Results 31 to 40 of about 174,713,239 (293)
Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type
Discrete Dynamics in Nature and Society, 2018 We consider the discrete Volterra type equation of the form Δ(rnΔxn)=bn+∑k=1nK(n,k)f(xk). We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior. Moreover, we study the asymptotic behavior of solutions. We use
Janusz Migda +2 more
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Asymptotic behavior of oscillatory solutions
Hiroshima Mathematical Journal, 1988 The aim in this paper is to study the asymptotic behavior of the oscillatory solutions of certain delay differential equations of the form \[ (1)\quad x'(t)+p(t)x(t-\tau)+q(t)x(t-\sigma)=0,\quad t\geq t_ 0 \] and of certain neutral equations of the form \[ (2)\quad (d/dt)[x(t)- px(t-\tau)]+q(t)x(t-\sigma)=0,\quad t\geq t_ 0.
Ladas, G., Sficas, Y. G.
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Asymptotic behavior of solutions to the multidimensional semidiscrete diffusion equation [PDF]
, 2022 We study the asymptotic behavior of solutions to the multidimensional diffusion (heat) equation with continuous time and discrete space. We focus on initial-value problems with bounded initial data, and provide sufficient conditions for the existence of ...
Slavík Antonín, Slavík, Antonín
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Asymptotic properties of one differential equation with unbounded delay [PDF]
, 2012 summary:We study the asymptotic behavior of the solutions of a differential equation with unbounded delay. The results presented are based on the first Lyapunov method, which is often used to construct solutions of ordinary differential equations in the ...
Svoboda, Zdeněk
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Asymptotic Behavior of Solutions to Half-Linear q-Difference Equations
Abstract and Applied Analysis, 2011 We derive necessary and sufficient conditions for (some or all) positive solutions of the half-linear q-difference equation Dq(Φ(Dqy(t)))+p(t)Φ(y(qt))=0, t∈{qk:k∈N0} with q>1, Φ(u)=|u|α−1sgnu with α>1, to behave like
Pavel Řehák
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ASYMPTOTIC SOLUTIONS OF A PARABOLIC EQUATION NEAR SINGULAR POINTS OF \(A\) AND \(B\) TYPES
Ural Mathematical Journal, 2019 The Cauchy problem for a quasi-linear parabolic equation with a small parameter multiplying a higher derivative is considered in two cases when the solution of the limit problem has a point of gradient catastrophe. Asymptotic solutions are found by using
Sergey V. Zakharov
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On the Asymptotic Behavior of Solutions of Linear Differential Equations [PDF]
Ukrainian Mathematical Journal, 2003 Summary: We present sufficient conditions for the linear asymptotic equilibrium of linear differential equations in Hilbert and Banach spaces. The results obtained are applied to studying the asymptotic equivalence of two linear differential equations.
Nguyen Minh Man, Nguyen The Hoan
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Asymptotic behavior of solutions of quasilinear differential-algebraic equations [PDF]
, 2022 This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations (DAEs) under small nonlinear perturbations.
Linh Vu Hoang +2 more
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source