Results 101 to 110 of about 5,648,332 (271)

On oscillation of half-linear functional-differential equations with deviating arguments

Hiroshima Mathematical Journal, 1994
This paper is devoted to the study of the oscillatory behavior of semilinear functional differential equations of the type \[ \biggl( \bigl |x'(t) \bigr |^\alpha \text{sign} x'(t) \biggr)' = \sum^n_{i = 1} p_i (t) \biggl |x \bigl( g_i(t) \bigr) \biggr |^\alpha \text{sgn} x \bigl( g_i(t) \bigr), \tag{A} \] where \(\alpha > 0\), \(p_i : [0, \infty) \to ...
Kusano, Takaŝi, Lalli, B. S.
openaire   +3 more sources

Stage‐Dependent β‐Synuclein Links MRI and Cognitive Decline in Alzheimer's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Synaptic degeneration drives cognitive decline in Alzheimer's disease (AD), but synaptic biomarkers are scarce. Brain‐enriched β‐synuclein emerged as a synaptic damage marker. We investigated its diagnostic, prognostic, and structural correlates across the AD continuum.
Ulaş Ay, Merve Alaylioglu, Erdi Sahin, Sanem Sultan Yoruk Oner, Gulce Iskan, Gulce Cosku Yilmaz Cakan, Gozde Kizilates‐Evin, Emre Hari, Elif Kurt, Erdinc Dursun, Basar Bilgic, Hasmet Hanagasi, Hakan Gurvit, Tamer Demiralp, Duygu Gezen‐Ak, Bedia Samanci   +15 more
wiley   +1 more source

A remark on the linearization technique in half-linear oscillation theory [PDF]

Opuscula Mathematica, 2006
We show that oscillatory properties of the half-linear second order differential equation \[(r(t)\Phi(x'))'+c(t)\Phi(x)=0,\qquad\Phi(x)=|x|^{p-2}x,\quad p\gt 1,\] can be investigated via oscillatory properties of a certain associated second order linear ...
Ondřej Došlý
doaj  

Oscillatory behavior of the second order noncanonical differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2019
Establishing monotonical properties of nonoscillatory solutions we introduce new oscillatory criteria for the second order noncanonical differential equation with delay/advanced argument \begin{equation*} (r(t)y'(t))'+p(t)y(\tau(t))=0. \end{equation*}
Blanka Baculíková
doaj   +1 more source

Neurological, Neurodevelopmental and Treatment Outcomes in Patients With Pyruvate Dehydrogenase Complex Deficiency

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective The aim of this study was to characterize intellectual and motor function, neurological features including epilepsy, treatment response, and adaptive behavior in patients with pyruvate dehydrogenase complex deficiency (PDCD) in Sweden.
Antri Savvidou, Colin Reilly, Kalliopi Sofou, Sofia Ygberg, Erik A. Eklund, Karin Naess, Niklas Darin   +6 more
wiley   +1 more source

Riccati-type inequality and oscillation criteria for a half-linear PDE with damping

Electronic Journal of Differential Equations, 2004
Under suitable conditions on the coefficients of a partial differential equation, we prove a Riccati-type inequality. As an application of this result, we find oscillation criteria for second order damped half-linear partial differential equations. These
Robert Marik
doaj  

Comparison theorems for even order half-linear differential equations

Applied Mathematics Letters, 2012
The author establishes some generalization of Picone's formula for half-linear differential operators and presents its application to comparison ...
openaire   +3 more sources

High Health Care Utilization Preceding Diagnosis With Juvenile Idiopathic Arthritis

Arthritis Care &Research, EarlyView.
Objective Although early diagnosis improves long‐term outcomes, patients with juvenile idiopathic arthritis (JIA) often experience prolonged, circuitous paths to diagnosis. To inform diagnostic improvement, we sought to characterize health care utilization in the year preceding diagnosis. Methods We identified 10,021 patients with an incident diagnosis
Anna Costello, Rui Xiao, Xuemei Zhang, Jahan Jazayeri, Irit R. Rasooly, Pamela F. Weiss   +5 more
wiley   +1 more source

Trajectories of Physical Function in Canadian Children With Juvenile Idiopathic Arthritis

Arthritis Care &Research, EarlyView.
Objective We describe trajectories of physical function in children newly diagnosed with juvenile idiopathic arthritis (JIA) and identify trajectories with persisting functional impairments and associated baseline characteristics. Methods We included patients enrolled in the Canadian Alliance of Pediatric Rheumatology Investigators (CAPRI) Registry ...
Clare Cunningham, Meghan McPherson, Lillian Lim, Roberta A. Berard, Matthew Berkowitz, Jean‐Philippe Proulx‐Gauthier, Brian M. Feldman, Nicole Johnson, Dax G. Rumsey, Heinrike Schmeling, Lori B. Tucker, Thomas Loughin, Kristin M. Houghton, Jaime Guzman, for the Canadian Alliance of Pediatric Rheumatology Investigators (CAPRI) Registry Investigators, David A. Cabral, Gaëlle Chédeville, Ciarán M. Duffy, Kerstin Gerhold, Jaime Guzman, Linda Hiraki, Adam M. Huber, Heinrike Schmeling, Natalie J. Shiff, Lori B. Tucker, Julie Barsalou, Daniah Basodan, Michelle Batthish, Roberta A. Berard, Nicholas Blanchette, Gilles Boire, Roxana Bolaria, Alessandra Bruns, David A. Cabral, Sarah Campillo, Tania Cellucci, Mercedes Chan, Gaëlle Chédeville, Amieleena Chhabra, Julie Couture, Paul Dancey, Jean‐Jacques De Bruycker, Erkan Demirkaya, Muhammed Dhalla, Ciarán M. Duffy, Talal El Tal, Tommy Gerschman, Jaime Guzman, Liane Heale, Julie Herrington, Kristin M. Houghton, Adan M. Huber, Andrea Human, Nicole Johnson, Roman Jurencak, Bianca Lang, Claire LeBlanc, Lillian Lim, Lily S. H. Lim, Nadia Luca, Jeanine McColl, Tara McGrath, Tamara McMillan, Megan McPherson, Paivi Miettunen, Kimberly Morishita, Honyan Ng, Jonathan Park, Jean‐Philippe Proulx‐Gauthier, Johannes Roth, Evelyn Rozenblyum, Dax G. Rumsey, Heinrike Schmeling, Rosie Scuccimarri, Gordon Soon, Rebeka Stevenson, Elizabeth Stringer, Herman Tam, Lori B. Tucker, Marinka Twilt, Ruud H. J. Verstegen, Karen Watanabe Duffy   +81 more
wiley   +1 more source

Criteria for oscillation of noncanonical superlinear half-linear dynamic equations

Scientific Reports
Abstract This article comes up with criteria to make sure that the solutions to superlinear, half-linear, and noncanonical dynamic equations oscillate in both advanced and delayed cases; these criteria are comparable to the Hille-type and Ohriska-type criteria for the canonical nonlinear dynamic equations; and also these results solve an open ...
Hassan, T. S., Cesarano, C., Mesmouli, M. B., Madani, Y. A., Abdel, Menaem, A., Tchalla, A. M. J., Glalah, B. A.   +6 more
openaire   +4 more sources