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Asymptotic Behavior of Oscillating Radial Solutions to Certain Nonlinear Equations [PDF]
Methods and Applications of Analysis, 2008 A typical example is that f(u) = u−μ1u −μ2 with constants p > max(q, 0). This kind of semilinear equation appears in several applications in mechanics and physics. In particular, it has been used to model the dynamics of thin films for viscous liquids. Some detailed physics background can be found in [1]-[3], [9] and [12]-[14]. Some recent mathematical
Changfeng Gui, Feng Zhou
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Asymptotic Behavior of Solutions of Emden-Fowler Difference Equations with Oscillating Coefficients
Journal of Mathematical Analysis and Applications, 1993 The author studies Emden-Fowler difference equations of the form \((*)\) \(\Delta^ 2 y_{n-1} = p_ n(y_ n)^ \gamma\) without sign restrictions on the coefficient \(p_ n\). Sufficient conditions for the existence of any solution \(\{y_ n\}\) of \((*)\) such that \(| y_ n-c | \leq \varphi_ n\) (with \(| \Delta y_ n | \leq \varphi_ n/(n+1))\) or \(| y_ n ...
William F. Trench
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Adaptive fuzzy control for tendon-sheath actuated bending-tip system with unknown friction for robotic flexible endoscope [PDF]
Frontiers in NeuroscienceIntroductionThe tendon-sheath actuated bending-tip system (TAB) has been widely applied to long-distance transmission scenes due to its high maneuverability, safety, and compliance, such as in exoskeleton robots, rescue robots, and surgical robots design.
Fan Ren +6 more
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Probing the Oscillatory Behavior of Internet Game Addiction via Diffusion PDE Model
Axioms, 2022 We establish a non-linear diffusion partial differential equation (PDE) model to depict the dynamic mechanism of Internet gaming disorder (IGD). By constructing appropriate super- and sub-solutions and applying Schauder’s fixed point theorem and ...
Kaihong Zhao
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Trends in Computational and Applied Mathematics, 2021 The asymptotic homogenization method is applied here to one-dimensional boundary-value problems for nonlinear differential equations with rapidly oscillating piecewise-constant coefficients which model the behavior of nonlinear microperiodic composites,
R. Décio Jr +2 more
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Axioms, 2020 In this paper, we consider a system with rapidly oscillating coefficients, which includes an integral operator with an exponentially varying kernel. The main goal of the work is to develop an algorithm for the regularization method for such systems and ...
Burkhan Kalimbetov, Valeriy Safonov
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Advanced Nonlinear Studies, 2023 In this work, we analyze the asymptotic behavior of a class of quasilinear elliptic equations defined in oscillating (N+1)\left(N+1)-dimensional thin domains (i.e., a family of bounded open sets from RN+1{{\mathbb{R}}}^{N+1}, with corrugated bounder ...
Nakasato Jean Carlos +1 more
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Numerical approach to an age-structured Lotka-Volterra model
Mathematical Biosciences and Engineering, 2023 We study the impact of an age-dependent interaction in a structured predator-prey model. We present two approaches, the PDE (partial differential equation) and the renewal equation, highlighting the advantages of each one.
Jordi Ripoll , Jordi Font
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Heat transfer analysis of MHD thin film flow of an unsteady second grade fluid past a vertical oscillating belt. [PDF]
PLoS ONE, 2014 This article aims to study the thin film layer flowing on a vertical oscillating belt. The flow is considered to satisfy the constitutive equation of unsteady second grade fluid.
Taza Gul +5 more
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Applied Sciences, 2021 The method of analytical preconditioning combines the discretization and the analytical regularization of a singular integral equation in a single step.
Mario Lucido
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