Results 51 to 60 of about 218,183 (349)
Electronic Journal of Differential Equations, 2007 In this paper sufficient conditions are obtained so that every solution of $$ (y(t)- p(t)y(t-au))'+ Q(t)G(y(t-sigma))-U(t)G(y(t-alpha)) = f(t) $$ tends to zero or to $pm infty$ as $t$ tends to $infty$, where $au ,sigma ,alpha$ are positive real numbers, $
Prayag Prasad Mishra +2 more
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Oscillatory solutions of nonlinear fourth order differential equations with a middle term
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We study the oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions.
Miroslav Bartusek, Zuzana Dosla
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International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley +1 more source
Asymptotic behaviour of solutions to $n$-order functional differential equations
Electronic Journal of Differential Equations, 2005 We establish conditions for the linear differential equation $$ y^{(n)}(t)+p(t)y(g(t))=0 $$ to have property A. Explicit sufficient conditions for the oscillation of the the equation is obtained while dealing with the property A of the equations.
Seshadev Padhi
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Mathematics, 2021 This is the first on a series of articles that deal with nonlinear dynamical systems under oscillatory input that may exhibit harmonic and non-harmonic frequencies and possibly complex behavior in the form of chaos.
Elena Hernandez +3 more
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A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
International Journal of Adaptive Control and Signal Processing, EarlyView.Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg +5 more
wiley +1 more source
On asymptotic behaviour of oscillatory solutions for fourth order differential equations
Electronic Journal of Differential Equations, 2007 We establish sufficient conditions for the linear differential equations of fourth order $$ (r(t)y'''(t))' =a(t)y(t)+b(t)y'(t)+c(t)y''(t)+f(t) $$ so that all oscillatory solutions of the equation satisfy $$ lim_{toinfty}y(t)=lim_{toinfty}y'(t)=lim_ ...
Seshadev Padhi, Chuanxi Qian
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Electronic Journal of Differential Equations, 2020 In this article, we obtain sufficient conditions so that all solutions of the neutral difference equation $$ \Delta^{2}\big(y_n-p_n L(y_{n-s})\big) + q_nG(y_{n-k})=0, $$ and all unbounded solutions of the neutral difference equation $$ \Delta^{2}
Ajit Kumar Bhuyan +2 more
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Abstract and Applied Analysis, 2011 We focus on studying approximate solutions of damped oscillatory solutions of generalized KdV-Burgers equation and their error estimates. The theory of planar dynamical systems is employed to make qualitative analysis to the dynamical systems which ...
Weiguo Zhang, Xiang Li
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Oscillation of Third-Order Differential Equations with Advanced Arguments
Mathematics, 2023 The main objective of this work was to study some oscillatory and asymptotic properties of a new class of advanced neutral differential equations. Using new relations to link the solution and its corresponding function, we introduced new oscillatory ...
Munirah Aldiaiji +4 more
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