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1
Content available remote On the solution of recursive sequence of order two
100%
Elsayed E. M.
Fasciculi Mathematici
|
2008
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tom Nr 40
5-13
EN
We obtain in this paper the solution of the following difference equation (formula), n= 0, 1,... where the initial conditions x-1, x0 are arbitrary real numbers.
2
Content available remote On existence and stability of forced periodic oscillations for a rod in the viscous fluid
100%
Hajdukiewicz M.
|
2004
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tom Vol. 37, nr 1
91--100
EN
The paper is devoted to the development of a numerical algorithm for finding the time-periodic transverse oscillations of a rod under external forces. Moreover, the dynamical stablility of these oscillations is proved under damping properities of the fluid.
3
Content available remote Existence and global exponenetial stability of periodic solution of high-order Cohen-Grossberg neural network with impulses
100%
Liu J.
|
2009
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tom Vol. 42, nr 2
323-338
EN
Sufficient conditions are obtained for the existence and global exponential stability of periodic solution of high-order Cohen-Grossberg neural network with impulses by using Mawhin's continuation theorem of coincidence degree and by means of a method based differential inequality.
4
Content available Existence of periodic solutions for totally nonlinear neutral differential equations with functional delay
100%
Yankson E.
Opuscula Mathematica
|
2012
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tom Vol. 32, no. 3
617-627
5
Content available remote Convergence and periodic properties of solutions for a class of delay difference equation
100%
Zhu H. , Huang L.
Fasciculi Mathematici
|
2007
|
tom Nr 37
121-128
EN
We propose a class of delay difference equation with piecewise constant nonlinearity. The convergence of solutions and the existence of globally asymptotically stable periodic solutions are investigated for such a class of difference equation.
6
Content available The second Cushing-Henson conjecture for the beverton holt q-difference equation
100%
Bohner M. , Streipert S. H.
|
|
tom Vol. 37, no. 6
795--819
EN
In this paper, we study the second Cushing-Henson conjecture for the Beverton-Holt difference equation with periodic inherent growth rate and periodic carrying capacity in the quantum calculus setting. We give a short summary of recent results regarding the Beverton-Holt difference and Q-difference equation and introduce the theory of quantum calculus briefly. Next, we analyze the second Cushing-Henson conjecture. We extend recent studies in [The Beverton-Holt q-difference equation with periodic growth rate, Difference Equations, Discrete Dynamical Systems, and Applications, Springer-Verlag, Berlin, Heidelberg, New York, 2015, pp. 3-14] and state a modified formulation of the second Cushing-Henson conjecture for the Beverton-Holt Q-difference equation as a generalization of existing formulations.
7
Content available On existence and global attractivity of periodic solutions of nonlinear delay differential equations
100%
Qian C. , Smith J.
Opuscula Mathematica
|
2019
|
tom Vol. 39, no. 6
839--862
EN
onsider the delay differential equation with a forcing term [formula] (*) where ƒ (t, x) : [0,) x [0, ∞) —> R, g(t, x) : [0, ∞) x [0, ∞) —> [0, ∞) are continuous functions and w-periodic in t, r(t) : [0, ∞) —> R is a continuous function and r ∈ (0, ∞) is a positive constant. We first obtain a sufficient condition for the existence of a unique nonnegative periodic solution [formula] of the associated unforced differential equation of Eq. (*) [formula] (**) Then we obtain a sufficient condition so that every nonnegative solution of the forced equation (*) converges to this nonnegative periodic solution [formula] of the associated unforced equation (**). Applications from mathematical biology and numerical examples are also given.
8
Content available remote Periodic solutions of two-species difusion models with continuous time delays
100%
Huo H.-F. , Li W.-T. , Cheng S. S.
|
2002
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tom Vol. 35, nr 2
433-446
EN
Two-species prey-predator diffusion models with periodic coefficients and continuous time delays are investigated. We derive sufficient conditions that guarantee the existence of positive periodic solutions which are globally asymptotically stable.
9
Content available remote Global behavior of higher order a rational difference equation
100%
Elabbasy E. M. , Eleissawy S. M.
Fasciculi Mathematici
|
2014
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tom Nr 53
39--52
EN
The main objective of this paper is to study the global asymptotic stability and the periodic character of the rational difference equation …[wzór], n – 0,1,…, where the parameters a, β, ϒ, p, q are nonnegative real numbers and initial conditions are nonnegative real numbers l, r, k are nonnegative integers, such that l < k and r < k. Also, we give some numerical simulations to the equation to illustrate our results.
10
Content available On periodic oscillations for a class of feedback control systems in Hilbert spaces
100%
Loi N.
|
|
tom 33
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nr 2
205-219
EN
In this paper, by using the topological degree theory for multivalued maps and the method of guiding functions in Hilbert spaces we deal with the existence of periodic oscillations for a class of feedback control systems in Hilbert spaces.
11
Content available remote The periodic solution to biparabolic equation for the three-dimensional temporal-spatial cylinder with boundary conditions of Riquier type
88%
Koroński J.
Fasciculi Mathematici
|
1999
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tom Nr 30
71-79
EN
In this paper we shaII construct the periodic solution for biparabolic f equation in cylindrical domain with boundary conditions of Riguier type. To construct the solution we shaII apply the convenient heat biparabolic potentials ! with unkow densities and biparabolic potential ofthe source function. To detern1ine these densities we shaII apply the suitable system of integral equations. The periodic solution is a sum of periodic boundary potentials and periodic biparabolic potential ofthe source function.
12
Content available Periodic solutions in multivariate invariance arguments
88%
Chudziak J. , Wójcik S.
Opuscula Mathematica
|
2013
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tom Vol. 33, no. 3
455--465
EN
Inspired by the recent results of A.E. Abbas we determine continuous multivariate utility functions invariant with respect to a wide family of transformations related to the shift transformations.
13
Content available remote Periodic solutions for evolution inclusions with time-dependent subdifferentials
88%
Matzakos N. , Papageorgiu N. S.
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2002
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tom Vol. 35, nr 3
521-538
EN
In this paper we examine a periodic evolution equation driven by a time-dependent subdifferential and with a multivalued forcing term. Using a fixed point theorem for pseudo-acyclic multifunctions we prove the existence of periodic trajectories. This approach requires a study of the structure of the solution set of the Cauchy problem, which is also conducted in this paper.
14
Content available remote On a radial periodic solution to the diffusion equation for the exterior of a ball
75%
Tal-Figiel B.
Fasciculi Mathematici
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2002
|
tom Nr 33
111-114
EN
The subject of the paper is the construction of a periodic radial solution to the diffusion parabolic differential equation (I) delta u(x,t)-D:u(x,t) = f(x,t), where sigma = D(2)(x)+ D(2)(x2)+ D2(x3), x = (xl,x1,x1), t belonge(-infinity, inffinity), in radial coordinates (r,t) (r,[x] r=\x\= (x(2)(1) + x(2)(2) , in the exterion of the ball D(1), = {(r,t):r>R,t (-infinity, infinity)}. Equation (I) is of the from (II) D] (W(r, t)) - D, (W(r, t) = rU (r, t) (r, t). By the suitable Green function (r, t, p, s) -> G(r, t, p, s), we construct the periodic solution with respect to the variable / of equation (II) as the potential W(r, t) of the double layer.
15
Content available remote On the periodic solution of the parabolic problem for the cylinder
75%
Koroński J.
Fasciculi Mathematici
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1999
|
tom Nr 30
63-70
EN
The subject ofthe paper is a construction of an explicit periodic solution ofthe parabolic problem for the cylinder. To construct of the periodic solution we shall apply the convenient Green function. In this paper the theorems on uniqueness and existence of solution of considered ( l) -(2) problem is given.
16
Periodic solutions of evolution problem associated with moving convex sets
75%
Castaing C. , Monteiro Marques M.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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1995
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tom 15
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nr 2
99-127
EN
This paper is concerned with periodic solutions for perturbations of the sweeping process introduced by J.J. Moreau in 1971. The perturbed equation has the form $-Du ∈ N_{C(t)}(u(t)) + f(t,u(t))$ where C is a T-periodic multifunction from [0,T] into the set of nonempty convex weakly compact subsets of a separable Hilbert space H, $N_{C(t)}(u(t))$ is the normal cone of C(t) at u(t), f:[0,T] × H∪H is a Carathéodory function and Du is the differential measure of the periodic BV solution u. Several existence results of periodic solutions for this differential inclusion are stated under various assumptions on the moving convex set C(t) and the perturbation f.
17
Content available remote On the solutions of a rational system of difference equations
75%
Elsayed E. M.
Fasciculi Mathematici
|
2010
|
tom Nr 45
25-36
EN
In this paper we deal with the solutions of the system of the difference equations xn+1 = ...[wzór], yn+1 = ...[wzór], with a nonzero real numbers initial conditions.
18
Content available remote Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays
75%
Zhang Q. , Yang L. , Liao D.
International Journal of Applied Mathematics and Computer Science
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2011
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tom Vol. 21, no 4
649-658
EN
Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.
19
Content available Periodic solutions for second-order Hamiltonian systems with a p-Laplacian
75%
Zhang X. , Tang X.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
|
2010
|
tom 64
|
nr 1
EN
In this paper, by using the least action principle, Sobolev’s inequality and Wirtinger’s inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.
20
Content available remote Periodic solutions for highly nonlinear oscillation systems
63%
Ghadimi M. , Barari A. , Kaliji H. D. , Domairry G.
Archives of Civil and Mechanical Engineering
|
2012
|
tom Vol. 12, no. 3
389--395
EN
In this paper, Frequency-Amplitude Formulation is used to analyze the periodic behavior of tapered beam as well as two complex nonlinear systems. Many engineering structures, such as offshore foundations, oil platform supports, tower structures and moving arms, are modeled as tapered beams. The results obtained are compared with Variational Iteration Method (VIM) and other analytical methods as well as time marching solution. The results given show the effectiveness and accuracy of the proposed techniques.
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