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Miskolc Mathematical Notes
Scopus
ISSN 1787-2405 · Miskolc University Press · 186 artikel di indeks
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Some approximations on a system of multi-quadratic-quartic functional equations
In the current work, we define multi-quadratic-quartic mappings as a system of kn−k
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Demi version of quasi Levi and Levi operators on Banach lattices
Demi versions of different classes of operators have been recently investigated by many researchers. In this paper we study the demi version of quasi Levi and Levi operators. We investigate their properties. Moreover, their relations with other classes of operators are also discussed.
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Further results on the Lebesgue-Nagell equation dx2 + p2mq2n = 4yp
Let dd>3h(−d)ℚ(−d)pqp>3p≠qp∤h(−d)(∗)dx2+p2mq2n=4yp(x,y,m,n)gcd (x,y)=1q≢±1(𝑚𝑜𝑑2p)(∗)(x,y,m,n)gcd (x,y)=1
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On fractal Bernoulli differential equations and their applications
In this paper we study a Bernoulli-type differential equation that replace the usual derivative by a fractal derivative. We show the goodness-of-fit of this model for real data comparing it with classic models.
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Integral characterizations of uniform h-dichotomy in mean for discrete-time stochastic skew-evolution semiflows
The paper provides integral characterizations for the concept of uniform dichotomy in the mean with growth rates for discrete-time stochastic skew-evolution semiflows in Banach spaces. More precisely, necessary and sufficient conditions are given using both invariant projection families and…
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Artikel Jurnal
Some properties of weakly g-supplemented lattices
In this work, all lattices are complete modular lattices with the greatest element 10La,b∈La∨b=1a∧b≪gLbaLLLLLa,b,c∈Lc≪LbaLba∨cLL1=a1∨a2∨⋯∨anai∈L (1≤i≤n)ai∕0i=1,2,…,nLL1∕aa∈LL1∕rg(L)LLa,b∈L1=a∨bacLc≤bLaβ∗bLabLL
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Nonlocal integral boundary value problems for sequential differential equation involving a fractional mixed derivatives
The study of fractional differential equations occupies an important place in various fields of science. In this paper, we investigate the existence result for a nonlocal integral boundary value problems for a sequential differential equation involving a fractional mixed derivatives. Our method…
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Vallée-Poussin theorem for Katugampola fractional functional differential equations
We propose Vallée-Poussin theorem in form of three equivalent assertions for Katugampola fractional functional differential equation. Choosing corresponding function, we obtain explicit test of negativity of Green’s function in form of algebraic inequality. We discuss particular cases of functional…
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A remark on dimensionality reduction in discrete subgroups of ℝd
In this short note, we prove a version of the Johnson-Lindenstrauss flattening Lemma for point sets taking values in discrete subgroups. More precisely, given d,λ0,N0∈ℕ𝜖∈(0,12)k=k(d,𝜖)=O( 1𝜖2logd)λ∈ℕ𝒟⊂λλ0ℤd∩B(0,λN0)dF:𝒟→1λ0ℤk (1+𝜖+𝜖λλ0)
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Analytical solutions to the double-chain DNA system by two computational techniques
In this article, two algebraic techniques are employed to analyze the double-chain model of deoxyribonucleic acid, a crucial component in the realm of biology. The solutions obtained by these methods include the trigonometric function solution, hyperbolic function solution and rational solution…
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Dynamical behavior of a two dimensional difference equation system with quadratic term
This article investigates the dynamical behavior of a two-dimensional asymmetric system of fractional difference equations given by μn+1=1+ℏμnνn−12,νn+1=1+ℏνnμn−12,n∈ℕ,ℏ>0μi,νi(i=−1,0)0
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Reconstruction of the Sturm-Liouville differential operators with two constant delays
In this manuscript, we study the Sturm–Liouville differential operator with two constant delays. We investigate the properties of the asymptotic form of solutions, eigenvalues, and eigenfunctions of the operator. An inverse spectral problem is studied of recovering the potential functions and delay…
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Existence of super-solutions of a discrete equation of Wolff type
In this paper, we are concerned with the Wolff-type equation ui= ∫ 0∞(∑j∈ℤn,|j−i|0fori∈ℤn,n≥1min {β,p}>0γ>1𝛽𝛾
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Some generalizations of Mercer inequality and its operator extensions
We give a more general form of the Mercer inequality by replacing some constants by positive operators. As some consequences, our results produce a Jensen operator inequality for superquadratic functions. Moreover, we present some Mercer inequalities of Hermite–Hadamard’s type.
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Some properties of r-small elements in lattices
In this paper, all lattices are complete modular lattices with the greatest element 10La∈La≤r(L)a≪r(L)∕0a (or r-superfluous)La≪rLLa∈r(L)∕0r(L)La≪La≪rLLa∈Lb≪rLa≪rLa∨b≪r1∕b
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On the representation of solution for a class of perturbed controlled neutral functional-differential equation with the continuous initial condition
The analytic relation between of solutions of the original Cauchy problem and a corresponding perturbed problem is established for the controlled neutral functional-differential equation with the continuous initial condition, whose right-hand side is linear with respect to the prehistory of the…
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Symmetric and generating functions for certain products of numbers and polynomials with application to bifurcation analysis
In this paper, we establish a novel theorem pertaining to symmetric and generating functions. Utilizing this theorem, we derive new generating functions for products of k(p,q)(p,q)(p,q)(p,q)pq