9 results match your criteria Advances In Difference Equations[Journal]

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Global exponential stability of Markovian jumping stochastic impulsive uncertain BAM neural networks with leakage, mixed time delays, and -inverse Hölder activation functions.

Adv Differ Equ 2018 27;2018(1):113. Epub 2018 Mar 27.

5Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai, Thailand.

This paper concerns the problem of enhanced results on robust finite time passivity for uncertain discrete time Markovian jumping BAM delayed neural networks with leakage delay. By implementing a proper Lyapunov-Krasovskii functional candidate, reciprocally convex combination method, and linear matrix inequality technique, we derive several sufficient conditions for varying the passivity of discrete time BAM neural networks. Further, some sufficient conditions for finite time boundedness and passivity for uncertainties are proposed by employing zero inequalities. Read More

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http://dx.doi.org/10.1186/s13662-018-1553-7DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5942391PMC

Entire solutions for a reaction-diffusion equation with doubly degenerate nonlinearity.

Authors:
Rui Yan Xiaocui Li

Adv Differ Equ 2018 24;2018(1):147. Epub 2018 Apr 24.

2School of Science, Beijing University of Chemical Technology, Beijing, P.R. China.

This paper is concerned with the existence of entire solutions for a reaction-diffusion equation with doubly degenerate nonlinearity. Here the entire solutions are the classical solutions that exist for all [Formula: see text]. With the aid of the comparison theorem and the sup-sub solutions method, we construct some entire solutions that behave as two opposite traveling front solutions with critical speeds moving towards each other from both sides of -axis and then annihilating. Read More

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https://advancesindifferenceequations.springeropen.com/artic
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http://dx.doi.org/10.1186/s13662-018-1606-yDOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5915528PMC
April 2018
6 Reads

Approximation of state variables for discrete-time stochastic genetic regulatory networks with leakage, distributed, and probabilistic measurement delays: a robust stability problem.

Adv Differ Equ 2018 3;2018(1):123. Epub 2018 Apr 3.

5Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.

This work predominantly labels the problem of approximation of state variables for discrete-time stochastic genetic regulatory networks with leakage, distributed, and probabilistic measurement delays. Here we design a linear estimator in such a way that the absorption of mRNA and protein can be approximated via known measurement outputs. By utilizing a Lyapunov-Krasovskii functional and some stochastic analysis execution, we obtain the stability formula of the estimation error systems in the structure of linear matrix inequalities under which the estimation error dynamics is robustly exponentially stable. Read More

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http://dx.doi.org/10.1186/s13662-018-1569-zDOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5882887PMC

Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities.

Adv Differ Equ 2018 14;2018(1):90. Epub 2018 Mar 14.

2Valahia University of Târgovişte, Târgovişte, Romania.

In this paper we propose a new method for sharpening and refinements of some trigonometric inequalities. We apply these ideas to some inequalities of Wilker-Cusa-Huygens type. Read More

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http://dx.doi.org/10.1186/s13662-018-1545-7DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5852252PMC

Enhanced robust finite-time passivity for Markovian jumping discrete-time BAM neural networks with leakage delay.

Adv Differ Equ 2017 10;2017(1):318. Epub 2017 Oct 10.

Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.

This paper is concerned with the problem of enhanced results on robust finite-time passivity for uncertain discrete-time Markovian jumping BAM delayed neural networks with leakage delay. By implementing a proper Lyapunov-Krasovskii functional candidate, the reciprocally convex combination method together with linear matrix inequality technique, several sufficient conditions are derived for varying the passivity of discrete-time BAM neural networks. An important feature presented in our paper is that we utilize the reciprocally convex combination lemma in the main section and the relevance of that lemma arises from the derivation of stability by using Jensen's inequality. Read More

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http://dx.doi.org/10.1186/s13662-017-1378-9DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5635139PMC
October 2017
1 Read

Entire functions sharing a small function with their two difference operators.

Adv Differ Equ 2017 1;2017(1):216. Epub 2017 Aug 1.

Department of Mathematics, Wuyi University, Jiangmen, Guangdong 529020 P.R. China.

In this article, we deduce a uniqueness result of entire functions that share a small entire function with their two difference operators, generalizing some previous theorems of (Farissi et al. in Complex Anal. Oper. Read More

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http://dx.doi.org/10.1186/s13662-017-1281-4DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5539324PMC
August 2017
8 Reads

Fuzzy [Formula: see text] output-feedback control for the discrete-time system with channel fadings, sector nonlinearities, and randomly occurring interval delays and nonlinearities.

Adv Differ Equ 2016 21;2016(1):267. Epub 2016 Oct 21.

School of Science, Jiangnan University, Wuxi, 214122 China ; Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education, Institute of Automation, Jiangnan University, Wuxi, 214122 China.

In this paper, the fuzzy [Formula: see text] output-feedback control problem is investigated for a class of discrete-time T-S fuzzy systems with channel fadings, sector nonlinearities, randomly occurring interval delays (ROIDs) and randomly occurring nonlinearities (RONs). A series of variables of the randomly occurring phenomena obeying the Bernoulli distribution is used to govern ROIDs and RONs. Meanwhile, the measurement outputs are subject to the sector nonlinearities ( the sensor saturations) and we assume the system output is [Formula: see text], [Formula: see text]. Read More

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http://dx.doi.org/10.1186/s13662-016-0991-3DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5075028PMC
October 2016

The stability of a predator-prey system with linear mass-action functional response perturbed by white noise.

Adv Differ Equ 2016;2016:54. Epub 2016 Feb 18.

School of College of Basic Sciences, Changchun University of Technology, Changchun, 130021 China.

The present paper deals with the problem of an ecoepidemiological model with linear mass-action functional response perturbed by white noise. The essential mathematical features are analyzed with the help of the stochastic stability, its long time behavior around the equilibrium of deterministic ecoepidemiological model, and the stochastic asymptotic stability by Lyapunov analysis methods. Numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings. Read More

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http://dx.doi.org/10.1186/s13662-016-0776-8DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4762146PMC
February 2016
4 Reads

Hybrid control of the Neimark-Sacker bifurcation in a delayed Nicholson's blowflies equation.

Adv Differ Equ 2015;2015:306. Epub 2015 Oct 6.

School of Science, Qingdao Technological University, Qingdao, 266033 P.R. China.

In this article, for delayed Nicholson's blowflies equation, we propose a hybrid control nonstandard finite-difference (NSFD) scheme in which state feedback and parameter perturbation are used to control the Neimark-Sacker bifurcation. Firstly, the local stability of the positive equilibria for hybrid control delay differential equation is discussed according to Hopf bifurcation theory. Then, for any step-size, a hybrid control numerical algorithm is introduced to generate the Neimark-Sacker bifurcation at a desired point. Read More

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http://dx.doi.org/10.1186/s13662-015-0640-2DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4762134PMC
October 2015
6 Reads
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