Asymptotics and Periodicity of Positive Solutions on a Nonlinear Rational System of Difference Equations.

Authors: Quan, Weizhen¹, Lu, Xiaomei², lxmsgw1905@gxufe.edu.cn, Wang, Li¹, Zhou, Jingren¹, Huang, Ridi¹, Tramontana, Fabio

Source: Discrete Dynamics in Nature & Society; 10/3/2024, Vol. 2024, p1-11, 11p

Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation.

Authors: ANH, Pham The¹, phamtheanhhn@gmail.com, CZORNIK, Adam², adam.czornik@polsl.pl, NIEZABITOWSKI, Michał², michal.niezabitowski@polsl.pl

Source: Archives of Control Sciences; 2024, Vol. 34 Issue 3, p569-588, 20p

Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations.

Authors: AlNemer, Ghada¹, Aljoufi, Lama Sh.², Ahmed, A. M.³, Al Mohammady, Samir^2,4, Zakarya, M.⁵, Rezk, H. M.³

Source: Discrete Dynamics in Nature & Society; 2/12/2024, Vol. 2024, p1-11, 11p

Numerical analysis of singularly perturbed parabolic reaction diffusion differential difference equations.

Authors: Bansal, Komal¹, Sharma, Kapil K.², kapil.sharma@sau.ac.in, Kaushik, Aditya³, Babu, Gajendra⁴

Source: International Journal of Computer Mathematics; Feb2024, Vol. 101 Issue 2, p217-235, 19p

NABLA FRACTIONAL BOUNDARY VALUE PROBLEM WITH A NON-LOCAL BOUNDARY CONDITION.

Authors: GOPAL, N. S.¹, nsgopal94@gmail.com, JONNALAGADDA, J. M.¹, j.jaganmohan@hotmail.com

Source: TWMS Journal of Applied & Engineering Mathematics; 2024, Vol. 14 Issue 1, p206-222, 17p

Efficient Estimation of Climate State and Its Uncertainty Using Kalman Filtering with Application to Policy Thresholds and Volcanism.

Authors: Nicklas, J. Matthew¹, john_nicklas@brown.edu, Fox-Kemper, Baylor¹, Lawrence, Charles¹

Source: Journal of Climate; Mar2025, Vol. 38 Issue 5, p1235-1270, 36p

Optimal Control Problems for Erlang Loss Systems.

Authors: Lefebvre, Mario¹ (AUTHOR) mlefebvre@polymtl.ca

Source: Axioms (2075-1680). Feb2025, Vol. 14 Issue 2, p130. 12p.

Subject Terms: *DYNAMIC programming, *DIFFERENCE equations, *PROBABILITY theory, *EQUATIONS

On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation.

Authors: Tassaddiq, Asifa¹ (AUTHOR) a.tassaddiq@mu.edu.sa, Tanveer, Muhammad² (AUTHOR) m.tanveer@uaf.edu.pk, Usman, Muhammad³ (AUTHOR) usman17994@gmail.com, Almutairi, Dalal Khalid⁴ (AUTHOR) dk.almutairi@mu.edu.sa, Alharabi, Rabab⁵ (AUTHOR) ras.alharbi@qu.edu.sa

Source: Axioms (2075-1680). Feb2025, Vol. 14 Issue 2, p118. 25p.

Subject Terms: *DIFFERENCE equations, *ARTIFICIAL intelligence, *FUZZY systems, *MACHINE learning, *COMPUTER science

Gaussian Beam Ansatz for Finite Difference Wave Equations.

Authors: Biccari, Umberto^1,2, umberto.biccari@deusto.es, Zuazua, Enrique^1,3,4, enrique.zuazua@fau.de

Source: Foundations of Computational Mathematics; Feb2025, Vol. 25 Issue 1, p1-54, 54p

Third-Order Neutral Difference Equations: Improved Oscillation Criteria via Linearization Method.

Authors: CHATZARAKIS, GEORGE E.¹ gea.xatz@aspete.gr, DEEPALAKSHMI, RAJASEKAR² profdeepalakshmi@gmail.com, SARAVANAN, SIVAGANDHI³ profsaran11@gmail.com, THANDAPANI, ETHIRAJU⁴ ethandapani@yahoo.co.in

Source: Carpathian Journal of Mathematics. 2025, Vol. 41 Issue 1, p57-67. 11p.

Subject Terms: *DIFFERENCE equations, *OSCILLATIONS

Existence of Positive Solutions for Singular Difference Equations with Nonlinear Boundary Conditions.

Authors: Luo, Hua¹ (AUTHOR) loha_u@shisu.edu.cn, Mohamed, Alhussein² (AUTHOR) loha_u@shisu.edu.cn

Source: Symmetry (20738994). Oct2024, Vol. 16 Issue 10, p1313. 13p.

Subject Terms: *NONLINEAR difference equations, *DIFFERENCE equations, *SYMMETRY, *ARGUMENT

On the Periodicity Solutions of Five Systems of Rational Systems of Difference Equations of Order Five.

Authors: AL-Juaid, Jawharah Ghuwayzi¹ jo.gh@tu.edu.sa

Source: European Journal of Pure & Applied Mathematics. Oct2024, Vol. 17 Issue 4, p3254-3267. 14p.

Subject Terms: *NONLINEAR difference equations, *NONLINEAR equations, *DIFFERENCE equations

Linear quadratic optimal control of stochastic 2-D Roesser models.

Authors: Xue, Xiaomin¹, xmxue96@163.com, Xu, Juanjuan¹, juanjuanxu@sdu.edu.cn, Zhang, Huanshui², hszhang@sdu.edu.cn

Source: Mathematics & Computers in Simulation; Jan2025, Vol. 227, p500-510, 11p

Some Remarks on the Best Ulam Constant.

Authors: Brzdęk, Janusz¹ (AUTHOR) brzdek@agh.edu.pl

Source: Symmetry (20738994). Dec2024, Vol. 16 Issue 12, p1644. 14p.

Subject Terms: *FUNCTIONAL equations, *DIFFERENCE equations, *NORMED rings, *BANACH spaces, *LINEAR equations

Continuous data assimilation for the three dimensional primitive equations with magnetic field.

Authors: Zhao, Yongqing¹ (AUTHOR), Liu, Wenjun^1,2 (AUTHOR) wjliu@nuist.edu.cn, Lv, Guangying^1,2 (AUTHOR), Wang, Yuepeng^1,2 (AUTHOR)

Source: Asymptotic Analysis. 2024, Vol. 140 Issue 1/2, p77-108. 32p.

Subject Terms: *DIFFERENCE equations, *DATA assimilation, *MAGNETIC fields, *SENSITIVITY analysis, *EQUATIONS

Global Dynamics of An Exponential Type 3-species Difference System.

Authors: Changyou Wang¹ wangchangyou417@163.com, Tao Yang² 811247770@qq.com, Qiyu Wang² 958751002@qq.com, Lili Jia³ lilijiadianchi@163.com

Source: IAENG International Journal of Applied Mathematics. Oct2024, Vol. 54 Issue 10, p1905-1914. 10p.

Subject Terms: *NONLINEAR difference equations, *LYAPUNOV stability, *BIOLOGICAL systems, *SYSTEMS biology

TOWARD STABILITY INVESTIGATION OF FRACTIONAL DYNAMICAL SYSTEMS ON TIME SCALE.

Authors: MAHDI, NADA K.¹, nada20407@yahoo.com, KHUDAIR, AYAD R.¹, ayadayad1970@yahoo.com

Source: TWMS Journal of Applied & Engineering Mathematics; 2024, Vol. 14 Issue 4, p1495-1513, 19p

Analysis of Random Difference Equations Using the Differential Transformation Method.

Authors: Şişman, Şeyma¹ (AUTHOR), Merdan, Mehmet¹ (AUTHOR) mmerdan@gumushane.edu.tr, Liu, Yansheng¹ (AUTHOR) yanshliu@gmail.com

Source: Journal of Applied Mathematics. 9/18/2024, Vol. 2024, p1-14. 14p.

Subject Terms: *NONLINEAR difference equations, *DISCRETE uniform distribution, *DIFFERENTIAL equations, *DIFFERENCE equations, *INTEGRATED software

On solvability of a two-dimensional symmetric nonlinear system of difference equations.

Authors: Stević, Stevo^1,2 (AUTHOR) sscite1@gmail.com, Iričanin, Bratislav^3,4 (AUTHOR), Kosmala, Witold⁵ (AUTHOR), Šmarda, Zdeněk⁶ (AUTHOR)

Source: Journal of Inequalities & Applications. 8/27/2024, Vol. 2024 Issue 1, p1-17. 17p.

Subject Terms: *NONLINEAR difference equations, *NONLINEAR equations, *DIFFERENCE equations

First- and Second-Order Necessary Optimality Conditions for a Control Problem Described by Nonlinear Fractional Difference Equations.

Authors: Aliyeva, S. T.^1,2, saadata@mail.ru

Source: Automation & Remote Control; Mar2023, Vol. 84 Issue 3, p187-195, 9p