Mehar Banu - Academia.edu (original) (raw)

Papers by Mehar Banu

Research paper thumbnail of Some new oscillation results for second order quasi-linear advanced difference equations

Nucleation and Atmospheric Aerosols, 2022

Research paper thumbnail of Oscillatory behavior of half-linear third order delay difference equations with non canonical operators

2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS: ICMTA2021

In this paper, we study the oscillation criteria for the solutions of half-linear delay differenc... more In this paper, we study the oscillation criteria for the solutions of half-linear delay difference equations with order three and non-canonical operators. To give contradiction for existing results, oscillation of the studied equation is established under two different conditions. These results improve, extend and significantly simplify the existing results and the importance of the results are illustrated by two examples.

Research paper thumbnail of Oscillation criteria for second order nonlinear advanced type difference equations

Malaya Journal of Matematik

This paper mainly deals with the second order nonlinear difference equations with advanced argume... more This paper mainly deals with the second order nonlinear difference equations with advanced argument ∆(a(n)∆x(n)) + q(n)x α (σ (n)) = 0, n ≥ n 0 where a(n) > 0, q(n) ≥ 0, σ (n) ≥ n + 1 and α is a ratio of odd positive integers. We obtain some new sufficient conditions for the oscillation of all solutions of the studied equation. Examples are provided to illustrate the main results.

Research paper thumbnail of Oscillatory Behavior of Third Order Delay Difference Equations with non Canonical Operators

In this paper, the authors present some new Oscillatory Criteria for third order delay difference... more In this paper, the authors present some new Oscillatory Criteria for third order delay difference Equations with non canonical Operators. By using Riccati transformation method one can obtain some new sufficient conditions for the oscillation of all solutions of the equations. Established results extend unify and improve some of the results reported in the literature. Examples are provided to illustrate the importance of the main results. 2010 Mathematics Subject Classification: 39A10

Research paper thumbnail of Oscillation of Third Order Nonlinear Difference Equations With Several Neutral Terms

This paper deals with the oscillatory properties of third order delay difference equation with se... more This paper deals with the oscillatory properties of third order delay difference equation with several neutral terms. Some new sufficient conditions are derived which are very useful to study the given equation. Examples are provided to illustrate the main results. MSC: 39A10.

Research paper thumbnail of New oscillation theorems for second order quasi-linear difference equations with sub-linear neutral term

Advances in Difference Equations, 2018

In this paper, the authors obtain some new sufficient conditions for the oscillation of all solut... more In this paper, the authors obtain some new sufficient conditions for the oscillation of all solutions of the second order neutral difference equation (a n (z n) β) + q n x γ n-= 0, n ≥ n 0 , where z n = x n + p n x α n-k. The established results extend, unify and improve some of the results reported in the literature. Examples are provided to illustrate the importance of the main results.

Research paper thumbnail of New approach to periodicity of neutral type delay difference equations

Applied Mathematical Sciences, 2015

Artificial neural networks have been developed as generalizations of mathematical models of biolo... more Artificial neural networks have been developed as generalizations of mathematical models of biological nervous system. In this paper we investigate periodicity of neutral typed delay difference equations of unbounded activation functions via fixed point theory and some new techniques; various sufficient conditions for the existence of positive periodic solutions are established.

Research paper thumbnail of Certain New Oscillation criteria for Fourth Order Non – Linear Difference Equations

In this paper deals with the oscillatory behaviour of fourth order nonlinear difference equation ... more In this paper deals with the oscillatory behaviour of fourth order nonlinear difference equation of the form (1.1) Where is the forward difference operator defined by .By a solution of (1.1) is consider as exist an N(a) for some. Examples are given to illustrate the importance of the results.

Research paper thumbnail of Oscillatory and asymptotic behavior of nonlinear difference equations

Research paper thumbnail of • Stability Analysis for Recurrent Neural Networks with Time-Varying Delays

I n this paper global asymptotic stability analysis of static recurrent neural networks with time... more I n this paper global asymptotic stability analysis of static recurrent neural networks with time-varying delay is studied by the LMI approach. Firstly, a novel Lyapunov functional is introduced, which involves the integral terms of the neuron state. Furthermore, a new technique is applied when estimating the upper bound of the derivative of the Lyapunov functional. Based on this, some less conservative criteria are obtained for the concerned static neural networks.Throughout this paper, and denote the n-dimension Euclidean space and set of all real matrices, respectively. A real symmetric matrix P 0 ( 0) denotes P being a positive definite matrix. I is used to denote an identity matrix with proper dimensions. Matrices, if not explicitly stated, are assumed to have compatible dimensions. The symmetric term in a symmetric matrix are denoted by .

Research paper thumbnail of Exponential stability in time-delay systems

International Journal of Advance Research, Ideas and Innovations in Technology, 2018

In this paper, we defined exponential stability for nonlinear time-delay systems with delayed imp... more In this paper, we defined exponential stability for nonlinear time-delay systems with delayed impulses. We derive the Lyapunov-based sufficient conditions for exponential stability. We show that the nonlinear impulsive time-delay system without impulse input delays is exponentially stable under the conditions. It is shown that the stable nonlinear impulsive time-delay system. It is a magnitude of the delayed impulses is sufficiently small, under the same conditions. The delayed impulses do not destroy the stability of the sizes of the impulse input delays.

Research paper thumbnail of Stability Analysis by Lyapunov Function in Neural Network

Journal of Mathematics and Informatics, 2017

This paper is connected with the stability analysis of Discrete-Time recurrent neural networks (R... more This paper is connected with the stability analysis of Discrete-Time recurrent neural networks (RNNs) with time delays as random variable drawn from some probability distribution. By introducing the variation probability of the time delay, a common delayed Discrete-Time RNN system is transformed into one with stochastic parameters. Improved condition for the mean square stability of these systems are obtained by employing new Lyapunov function and more techniques are used to achieves delay dependence. The merit of the proposed condition lies in its reduced conservation which is made possible by considering not only the range of the time delays but also the variation probability distribution.

Research paper thumbnail of Oscillatory behavior of half-linear third order delay difference equations

Malaya Journal of Matematik

This paper deals with the oscillation criteria for the solutions of half-linear third order delay... more This paper deals with the oscillation criteria for the solutions of half-linear third order delay difference equations with non-canonical operators. Contrary to existing results, oscillation of the studied equation is established via two conditions. These results improve, extend and significantly simplify the existing ones and the importance of the results are illustrated by two examples.

Research paper thumbnail of Some new oscillation results for second order quasi-linear advanced difference equations

Nucleation and Atmospheric Aerosols, 2022

Research paper thumbnail of Oscillatory behavior of half-linear third order delay difference equations with non canonical operators

2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS: ICMTA2021

In this paper, we study the oscillation criteria for the solutions of half-linear delay differenc... more In this paper, we study the oscillation criteria for the solutions of half-linear delay difference equations with order three and non-canonical operators. To give contradiction for existing results, oscillation of the studied equation is established under two different conditions. These results improve, extend and significantly simplify the existing results and the importance of the results are illustrated by two examples.

Research paper thumbnail of Oscillation criteria for second order nonlinear advanced type difference equations

Malaya Journal of Matematik

This paper mainly deals with the second order nonlinear difference equations with advanced argume... more This paper mainly deals with the second order nonlinear difference equations with advanced argument ∆(a(n)∆x(n)) + q(n)x α (σ (n)) = 0, n ≥ n 0 where a(n) > 0, q(n) ≥ 0, σ (n) ≥ n + 1 and α is a ratio of odd positive integers. We obtain some new sufficient conditions for the oscillation of all solutions of the studied equation. Examples are provided to illustrate the main results.

Research paper thumbnail of Oscillatory Behavior of Third Order Delay Difference Equations with non Canonical Operators

In this paper, the authors present some new Oscillatory Criteria for third order delay difference... more In this paper, the authors present some new Oscillatory Criteria for third order delay difference Equations with non canonical Operators. By using Riccati transformation method one can obtain some new sufficient conditions for the oscillation of all solutions of the equations. Established results extend unify and improve some of the results reported in the literature. Examples are provided to illustrate the importance of the main results. 2010 Mathematics Subject Classification: 39A10

Research paper thumbnail of Oscillation of Third Order Nonlinear Difference Equations With Several Neutral Terms

This paper deals with the oscillatory properties of third order delay difference equation with se... more This paper deals with the oscillatory properties of third order delay difference equation with several neutral terms. Some new sufficient conditions are derived which are very useful to study the given equation. Examples are provided to illustrate the main results. MSC: 39A10.

Research paper thumbnail of New oscillation theorems for second order quasi-linear difference equations with sub-linear neutral term

Advances in Difference Equations, 2018

In this paper, the authors obtain some new sufficient conditions for the oscillation of all solut... more In this paper, the authors obtain some new sufficient conditions for the oscillation of all solutions of the second order neutral difference equation (a n (z n) β) + q n x γ n-= 0, n ≥ n 0 , where z n = x n + p n x α n-k. The established results extend, unify and improve some of the results reported in the literature. Examples are provided to illustrate the importance of the main results.

Research paper thumbnail of New approach to periodicity of neutral type delay difference equations

Applied Mathematical Sciences, 2015

Artificial neural networks have been developed as generalizations of mathematical models of biolo... more Artificial neural networks have been developed as generalizations of mathematical models of biological nervous system. In this paper we investigate periodicity of neutral typed delay difference equations of unbounded activation functions via fixed point theory and some new techniques; various sufficient conditions for the existence of positive periodic solutions are established.

Research paper thumbnail of Certain New Oscillation criteria for Fourth Order Non – Linear Difference Equations

In this paper deals with the oscillatory behaviour of fourth order nonlinear difference equation ... more In this paper deals with the oscillatory behaviour of fourth order nonlinear difference equation of the form (1.1) Where is the forward difference operator defined by .By a solution of (1.1) is consider as exist an N(a) for some. Examples are given to illustrate the importance of the results.

Research paper thumbnail of Oscillatory and asymptotic behavior of nonlinear difference equations

Research paper thumbnail of • Stability Analysis for Recurrent Neural Networks with Time-Varying Delays

I n this paper global asymptotic stability analysis of static recurrent neural networks with time... more I n this paper global asymptotic stability analysis of static recurrent neural networks with time-varying delay is studied by the LMI approach. Firstly, a novel Lyapunov functional is introduced, which involves the integral terms of the neuron state. Furthermore, a new technique is applied when estimating the upper bound of the derivative of the Lyapunov functional. Based on this, some less conservative criteria are obtained for the concerned static neural networks.Throughout this paper, and denote the n-dimension Euclidean space and set of all real matrices, respectively. A real symmetric matrix P 0 ( 0) denotes P being a positive definite matrix. I is used to denote an identity matrix with proper dimensions. Matrices, if not explicitly stated, are assumed to have compatible dimensions. The symmetric term in a symmetric matrix are denoted by .

Research paper thumbnail of Exponential stability in time-delay systems

International Journal of Advance Research, Ideas and Innovations in Technology, 2018

In this paper, we defined exponential stability for nonlinear time-delay systems with delayed imp... more In this paper, we defined exponential stability for nonlinear time-delay systems with delayed impulses. We derive the Lyapunov-based sufficient conditions for exponential stability. We show that the nonlinear impulsive time-delay system without impulse input delays is exponentially stable under the conditions. It is shown that the stable nonlinear impulsive time-delay system. It is a magnitude of the delayed impulses is sufficiently small, under the same conditions. The delayed impulses do not destroy the stability of the sizes of the impulse input delays.

Research paper thumbnail of Stability Analysis by Lyapunov Function in Neural Network

Journal of Mathematics and Informatics, 2017

This paper is connected with the stability analysis of Discrete-Time recurrent neural networks (R... more This paper is connected with the stability analysis of Discrete-Time recurrent neural networks (RNNs) with time delays as random variable drawn from some probability distribution. By introducing the variation probability of the time delay, a common delayed Discrete-Time RNN system is transformed into one with stochastic parameters. Improved condition for the mean square stability of these systems are obtained by employing new Lyapunov function and more techniques are used to achieves delay dependence. The merit of the proposed condition lies in its reduced conservation which is made possible by considering not only the range of the time delays but also the variation probability distribution.

Research paper thumbnail of Oscillatory behavior of half-linear third order delay difference equations

Malaya Journal of Matematik

This paper deals with the oscillation criteria for the solutions of half-linear third order delay... more This paper deals with the oscillation criteria for the solutions of half-linear third order delay difference equations with non-canonical operators. Contrary to existing results, oscillation of the studied equation is established via two conditions. These results improve, extend and significantly simplify the existing ones and the importance of the results are illustrated by two examples.