Articles
http://nur.nu.edu.kz:80/handle/123456789/4174
Mon, 26 Feb 2024 13:46:45 GMT2024-02-26T13:46:45ZSATURATED AND ASYMMETRIC SATURATED IMPULSIVE CONTROL SYNCHRONIZATION OF COUPLED DELAYED INERTIAL NEURAL NETWORKS WITH TIME-VARYING DELAYS
http://nur.nu.edu.kz:80/handle/123456789/6902
SATURATED AND ASYMMETRIC SATURATED IMPULSIVE CONTROL SYNCHRONIZATION OF COUPLED DELAYED INERTIAL NEURAL NETWORKS WITH TIME-VARYING DELAYS
Udhayakumar, K.; Shanmugasundaram, S.; Kashkynbayev, Ardak; Janani, K.; Rakkiyappan, R.
This paper considers control systems with impulses that are saturated and asymmetrically saturated which are used to examine the synchronization of inertial neural networks (INNs) with time-varying delay and coupling delays. Under the theoretical discussions, mixed delays, such as transmission delay and coupling delay are presented for inertial neural networks. The addressed INNs are transformed into first order differential equations utilizing variable transformation on INNs and then certain adequate conditions are derived for the exponential synchronization of the addressed model by substituting saturation nonlinearity with a dead-zone function. In addition, an asymmetric saturated impulsive control approach is given to realize the exponential synchronization of addressed INNs in the leader-following synchronization pattern. Finally, simulation results are used to validate the theoretical research findings.
Sun, 01 Jan 2023 00:00:00 GMThttp://nur.nu.edu.kz:80/handle/123456789/69022023-01-01T00:00:00ZMUTUAL INTERDEPENDENCE OF THE PHYSICAL PARAMETERS GOVERNING THE BOUNDARY-LAYER FLOW OF NON-NEWTONIAN FLUIDS
http://nur.nu.edu.kz:80/handle/123456789/6833
MUTUAL INTERDEPENDENCE OF THE PHYSICAL PARAMETERS GOVERNING THE BOUNDARY-LAYER FLOW OF NON-NEWTONIAN FLUIDS
Al-Ashhab, Samer; Wei, Dongming; Alyami, Salem A.; Azad, AKM; Moni, Mohammad Ali
We consider non-Newtonian boundary-layer fluid flow, governed by a power-law OstwalddeWaele
rheology. Boundary-layer flows of non-Newtonian fluids have far-reaching applications,
and are very frequently encountered in physical, as well as, engineering and industrial processes.
A similarity transformation results in a BVP consisting of an ODE and some boundary conditions.
Our aim is to derive highly accurate analytical relationships between the physical and mathematical
parameters associated with the BVP and boundary-layer flow problem. Mathematical analyses
are employed, where the results are verified at the numerical computational level, illustrating the
accuracy of the derived relations. A set of “Crocco variables” is used to transform the problem, and,
where appropriate, techniques are used to deal with the resulting singularities in order to establish
an efficient computational setting. The resulting computational setting provides an alternative,
which is different from those previously used in the literature. We employ it to carry out our
numerical computations.
Mon, 23 May 2022 00:00:00 GMThttp://nur.nu.edu.kz:80/handle/123456789/68332022-05-23T00:00:00ZDYNAMICS OF FRACTIONAL-ORDER EPIDEMIC MODELS WITH GENERAL NONLINEAR INCIDENCE RATE AND TIME-DELAY
http://nur.nu.edu.kz:80/handle/123456789/6819
DYNAMICS OF FRACTIONAL-ORDER EPIDEMIC MODELS WITH GENERAL NONLINEAR INCIDENCE RATE AND TIME-DELAY
Kashkynbayev, Ardak; Rihan, Fathalla A.
In this paper, we study the dynamics of a fractional-order epidemic model with general
nonlinear incidence rate functionals and time-delay. We investigate the local and global stability
of the steady-states. We deduce the basic reproductive threshold parameter, so that if R0 < 1, the
disease-free steady-state is locally and globally asymptotically stable. However, for R0 > 1, there
exists a positive (endemic) steady-state which is locally and globally asymptotically stable. A Holling
type III response function is considered in the numerical simulations to illustrate the effectiveness of
the theoretical results
Tue, 03 Aug 2021 00:00:00 GMThttp://nur.nu.edu.kz:80/handle/123456789/68192021-08-03T00:00:00ZOSCILLATION CRITERIA FOR LINEAR DIFFERENCE EQUATIONS WITH SEVERAL VARIABLE DELAYS
http://nur.nu.edu.kz:80/handle/123456789/6816
OSCILLATION CRITERIA FOR LINEAR DIFFERENCE EQUATIONS WITH SEVERAL VARIABLE DELAYS
Benekas, Vasileios; Garab, Abel; Kashkynbayev, Ardak; Stavroulakis, Ioannis P.
We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by letting the limes inferior be replaced by the limes superior under some additional assumptions related to slow variation. On the other hand, our findings generalize an oscillation criterion recently given for the case of a constant, single delay.
Fri, 01 Jan 2021 00:00:00 GMThttp://nur.nu.edu.kz:80/handle/123456789/68162021-01-01T00:00:00ZON THE CAUCHY PROBLEM FOR A NONLOCAL NONLINEAR SCHRÖDINGER EQUATION
http://nur.nu.edu.kz:80/handle/123456789/6765
ON THE CAUCHY PROBLEM FOR A NONLOCAL NONLINEAR SCHRÖDINGER EQUATION
Wang, Hongwei; Esfahani, Amin
This paper considers the one-dimensional Schrödinger equation with nonlocal nonlinearity that describes the interactions of nonlinear dispersive waves. We obtain some the local well-posedness and ill-posedness result associated with this equation in the Sobolev spaces. Moreover, we prove the existence of standing waves of this equation. As corollary, we derive the conditions under which the solutions are uniformly bounded in the energy space.
Thu, 01 Dec 2022 00:00:00 GMThttp://nur.nu.edu.kz:80/handle/123456789/67652022-12-01T00:00:00ZALMOST PERIODIC SOLUTIONS OF FUZZY SHUNTING INHIBITORY CNNS WITH DELAYS
http://nur.nu.edu.kz:80/handle/123456789/6763
ALMOST PERIODIC SOLUTIONS OF FUZZY SHUNTING INHIBITORY CNNS WITH DELAYS
Kashkynbayev, Ardak; Koptileuova, Moldir; Issakhanov, Alfarabi; Cao, Jinde
In the present paper, we prove the existence of unique almost periodic solutions to fuzzy shunting inhibitory cellular neural networks (FSICNN) with several delays. Further, by means of Halanay inequality we analyze the global exponential stability of these solutions and obtain corresponding convergence rate. The results of this paper are new, and they are concluded with numerical simulations confirming them.
Sat, 01 Jan 2022 00:00:00 GMThttp://nur.nu.edu.kz:80/handle/123456789/67632022-01-01T00:00:00Z