On oscillation of a food-limited population model with time delay
Abstract and Applied Analysis, 2003 For a scalar nonlinear delay differential equation Ṅ(t) = r(t)N(t)(K − N(h(t)))/(K + s(t)N(g(t))),r(t) ≥ 0, h(t) ≤ t, g(t) ≤ t and some generalizations of this equation, we establish explicit oscillation and nonoscillation conditions.
Leonid Berezansky, Elena Braverman
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Cytosolic Ca2+-dependent Ca2+ release activity primarily determines the ER Ca2+ level in cells expressing the CPVT-linked mutant RYR2. [PDF]
J Gen Physiol, 2022 Kurebayashi N +10 more
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Oscillation and nonoscillation of two terms linear and half-linear equations of higher order
Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this paper we investigate the properties of nonoscillation for the equation $$(-1)^{n}(\rho(t)|y^{(n)}|^{p-2}y^{(n)})^{(n)}-v(t)|y|^{p-2}y=0,$$ where ...
Ryskul. Oinarov, S. Y. Rakhimova
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Existence of non-oscillatory solutions for second-order advanced half-linear differential equations
Electronic Journal of Differential Equations, 2013 In this article, we establish the necessary and sufficient conditions for existence of non-oscillatory solutions for the second-order advanced half-linear differential equation $$ ig(r(t)|x'(t)|^{alpha-1}x'(t)ig)'+p(t)|x(h(t)ig)|^{alpha-1}x(h(t))=0,
Aijun Cheng, Zhiting Xu
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Half-linear discrete oscillation theory
Electronic Journal of Qualitative Theory of Differential Equations, 2000 Oscillatory properties of the second order half-linear difference equation $$\Delta(r_k|\Delta y_k|^{\alpha-2}\Delta y_k)+p_k|y_{k+1}|^{\alpha-2}y_{k+1}=0,$$ where $\alpha>1$, are investigated.
Pavel Řehák
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Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients
Abstract and Applied Analysis, 2012 We investigate a type of the Sturm-Liouville difference equations with almost periodic coefficients. We prove that there exists a constant, which is the borderline between the oscillation and the nonoscillation of these equations.
Petr Hasil, Michal Veselý
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Nonoscillation Criteria for Two-Dimensional Time-Scale Systems
Nonautonomous Dynamical Systems, 2016 We study the existence and nonexistence of nonoscillatory solutions of a two-dimensional systemof first-order dynamic equations on time scales. Our approach is based on the Knaster and Schauder fixed point theorems and some certain integral conditions ...
Öztürk Özkan, Akın Elvan
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Detecting Spontaneous Neural Oscillation Events in Primate Auditory Cortex. [PDF]
eNeuro, 2022 Neymotin SA +14 more
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Schwarzian Derivatives and Uniform Local Univalence
, 2007 Quantitative estimates are obtained for the (finite) valence of functions analytic in the unit disk with Schwarzian derivative that is bounded or of slow growth. A harmonic mapping is shown to be uniformly locally univalent with respect to the hyperbolic
Chuaqui, Martin +2 more
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In vitro cell cycle oscillations exhibit a robust and hysteretic response to changes in cytoplasmic density. [PDF]
Proc Natl Acad Sci U S A, 2022 Jin M, Tavella F, Wang S, Yang Q.
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