne gdy mamy do czynienia z wysokim wskaźnikiem występowania choroby w populacji zwierząt domowych. Dalsze symulacje pokazują, że profile sterowań prewencyjnej c1(t), c2(t) i c3(t) utrzymują się przez kilka miesięcy, po czym stopniowo zmniejszają się do zera w końcowym okresie 12 miesięcy.

7

Numerical and theoretical analysis of an awareness COVID-19 epidemic model via generalized Atangana-Baleanu fractional derivative

Baba Isa Abdullahi, Ahmed Idris, Al-Mdallal Qasem M, Jarad Fahd, Yunusa Salisu

Journal of Applied Mathematics and Computational Mechanics

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2022

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Vol. 21, nr 1

7--18

EN

In this paper, a COVID-19 Awareness model in the setting of a generalized fractional Atangana-Baleanu derivative is proposed. The existence and uniqueness of a solution of the proposed fractional-order model are investigated under the techniques of fixed point theorems. In addition, we perform the predictor-corrector method to find its numeric solutions and present the graphs of the various solutions using different values of the parameters embodied in the derivative.

8

Uniqueness of the Riccati operator of the non-standard ARE of a third order dynamics with boundary control

Lasiecka Irena, Triggiani Roberto

Control and Cybernetics

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2022

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Vol. 51, No. 2

171--189

EN

TheMoore-Gibson-Thompson [MGT] dynamics is considered. This third order in time evolution arises within the context of acoustic wave propagation with applications in high frequency ultrasound technology. The optimal boundary feedback control is constructed in order to have on-line regulation. The above requires wellposedness of the associated Algebraic Riccati Equation. The paper by Lasiecka and Triggiani (2022) recently contributed a comprehensive study of the Optimal Control Problem for the MGT-third order dynamics with boundary control, over an infinite time-horizon. A critical missing point in such a study is the issue of uniqueness (within a specific class) of the corresponding highly non-standard Algebraic Riccati Equation. The present note resolves this problem in the positive, thus completing the study of Lasiecka and Triggiani (2022) with the final goal of having on line feedback control, which is also optimal.

9

On solvability of elliptic boundary value problems via global invertibility

Bełdziński Michał, Galewski Marek

Opuscula Mathematica

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2020

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Vol. 40, no. 1

37--47

EN

In this work we apply global invertibility result in order to examine the solvability of elliptic equations with both Neumann and Dirichlet boundary conditions.

10

A unique weak solution for a kind of coupled system of fractional Schrodinger equations

Abdolrazaghi Fatemeh, Razani Abdolrahman

Opuscula Mathematica

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2020

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Vol. 40, no. 3

313--322

EN

In this paper, we prove the existence of a unique weak solution for a class of fractional systems of Schrodinger equations by using the Minty-Browder theorem in the Cartesian space. To this aim, we need to impose some growth conditions to control the source functions with respect to dependent variables.

11

Existence and uniqueness of solutions for nonlinear Katugampola fractional differential equations

Basti Bilal, Arioua Yacine, Benhamidouche Nouredine

Journal of Mathematics and Applications

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2019

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Vol. 42

35--61

EN

The present paper deals with the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional differential equations with Katugampola fractional derivative. The main results are proved by means of Guo-Krasnoselskii and Banach fixed point theorems. For applications purposes, some examples are provided to demonstrate the usefulness of our main results.

12

Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative

Benchohra Mouffak, Bouriah Soufyane, Nieto Juan J.

Demonstratio Mathematica

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2019

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Vol. 52, nr 1

437--450

EN

In this paper, we establish the existence and uniqueness of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with Riemann-Liouville fractional derivative, also, the stability of this class of problem. The arguments are based upon the Banach contraction principle and Schaefer’s fixed point theorem. An example is included to show the applicability of our results.

13

Unikalny rys wnętrz

Koszela A.

Builder

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2017

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R.21, nr 11

38--40, 42

14

Solutions of fractional nabla difference equations - existence and uniqueness

Jonnalagadda J. M.

Opuscula Mathematica

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2016

|

Vol. 36, no. 2

215--238

EN

In this article, we discuss existence, uniqueness and dependency of solutions of nonlinear fractional nabla difference equations in a Banach space equipped with a suitable norm, using the contractive mapping approach. As an application of the established results we present and analyse a few examples.

15

On an open problem of Xiao-Bin Zhang and Jun-Feng Xu

Majumder S.

Demonstratio Mathematica

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2016

|

Vol. 49, nr 2

161--182

EN

The purpose of the paper is to study the uniqueness of meromorphic functions sharing a nonzero polynomial. The results of the paper improve and generalize the recent results due to X. B. Zhang and J. F. Xu [19]. We also solve an open problem as posed in the last section of [19].

16

Modeling and Analysis of the Motivations of Fast Fashion Consumers in Relation to Innovativeness

Saricam C., Erdumlu N.

Autex Research Journal

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2016

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Vol. 16, no. 4

205--213

EN

In this study, fast fashion concept is investigated in order to understand the motivations of the consumers that make them adopt these products because of their willingness for the innovativeness. The relationship between the motivational factors which were named as “Social or status image” and “Uniqueness” as expressions of individuality, “Conformity” and the willingness for “Innovativeness” is analyzed using a conceptual model. Exploratory factor analysis, confirmatory factor analysis and structural equation modeling were used to analyze and validate the model. The data used for the study was obtained from 244 people living in Turkey. The findings showed that the motivational factors “Social or status image” and “Uniqueness” as expressions of individuality are influential on the consumers’ willingness for “Innovativeness”.

17

Eliminating Switching Components in Binary Matrices by 0-1 Flips and Column Permutations

Hantos N., Balázs P.

Fundamenta Informaticae

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2015

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Vol. 141, nr 2/3

135--150

EN

Analysis of patterns in binary matrices plays a vital role in numerous applications of computer science. One of the most essential patterns of such matrices are the so called switching components, where the number and location of the components gives valuable information about the binary matrix. One way to measure the effect of switching components in a binary matrix is counting the number of 0-s which have to be replaced with 1-s in order to eliminate the switching components. However, finding the minimal number of 0-1 flips is generally an NP-complete problem. We present two novel-type heuristics for the above problem and show via experiments that they outperform the formerly proposed ones, both in optimality and in running time. We also show how to use those heuristics for determining the so-called nestedness level of a matrix, and how to use the flips for binary image compression.

18

On mild solutions of nonlocal second order semilinear functional integro-differential equations

Jain R. S., Dhakne M. B.

Fasciculi Mathematici

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2014

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Nr 53

65--75

EN

In the present paper, we investigate the existence, uniqueness and continuous dependence on initial data of mild solutions of second order nonlocal semilinear functional integro-differential equations of more general type with delay in Banach spaces. Our analysis is based on the theory of strongly continuous cosine family of operators and modified version of Banach contraction theorem.

19

A uniqueness result on meromorphic functions sharing two sets II

Banerjee A., Majumder S., Mukherjee S.

Fasciculi Mathematici

|

2014

|

Nr 53

17--30

EN

We employ the notion of weighted sharing of sets to deal with the well known question of Gross and obtain a unique-ness result on meromorphic functions sharing two sets which will improve an earlier result of Lahiri [15] and a recent one of Banerjee [2].

20

On some qualitative properties of mild solutions of nonlocal semilinear functional differential equations

Jain R. S., Dhakne M. B.

Demonstratio Mathematica

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2014

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Vol. 47, nr 4

854--865

EN

In the present paper, we investigate the qualitative properties such as existence, uniqueness and continuous dependence on initial data of mild solutions of first and second order nonlocal semilinear functional differential equations with delay in Banach spaces. Our analysis is based on semigroup theory and modified version of Banach contraction theorem.