Results 41 to 50 of about 370,901 (291)
Open Mathematics, 2018 The paper belongs to the qualitative theory of half-linear equations which are located between linear and non-linear equations and, at the same time, between ordinary and partial differential equations.
Hasil Petr, Veselý Michal
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Conditional oscillation of half-linear Euler-type dynamic equations on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We investigate second-order half-linear Euler-type dynamic equations on time scales with positive periodic coefficients. We show that these equations are conditionally oscillatory, i.e., there exists a sharp borderline (a constant given by the ...
Petr Hasil, J. Vítovec
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Oscillation Theory and Renormalized Oscillation Theory for Jacobi Operators
Journal of Differential Equations, 1996 For the difference operator \[ (Hu)(n)= a(n)u(n+1)- a(n-1)u(n-1)- b(n)u(n) \] the dimension of the spectral projection \(P_{(-\infty,\lambda)}(H)\) is expressed in terms of nodes of any solution of the equation \(Hu=\lambda u\). For example: if \(\lambda\) is an eigenvalue of \(H\), then \[ \text{dim Ran }P_{(-\infty,\lambda)} (H)=\#(u_+(\lambda ...
openaire +3 more sources
Space versus energy oscillations of Prufer phases for matrix Sturm-Liouville and Jacobi operators
Electronic Journal of Differential Equations, 2020 This note considers Sturm oscillation theory for regular matrix Sturm-Liouville operators on finite intervals and for matrix Jacobi operators. The number of space oscillations of the eigenvalues of the matrix Prufer phases at a given energy, defined ...
Hermann Schulz-Baldes, Liam Urban
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FEBS Open Bio, EarlyView.Chemotherapy side effects significantly impact cancer survivors' quality of life. Using protein levels in blood samples from breast cancer patients before and after 12 weeks of taxane treatment, we detected treatment‐dependent changes in calcium signaling and aging pathways associated with cancer recurrence.
Saira Munshani +6 more
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An oscillation criterion for inhomogeneous Stieltjes integro-differential equations
International Journal of Mathematics and Mathematical Sciences, 1994 The aim of the paper is to give an oscillation theorem for inhomogeneous Stieltjes integro-differential equation of the form p(t)x′+∫atx(s)dσ=f(t). The paper generalizes the author's work [2].
M. A. El-Sayed
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Phase Synchronization and Polarization Ordering of Globally-Coupled Oscillators [PDF]
, 2004 We introduce a prototype model for globally-coupled oscillators in which each element is given an oscillation frequency and a preferential oscillation direction (polarization), both randomly distributed.
A. Pikovsky +10 more
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Lessons Learned From a Delayed‐Start Trial of Modafinil for Freezing of Gait in Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Freezing of gait (FOG) in people with Parkinson's disease (PwPD) is debilitating and has limited treatments. Modafinil modulates beta/gamma band activity in the pedunculopontine nucleus (PPN), like PPN deep brain stimulation. We therefore tested the hypothesis that Modafinil would improve FOG in PwPD.
Tuhin Virmani +8 more
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Aspects of Neutrino Oscillation in Alternative Gravity Theories
, 2015 Neutrino spin and flavour oscillation in curved spacetime have been studied for the most general static spherically symmetric configuration. Using the symmetry properties we have derived spin oscillation frequency for neutrino moving along a geodesic or ...
Chakraborty, Sumanta
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Emerging evidence suggests that low‐frequency neural oscillations are dynamically regulated by consciousness levels, with the recovery of low cortical activity potentially serving as a neurophysiological substrate for conscious emergence. Targeted enhancement of these low‐frequency rhythms in patients with disorders of consciousness
Chuan Xu +10 more
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