Results 61 to 70 of about 30,034 (265)
Electronic Journal of Qualitative Theory of Differential Equations, 2013 Monotonicity of solutions is an important property in the investigation of oscillatory behaviors of differential equations. A number of papers provide some existence criteria for eventually positive increasing solutions.
Shao-Yuan Huang, Sui Sun Cheng
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Make‐Use‐Remake: Toward Indefinite Low‐Temperature Material Loops
Advanced Functional Materials, EarlyView.We introduce a regenerable materials platform built from microparticles bound by a temperature‐responsive polymer shell, enabling strong, processable structures from diverse feedstocks. The material is shaped at low temperatures (80°C) using common manufacturing methods and reprocessed repeatedly in the presence of water, demonstrating stable ...
Nikola Křivánková +2 more
wiley +1 more source
THE OSCILLATION CRITERIA FOR NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS
Demonstratio Mathematica, 2005 The authors discuss the problem of oscillation of a class of nonlinear neutral type integro-differential equations with continuous distributed delays. They give a necessary and sufficient and a sufficient condition for oscillation.
Bater, Jiriga, Min, Yi
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Advanced Healthcare Materials, EarlyView.This review examines how cellular behavior is regulated by mechanical cues transmitted through soft biomaterials, from single‐cell mechanosensing to tissue‐level adaptation. It highlights why physiological relevance, rather than model complexity alone, is critical for translational mechanobiology and introduces a scoring framework linking material ...
Mathias Polz +9 more
wiley +1 more source
Oscillation of solution to second-order half-linear delay dynamic equations on time scales
Electronic Journal of Differential Equations, 2016 This article concerns the oscillation of solutions to second-order half-linear dynamic equations with a variable delay. By using integral averaging techniques and generalized Riccati transformations, new oscillation criteria are obtained.
Hongwu Wu, Lynn Erbe, Allan Peterson
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Advanced Healthcare Materials, EarlyView.Catechol‐functionalized cellulose hydrogels are developed as injectable, bioadhesive platforms for retinal neuroprotection. The hydrogels exhibit tunable rheological and mechanical properties, strong tissue adhesion, and sustained antioxidative activity.
Kai‐Hsiang Chang +4 more
wiley +1 more source
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 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\
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