Results 81 to 90 of about 33,056 (296)
OSCILLATION CRITERIA OF DIFFERENTIAL EQUATIONS OF SECOND ORDER [PDF]
Korean Journal of Mathematics, 2011 Summary: We give sufficient conditions that the homogeneous differential equations : for \(t\geq t_0 (> 0)\), \[ \begin{aligned} x^{\prime\prime} (t) + q(t)x^\prime (t) + p(t)x(t) = 0, \\ x^{\prime\prime} (t) + q(t)x^\prime (t) + F (t, x (\phi)(t))) = 0 \end{aligned} \] are oscillatory where \(0 \leq \phi (t)\), \(0 < \phi^\prime (t)\), \(\displaystyle\
openaire +2 more sources
Oscillation Criteria for Second Order Linear Differential Equations
, 1995 Some oscillation criteria are given for the second order linear differential equation [r(t)u′(t)]′ + c(t)u(t) = 0, where r(t) ∈ C1([t0, ∞); (0, ∞)) and c(t) ∈ C([t0, ∞); R).
Li, H.J.
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Advanced Materials Technologies, EarlyView.Hierarchical multi‐material TPMS lattices are engineered as flexible tactile sensors by combining soft and stiff elastomeric layers with a conformal conductive coating. The bilayer architecture delivers sensitivity at low pressures while maintaining a broad detectable range under large loads, enabling reliable pressure and vibration monitoring for ...
Reza Noroozi +3 more
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Oscillation Criteria Enhanced for Advanced Half-Linear Dynamic Equations
Journal of MathematicsThe purpose of this study is to develop new iterative oscillation criteria for second-order half-linear advanced dynamic equations. These findings improve and extend recently established criteria for the same equation by several authors as well as ...
Taher S. Hassan +5 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we establish a Picone-type inequality for a class of some nonlinear elliptic type equations with damped terms, and obtain Sturmian comparison theorems using the Picone-type inequality.
Aydin Tiryaki, Sinem Sahiner
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Advances in Difference Equations, 2020 The objective in this work is to study oscillation criteria for second-order quasi-linear differential equations with an advanced argument. We establish new oscillation criteria using both the comparison technique with first-order advanced differential ...
G. E. Chatzarakis +3 more
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Oscillation Criteria for Third-Order Nonlinear Delay Difference Equations
, 2014 In this paper, we are concerned with oscillation of a class of third-order nonlinear delay difference equation of the form We establish some new oscillation criteria by transforming this equation to the first- order delayed ...
Raghupathi, T.J.
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Stable Imitation of Multigait and Bipedal Motions for Quadrupedal Robots Over Uneven Terrains
Advanced Robotics Research, EarlyView.How are quadrupedal robots empowered to execute complex navigation tasks, including multigait and bipedal motions? Challenges in stability and real‐world adaptation persist, especially with uneven terrains and disturbances. This article presents an imitation learning framework that enhances adaptability and robustness by incorporating long short‐term ...
Erdong Xiao +3 more
wiley +1 more source
Oscillation criteria for nonlinear fractional differential equation with damping term
, 2016 In this paper, we study the oscillation of solutions to a non-linear fractional differential equation with damping term. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. By using a variable transformation, a
Bayram, Mustafa +3 more
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Oscillation criteria of the second-order nonlinear neutral difference equations
, 2020 This paper is concerned with oscillation of second-order nonlinear dynamic equations of the form r t y t p t y τ t f 2 t, y δ 2 t 0 on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation ...
Shao-Yan Zhang, Qi-Ru Wang
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