Suchergebnisse - Ordinary differential equations Stability theory Stability

On the Hyers–Ulam Stability of Bernoulli’s Differential Equation: On the Hyers-Ulam stability of Bernoulli's differential equation

Autoren: Shah, R. Irshad, N.

Quelle: Russian Mathematics. 68:17-24

Schlagwörter: Bernoulli's differential equation, fixed point approach, generalized complete metric space, General theory for ordinary differential equations, Lipschitz condition, Ulam-Hyers stability, Stability theory for ordinary differential equations, Functional equations and inequalities

Dateibeschreibung: application/xml

Ulam-type stability for Caputo-type fractional delay differential equations

Autoren: Hristova Snezhana

Quelle: Demonstratio Mathematica, Vol 58, Iss 1, Pp 222-224 (2025)

Schlagwörter: Caputo-type fractional derivative, delay, caputo-type fractional derivative, 34a08, Fractional ordinary differential equations, Ulam-type stability, Stability theory for ordinary differential equations, 34d99, boundary value problem, fractional differential equation, QA1-939, initial value problem, ulam-type stability, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://doaj.org/article/ef98c96aac654452b9a643d797512d84

Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian: Stability theory of TASE-Runge-Kutta methods with inexact Jacobian

Autoren: Conte Dajana Martin-Vaquero Jesus Pagano Giovanni et al.

Quelle: SIAM Journal on Scientific Computing. 46:A3628-A3657

Schlagwörter: Runge-Kutta methods, TASE operators, stiff problems, stability with inexact Jacobian, unconditional stability, field of values, Numerical Analysis (math.NA), Numerical methods for initial value problems involving ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Numerical methods for stiff equations, FOS: Mathematics, 65L04, 65L06, 65L07, 65L20, 65M12, 65M20, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for ordinary differential equations

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/2401.10088
https://zbmath.org/7955197
https://doi.org/10.1137/24m1631869
https://hdl.handle.net/11588/995699
https://epubs.siam.org/doi/10.1137/24M1631869
https://epubs.siam.org/doi/10.1137/24M1631869
https://doi.org/10.1137/24M1631869
https://hdl.handle.net/11386/4889556
https://epubs.siam.org/doi/10.1137/24M1631869
https://hdl.handle.net/11588/995699
https://doi.org/10.1137/24M1631869

Evaluation of Security System Effectiveness Based on Petri Nets and Ordinary Differential Equations.

Autoren: Cai, Yulong Jin, Hua Wang, Tieying et al.

Quelle: Applied Sciences (2076-3417); Oct2025, Vol. 15 Issue 19, p10335, 21p

Schlagwörter: SECURITY systems, PETRI nets, ASSET protection, COMPUTER simulation, ORDINARY differential equations, STABILITY theory, SYSTEM dynamics, RESOURCE allocation

Input-to-state stability of an ODE–PIDE coupled system with external disturbances.

Autoren: Zhang, Han-Wen Yang, Ya-Jing Feng, Jiang-Tao

Quelle: IMA Journal of Mathematical Control & Information. Jun2025, Vol. 42 Issue 2, p1-24. 24p.

Schlagwörter: *ORDINARY differential equations, *STABILITY theory, *STATE feedback (Feedback control systems), *SLIDING mode control, *COMPUTER simulation, *BACKSTEPPING control method, *PARABOLIC differential equations

Training stiff neural ordinary differential equations with explicit rational Taylor series methods.

Autoren: Fronk, Colby Petzold, Linda

Quelle: Chaos. Jul2025, Vol. 35 Issue 7, p1-26. 26p.

Schlagwörter: *STABILITY theory, *DYNAMIC simulation, *CONTINUOUS time models, *MATHEMATICAL optimization, *ITERATIVE methods (Mathematics)

Finite-time stability analysis of fractional fuzzy differential equations with time-varying delay involving the generalized Caputo fractional derivative

Autoren: Phut, Lai Van

Quelle: Afrika Matematika. 35

Schlagwörter: fractional fuzzy differential equations, Fractional derivatives and integrals, Finite-time stability, finite-time stability, Fractional ordinary differential equations, generalized Caputo fractional derivative, Stability theory for smooth dynamical systems

Dateibeschreibung: application/xml

Piecewise-Analytical Approximation Methods for Initial-Value Problems of Nonlinear, Ordinary Differential Equations: Part 2.

Autoren: Ramos, Juan I.

Quelle: Mathematics (2227-7390); Nov2025, Vol. 13 Issue 21, p3470, 24p

Schlagwörter: TAYLOR'S series, INITIAL value problems, DIFFERENCE equations, STABILITY theory, RICCATI equation, APPROXIMATION algorithms, NONLINEAR differential equations

A Comparative Study on the Impact of Infection on the Stability of Eco-epidemiological Models.

Autoren: Hassan, Kawa Ahmad¹ kawa.hassan@univsul.edu.iq

Quelle: European Journal of Pure & Applied Mathematics. Apr2025, Vol. 18 Issue 2, p1-20. 20p.

Schlagwörter: *ORDINARY differential equations, *ECOSYSTEM management, *STABILITY theory, *LYAPUNOV stability, *PREDATION, *ENDANGERED species

On the stability of Runge–Kutta methods for arbitrarily large systems of ODEs.

Autoren: Tadmor, Eitan¹ (AUTHOR) tadmor@umd.edu

Quelle: Communications on Pure & Applied Mathematics. Apr2025, Vol. 78 Issue 4, p821-855. 35p.

Schlagwörter: *ORDINARY differential equations, *NUMERICAL integration, *STABILITY theory

Analysis of a virus mutation epidemic model with vertical transmission. (English)

Autoren: GAO, Wenzhe LUO, Zhixue CHENG, Xin

Quelle: Acta Scientiarum Naturalium Universitatis Sunyatseni / Zhongshan Daxue Xuebao; Nov2025, Vol. 64 Issue 6, p160-168, 9p

Schlagwörter: VIRAL mutation, VERTICAL transmission (Communicable diseases), COVID-19, EPIDEMIOLOGICAL models, STABILITY theory, ORDINARY differential equations, DISEASE outbreaks

Learning dynamics and convergence of machine learning driven neural ordinary differential equations model for housing price prediction.

Autoren: Luo, Zhikun

Quelle: AIMS Mathematics; 2025, Vol. 10 Issue 10, p1-18, 18p

Schlagwörter: MACHINE learning, HOME prices, STABILITY theory, DYNAMIC models, FEATURE extraction, ECONOMIC indicators, NONLINEAR mechanics

Identification of dynamic models of microbial communities: A workflow addressing identifiability and modeling pitfalls.

Autoren: Paredes-Vázquez, Ana Balsa-Canto, Eva Banga, Julio R.

Quelle: PLoS Computational Biology; 12/1/2025, Vol. 21 Issue 12, p1-22, 22p

Schlagwörter: MICROBIAL communities, DYNAMIC models, QUANTITATIVE research, PARAMETER estimation, ORDINARY differential equations, STABILITY theory, FORECASTING

Connecting scattering, monodromy, and MST's renormalized angular momentum for the Teukolsky equation in Kerr spacetime.

Autoren: Nasipak, Zachary

Quelle: Classical & Quantum Gravity; 8/15/2025, Vol. 42 Issue 16, p1-30, 30p

Schlagwörter: SCATTERING amplitude (Physics), ANGULAR momentum (Mechanics), STABILITY theory, ORDINARY differential equations, KERR black holes, GRAVITATIONAL waves

Influence of the presence of a pathogen and leachate recirculation on a bacterial competition.

Autoren: El Hajji, Miled

Quelle: International Journal of Biomathematics; Oct2025, Vol. 18 Issue 7, p1-23, 23p

Schlagwörter: ORDINARY differential equations, BACTERIAL growth, MICROBIAL virulence, LEACHING, STABILITY theory, PLANT nutrients, SIMULATION methods & models, ANTIBIOSIS

Optimal Control Design for a HIV‐1 Model With Time Delay and Functional Responses.

Autoren: Pradeesh, M. Rihan, Fathalla Ali Prakash, Mani

Quelle: Mathematical Methods in the Applied Sciences; Dec2025, Vol. 48 Issue 18, p16578-16591, 14p

Schlagwörter: HIV, OPTIMAL control theory, ORDINARY differential equations, BIFURCATION theory, STABILITY theory, MATHEMATICAL models, ANTIRETROVIRAL agents

Solitary wave structures, conservation laws and dynamical analysis of the Heisenberg ferromagnet-type equation.

Autoren: Mathanaranjan, Thilagarajah

Quelle: Modern Physics Letters B; 1/10/2026, Vol. 40 Issue 1, p1-17, 17p

Schlagwörter: CONSERVATION laws (Physics), BIFURCATION theory, HEISENBERG model, ORDINARY differential equations, KINEMATICS, WAVE packets, CHAOS theory, STABILITY theory

Low-storage exponentially fitted explicit Runge-Kutta methods.

Autoren: Higueras, I. Montijano, J.I. Rández, L.

Quelle: Applied Numerical Mathematics. Nov2025, Vol. 217, p372-389. 18p.

Schlagwörter: *RUNGE-Kutta formulas, *ORDINARY differential equations, *STABILITY theory, *DIFFERENTIAL equations, *ITERATIVE methods (Mathematics)

Stability Theory for Functional Differential Equations

Autoren: Burton, T. A.

Quelle: Transactions of the American Mathematical Society, 1979 Nov 01. 255, 263-275.

Zugangs-URL: https://www.jstor.org/stable/1998175

Modeling of Soliton Behavior in Nonlinear Transmission Line Systems.

Autoren: Medhit, Sadia Beenish Alshammari, Fehaid Salem et al.

Quelle: Mathematics (2227-7390); Sep2025, Vol. 13 Issue 18, p2997, 19p

Schlagwörter: SOLITONS, NONLINEAR wave equations, WAVE analysis, STABILITY theory, ANALYTICAL solutions, ORDINARY differential equations, TRANSMISSION line theory

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