Results 51 to 60 of about 494 (181)
Unusual Nonpolynomial Van der Pol Oscillator Equations With Exact Harmonic and Isochronous Solutions
We do not know Van der Pol-type equations with nonlinear restoring force having explicitly an exact periodic solution. We present, for the first time, nonpolynomial Van der Pol oscillator equations that do not satisfy the classical existence theorems. We
Kolawolé Kêgnidé Damien Adjaï +3 more
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Nonoscillatory solutions of neutral differential equations
The paper deals with the neutral ODE \((*)\quad (d^ n/dt^ n)(x(t)- h(t)x(s(t)))+kp(t)f(x(g(t)))=0,\) \(n\geq 2\), \(k^ 2=1\), \(s(t)0\) for \(u\neq 0\), g(t)\(\to \infty\), \(t\to \infty\). A systematic study of the structure of all nonoscillatory solutions of the equation (*) is given.
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In this paper, we investigate the oscillatory behavior of a class of first‐order advanced differential equations involving the generalized Hausdorff derivative. By employing a recursive sequence method in combination with a Riccati transformation technique, we establish several new sufficient conditions that guaranty the oscillation of all solutions ...
Fatima Zohra Ladrani +4 more
wiley +1 more source
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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On the Asymptotic Behavior of the Nonoscillatory Solutions of Differential Equations with Deviating Arguments [PDF]
Mathematische ...
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This study develops a robust hybrid numerical scheme for a class of time‐dependent, singularly perturbed differential‐difference equations characterized by a small positive parameter multiplying the highest order derivative term and mixed spatial shifts (delay and advance) in the reaction terms.
Ababi H. Ejere +4 more
wiley +1 more source
Asymptotic behaviour of solutions to $n$-order functional differential equations
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
doaj
In this study, the nonlinear partial differential equation that governs the free vibration of a carbon nanotube composite beam is analytically investigated using the truncated M‐fractional derivative. This model is a beam supported by a nonlinear viscoelastic base and reinforced by carbon nanotubes.
Nadia Javed +7 more
wiley +1 more source
Non-oscillatory behaviour of higher order functional differential equations of neutral type
In this paper, we obtain sufficient conditions so that the neutral functional differential equation $$displaylines{ ig[r(t) [y(t)-p(t)y(au (t))]'ig]^{(n-1)} + q(t) G(y(h(t))) = f(t) }$$ has a bounded and positive solution.
Laxmi Narayan Padhy +3 more
doaj
Manipulator Control Using CSRT Algorithm in Image‐Based Visual Servoing Technique and ROS 2 Tools
Achieving precise robotic manipulation is difficult when objects are unknown or not pretrained, and the environment is unpredictable. Traditional cameras often struggle with depth perception and lag when a robot gets close to its target. To address these limitations, this study explores the design and implementation of an image‐based visual servoing ...
Md Masrul Khan +4 more
wiley +1 more source

