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Czasopisma help
  1. 11 Opuscula Mathematica
  2. 5 Demonstratio Mathematica
  3. 3 Annales Polonici Mathematici
  4. 3 Cognitive Studies
  5. 3 Commentationes Mathematicae
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  1. 1 2024
  2. 2 2023
  3. 5 2022
  4. 3 2021
  5. 2 2020
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  1. 3 Banerjee A.
  2. 3 Benchohra M.
  3. 2 Basti B.
  4. 2 Czernous W.
  5. 2 Dhakne M. B.
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1
Content available Uniqueness of the Riccati operator of the non-standard ARE of a third order dynamics with boundary control
100%
Lasiecka I. , Triggiani R.
Control and Cybernetics
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2022
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tom 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.
2
Content available Classical and weak solutions for semilinear parabolic equations with Preisach hysteresis
100%
Jais M.
Opuscula Mathematica
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2008
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tom Vol. 28, no. 1
47-62
EN
We consider the solvability of the semilinear parabolic differential equation [formula] in a cylinder D = Ω x (0, T), where Ρ is a hysteresis operator of Preisach type. We show that the corresponding initial boundary value problems have unique classical solutions. We further show that using this existence and uniqueness result, one can determine the properties of the Preisach operator Ρ from overdetermined boundary data.
3
Content available Boundary value problems for second order delay differential equations
100%
Skóra L.
Opuscula Mathematica
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2012
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tom Vol. 32, no. 3
551-558
EN
We present some existence and uniqueness result for a boundary value problem for functional differential equations of second order.
4
Content available Uniqueness for a class p-Laplacian problems when a parameter is large
100%
Alreshidi B. , Hai D. D.
Opuscula Mathematica
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2024
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tom 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.
5
Notes on uniqueness of meromorphic functions
100%
Lü W. , Cao J.
Journal of Applied Analysis
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2006
|
tom Vol. 12, nr 2
259-265
EN
In this paper, we study the problem of uniqueness on meromorphic functions involving in differential polynomials and obtain some results which extend and improve the theorems of M. Fang and W. Hong et al.
6
Content available remote On the uniqueness of viscosity solutions for first order partial differential-functional equations
100%
Topolski K.
Annales Polonici Mathematici
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1994
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tom 59
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nr 1
65-75
EN
We consider viscosity solutions for first order differential-functional equations. Uniqueness theorems for initial, mixed, and boundary value problems are presented. Our theorems include some results for generalized ("almost everywhere") solutions.
7
Content available remote A uniqueness result on meromorphic functions sharing two sets II
100%
Banerjee A. , Majumder S. , Mukherjee S.
Fasciculi Mathematici
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2014
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tom 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].
8
Content available On Uniqueness of Meromorphic Functions Sharing Three Sets with Finite Weights
100%
Banerjee A. , Ahamed M. B.
Bulletin of the Polish Academy of Sciences. Mathematics
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2014
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tom Vol. 62, no. 3
243--256
EN
We prove the uniqueness of meromorphic functions sharing some three sets with finite weights.
9
Content available A unique weak solution for a kind of coupled system of fractional Schrodinger equations
100%
Abdolrazaghi F. , Razani A.
Opuscula Mathematica
|
2020
|
tom 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.
10
Local existence and uniqueness of regular solutions to a Landau-Lifshitz-Bloch equation with applied current
100%
Ayouch C. , Tilioua M.
Journal of Applied Analysis
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2023
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tom 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.
11
Lexical NP and VP quantifiers in Bulgarian
100%
Kalpakchieva K.
Cognitive Studies
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2011
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nr 11
EN
Lexical NP and VP quantifiers in BulgarianThe paper focuses on uniqueness, existential and universal quantification within the Bulgarian noun and verb phrase. Quantifiers scope is considered with respect to whether the quantifiers are used alone or in a group with other expressions. Another factor that affects the strength of quantifiers is the expression’s containing additional specifying functions or setting some circumstance or condition. Quantifiers within the verb phrase are particularly strongly affected by other conditions, while quantifiers within the subject NP have a broad scope and are not affected by the additional conditions of the situation described.
12
Content available remote Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points
100%
Lahiri I.
Annales Polonici Mathematici
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1999
|
tom 71
|
nr 2
113-128
EN
We prove a uniqueness theorem for meromorphic functions involving linear differential polynomials generated by them. As consequences of the main result we improve some previous results.
13
Alienation in Caryl Churchill’s a Number
100%
Anghel F.
Romanian Journal of English Studies
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2012
|
tom 9
|
nr 1
154-165
EN
Caryl Churchill’s play A Number echoes the author’s attitude towards scientific evolution, having as a result cloning, and its impact on social and moral values and relationships. The paper will focus on identitary problems raised by cloning, on the clash between uniqueness and seriality, on the confusion arising from opportunities and unexpected effects.
14
Content available On solvability of elliptic boundary value problems via global invertibility
88%
Bełdziński M. , Galewski M.
Opuscula Mathematica
|
2020
|
tom 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.
15
Content available Uniqueness of solution of a nonlinear evolution dam problem in a heterogeneous porous medium
88%
Ben Attia M. , Zaouche E. , Bousselsal M.
Opuscula Mathematica
|
2022
|
tom 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.
16
Content available Random integral equations on time scales
88%
Lupulescu V. , Lungan C.
Opuscula Mathematica
|
2013
|
tom Vol. 33, no. 2
323--335
EN
In this paper, we present the existence and uniqueness of random solution of a random integral equation of Volterra type on time scales. We also study the asymptotic properties of the unique random solution.
17
Content available Existence and uniqueness results for fractional differential equations with boundary value conditions
88%
Lv L. , Wang J. , Wei W.
Opuscula Mathematica
|
2011
|
tom Vol. 31, no. 4
629-643
EN
In this paper, we study the existence and uniqueness of fractional differential equations with boundary value conditions. A new generalized singular type Gronwall inequality is given to obtain important a priori bounds. Existence and uniqueness results of solutions are established by virtue of fractional calculus and fixed point method under some weak conditions. An example is given to illustrate the results.
18
Content available remote Generalized solutions of first order partial differential functional inequalities
88%
Czernous W.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
2006
|
tom Vol. 46, [Z] 1
25-36
EN
The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.
19
Content available Generalized solutions of first order partial differential functional inequalities
88%
Czernous W.
Commentationes Mathematicae
|
2006
|
tom 46
|
nr 1
EN
The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.
20
Content available Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments
88%
Ntouyas S. K. , Wang G. , Zhang L.
Opuscula Mathematica
|
2011
|
tom Vol. 31, no. 3
433-442
EN
In this paper, we investigate the existence and uniqueness of positive solutions to arbitrary order nonlinear fractional differential equations with advanced arguments. By applying some known fixed point theorems, sufficient conditions for the existence and uniqueness of positive solutions are established.
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