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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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 Hill's equation with periodic damping
Journal of Mathematical Analysis and Applications, 2003 In this elegant and well-written paper, the authors study the second-order linear differential equation with damping \[ y^{\prime\prime}+p(t)y^{\prime}+q(t)=0,\qquad t\geq0,\tag{1} \] where \(p(t)\) and \(q(t)\) are continuous periodic functions of period \(T.\) It is a well-known fact that the second-order linear differential equation \[ u^{\prime ...
Kwong, Man Kam, Wong, James S.W.
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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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On Nonoscillation of Advanced Differential Equations with Several Terms
Abstract and Applied Analysis, 2011 Existence of positive solutions for advanced equations with several terms is investigated in the following three cases: (a) all coefficients ak are positive; (b) all coefficients ak are negative; (c) there is an equal number of positive and negative coefficients. Results on asymptotics of nonoscillatory solutions are also presented.
Berezansky, L., Braverman, E.
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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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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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Non-oscillation of half-linear differential equations with periodic coefficients
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We consider half-linear Euler type differential equations with general periodic coefficients. It is well-known that these equations are conditionally oscillatory, i.e., there exists a border value given by their coefficients which separates oscillatory ...
Petr Hasil, Michal Veselý
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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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