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  1. 17 Opuscula Mathematica
  2. 5 Demonstratio Mathematica
  3. 3 Fasciculi Mathematici
  4. 2 Annales Polonici Mathematici
  5. 2 Journal of Applied Analysis
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  1. 3 2023
  2. 2 2022
  3. 1 2021
  4. 2 2019
  5. 3 2018
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  1. 2 Dhifli A.
  2. 2 Guo J.
  3. 2 Migda M.
  4. 2 Naito M.
  5. 2 Panigrahi S.
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1
Content available Asymptotic stability of a neutral integro-differential equation
100%
Wang G. , Cheng S. S.
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tom Vol. 26, no. 3
515-527
EN
The global stability behavior of a non-autonomous neutral functional integro-differential equation is studied. A sufficient condition for every solution of this equation to tend to zero is given.
2
Content available Asymptotic properties of solutions of some interative functional inequalities
80%
Brydak D. , Choczewski B. , Czerni M.
Opuscula Mathematica
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2008
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tom Vol. 28, no. 4
441-452
EN
Continuous solutions of iterative linear inequalities of the first and second order are considered, belonging to a class Fτ of functions behaving at the origin as a prescribed function T.
3
Content available remote Point process of clusters for a stationary Gaussian random field on a lattice
80%
Lu Y. , Guo J.
Probability and Mathematical Statistics
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2023
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tom Vol. 43, Fasc. 2
247--262
EN
It is well established that the normalized exceedances resulting from a standard stationary Gaussian triangular array at high levels follow a Poisson process under the Berman condition. To model frequent cluster phenomena, we consider the asymptotic distribution of the point process of clusters for a Gaussian random field on a lattice. Our analysis demonstrates that the point process of clusters also converges to a Poisson process in distribution, provided that the correlations of the Gaussian random field meet certain conditions. Additionally, we provide a numerical example to illustrate our theoretical results.
4
Content available remote On the asymptotic behaviour of pexiderized additive mapping on semigroups
80%
Alimohammady M. , Sadeghi A.
Fasciculi Mathematici
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2012
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tom Nr 49
5--14
EN
In this paper some asymptotic behaviors of the Pexiderized additive mappings can be proved for functions on commutative semigroup to a complex normed linear space under some suitable conditions. As a consequence of our result, we give some generalizations of Skof theorem and S.-M. Joung theorem. Furthermore, in this note we present a affirmative answer to problem 18, in the thirty-first ISFE.
5
Content available Oscillation of third-order delay difference equations with negative damping term
80%
Bohner M. , Geetha S. , Selvarangam S. , Thandapani E.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
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2018
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tom 72
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nr 1
EN
The aim of this paper is to investigate the oscillatory and asymptotic behavior of solutions of a third-order delay difference equation. By using comparison theorems, we deduce oscillation of the difference equation from its relation to certain associated first-order delay difference equations or inequalities. Examples are given to illustrate the main results.
6
Content available remote On the asymptotic behavior of solutions of second order parabolic partial differential equations
80%
Lian W.-C. , Yeh C.-C.
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nr 3
223-234
EN
We consider the second order parabolic partial differential equation    $∑^n_{i,j=1} a_{ij}(x,t) u_{x_{i}x_{j}} + ∑^n_{i=1} b_i(x,t) u_{x_i} + c(x,t)u - u_t = 0$. Sufficient conditions are given under which every solution of the above equation must decay or tend to infinity as |x|→ ∞. A sufficient condition is also given under which every solution of a system of the form    $L^α[u^α] + ∑_{β=1}^N c^{αβ}(x,t) u^β = f^α(x,t)$, where    $L^α[u] ≡ ∑^n_{i,j=1} a_{ij}^α(x,t) u_{x_{i}x_{j}} + ∑^n_{i=1} b_i^α(x,t) u_{x_i} - u_t$, must decay as t → ∞.
7
Content available Oscillation criteria for even order neutral difference equations
80%
Selvarangam S. , Rupadevi S. A. , Thandapani E. , Pinelas S.
Opuscula Mathematica
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2019
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tom Vol. 39, no. 1
91--108
EN
In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neutral difference equation of the form [formula] where m ≥ 2 is an even integer, using arithmetic-geometric mean inequality. Examples are provided to illustrate the main results.
8
Content available Existence and asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations
80%
Naito M.
Opuscula Mathematica
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2023
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tom Vol. 43, no. 2
221--246
EN
We consider the half-linear differential equation (|x′|αsgn x′)′ + q(t)|x|αsgn x = 0, t ≥ t0, under the condition [formula] It is shown that if certain additional conditions are satisfied, then the above equation has a pair of nonoscillatory solutions with specific asymptotic behavior as t → ∞.
9
Content available Forced oscillation and asymptotic behavior of solutions of linear differential equations of second order
80%
Shoukaku Y.
Opuscula Mathematica
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2022
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tom Vol. 42, no. 6
867--885
EN
The paper deals with the second order nonhomogeneous linear differential equation (p(t)y′(t))′ + q(t)y(t) = f(t), which is oscillatory under the assumption that p(t) and q(t) are positive, continuously differentiable and monotone functions on [0,∞). Throughout this paper we shall use pairs of quadratic forms, which obtained by different methods than Kusano and Yoshida. This form will lead to a property of qualitative behavior, including amplitudes and slopes, of oscillatory solutions of the above equation. In addition, we will discuss the existence of three types (moderately bounded, small, large) of oscillatory solutions, which are based on results due to Kusano and Yoshida.
10
Content available remote Monotone solutions of a higher-order neutral differential equation
80%
Zhang G. , Migda M.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2004
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tom Vol. 44, nr 1
147--162
EN
A continuous function x(t) is said to be (*)-monotone with a positive number τ if x(t) > 0 and (-1)n(x(t) - x(t - τ))(n) ≥ 0 for n ≥ 0. This paper is concerned with various classifications of (*)-monotone solutions of a neutral differential eąuation. Necessary and/or sufficient conditions are then derived for the existence of these solutions.
11
Content available remote Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations
80%
Li W.
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tom 65
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nr 3
283-302
EN
A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.
12
Content available Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, I
80%
Naito M.
Opuscula Mathematica
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2021
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tom Vol. 41, no. 1
71--94
EN
We consider the half-linear differential equation of the form [formula], under the assumption [formula]. It is shown that if a certain condition is satisfied, then the above equation has a pair of nonoscillatory solutions with specific asymptotic behavior as t →∞.
13
Content available remote On the asymptotic behavior of solutions to nonlinear differential equations of the second order
80%
Tunç C. , Ayhan T.
Commentationes Mathematicae
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2015
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tom Vol 55, No. 1
1--8
EN
We study the asymptotic behavior of solutions to a nonlinear differential equation of the second order whose coefficient of nonlinearity is a bounded function for arbitrarily large values of x in R. We obtain certain sufficient conditions which guarantee boundedness of solutions, their convergence to zero as x→∞ and their unboundedness
14
Content available remote A model of a radially symmetric cloud of self-attracting particles
80%
Nadzieja T.
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nr 2
169-178
EN
We consider a parabolic equation which describes the gravitational interaction of particles. Existence of solutions and their convergence to stationary states are studied.
15
Content available Asymptotic profiles for a class of perturbed burgers equations in one space dimension
80%
Dkhil F. , Hamza M. A. , Mannoubi B.
Opuscula Mathematica
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2018
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tom Vol. 38, no. 1
41--80
EN
In this article we consider the Burgers equation with some class of perturbations in one space dimension. Using various energy lunctionals in appropriate weighted Sobolev spaces rewritten in the variables [formula] and log τ, we prove that the large time behavior of solutions is given by the sell-similar solutions ol the associated Burgers equation.
16
Content available remote Locally Lipschitz mappings and asymptotic behaviour of solutions of difference equations in Banach spaces
80%
Gonzales C. , Jimenez-Melado A.
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2001
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tom Vol. 34, nr 3
635-640
17
Content available Positive solutions with specific asymptotic behavior for a polyharmonic problem on Rn
80%
Dhifli A.
Opuscula Mathematica
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2015
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tom Vol. 35, no. 1
5--19
EN
This paper is concerned with positive solutions of the semilinear polyharmonic equation [formula] on Rn, where m and n are positive integers with n > 2m, α ∈ e (—1,1). The coefncient a is assumed to satisfy[formula], where Λ ∈ (2m,∞) and [formula]is positive with [formula], one also assumes that [formula]. We prove the existence of a positive solution u such that [formula], with [formula] and a function L, given explicitly in terms of L and satisfying the same condition as infinity. (Given positive functions ∫ and g on Rn, ∫≈ g means that [formula]for some constant c > 1.)
18
Content available Existence and asymptotic behavior of positive solutions of a semilinear elliptic system in a bounded domain
80%
Chaieb M. , Dhifli A. , Zermani S.
Opuscula Mathematica
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2016
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tom Vol. 36, no. 3
315--336
EN
Let Ω be a bounded domain in [formula] with a smooth boundary [formula]. We discuss in this paper the existence and the asymptotic behavior of positive solutions of the following semilinear elliptic system [formula] Here r, s ∈ R, α, β < 1 such that γ := (1 - α) (1 - β ) - rs > 0 and the functions [formula] are nonnegative and satisfy some appropriate conditions with reference to Karamata regular variation theory.
19
Content available Existence and asymptotic behavior of solutions for hénon type equations
80%
Long W. , Yang J.
Opuscula Mathematica
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2011
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tom Vol. 31, no. 3
411-424
EN
This paper is concerned with ground state solutions for the Hénon type equation [formula] in Ω, where Ω = Bk(0, 1) × Bn-k(0, 1) ⊂ Rn and x = (y, z) ∈ Rk × Rn-k. We study the existence of cylindrically symmetric and non-cylindrically symmetric ground state solutions for the problem. We also investigate asymptotic behavior of the ground state solution when p tends to the critical exponent [formula].
20
Content available The asymptotic properties of the dynamic equation with a delayed argument
80%
Cermak J. , Urbanek M.
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tom Vol. 26, no. 3
421-429
EN
In this paper, we present some asymptotic results related to the scalar dynamic equation with a delayed argument. Using the time scale calculus we generalize some results known in the differential and difference case to the more general dynamie case.
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