Oscillation and global asymptotic stability of a neuronic equation with two delays
In this paper we study the oscillatory and global asymptotic stability of a single neuron model with two delays and a general activation function. New sufficient conditions for the oscillation and nonoscillation of the model are given.
Hassan A. El-Morshedy, B. M. Elmatary
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Hybrid motion artifact detection and correction approach for functional near-infrared spectroscopy measurements. [PDF]
Gao L +7 more
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Oscillation and Nonoscillation of Asymptotically Almost Periodic Half-Linear Difference Equations
We analyse half-linear difference equations with asymptotically almost periodic coefficients. Using the adapted Riccati transformation, we prove that these equations are conditionally oscillatory.
Michal Veselý, Petr Hasil
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New oscillation criteria for third order nonlinear functional differential equations
The authors consider the general third order functional differential equation \begin{align*} \left(a_{2}(\nu)\left[\left(a_{1}(\nu)\left(x'(\nu)\right)^{\alpha_{1}}\right)'\right]^{\alpha_{2}}\right)'+q(\nu) x^{\beta}(\tau(\nu))=0,\qquad\nu\geq \nu_{0},
John Graef, Said Grace, Gokula Chhatria
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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]
Kurebayashi N +10 more
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In the current paper, we aim to study the oscillatory behavior of a new class of third-order differential equations. In the present study, we are interested in a better understanding of the relationships between the solutions and their derivatives.
Najiyah Omar +5 more
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On oscillation of a food-limited population model with time delay
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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Existence of non-oscillatory solutions for second-order advanced half-linear differential equations
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 $$ ig(r(t)|x'(t)|^{alpha-1}x'(t)ig)'+p(t)|x(h(t)ig)|^{alpha-1}x(h(t))=0,
Aijun Cheng, Zhiting Xu
doaj
Oscillation and nonoscillation of two terms linear and half-linear equations of higher order
In this paper we investigate the properties of nonoscillation for the equation $$(-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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Detecting Spontaneous Neural Oscillation Events in Primate Auditory Cortex. [PDF]
Neymotin SA +14 more
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