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with z=q+ip, H=| 2T |z| +;1 4T |z| + } } } +;n&1 2nT |z| +r(t, z, z ). The coefficients |, ;1 , ..., ;n&1 are real and r is a T-periodic remainder of order o( |z| ), see [, appendice 7]. This is the Birkhoff Normal Form and the numbers ;1 , ..., ;n&1 ,... are the so called twist coefficients. They depend on the derivatives of f (evaluated at % ) up to… (More)
Capnography, the graphic display of the exhaled and inhaled carbon dioxide concentration plotted against time, is used to monitor ventilation. This video reviews the principles of capnography and explains how to interpret the information it provides.
OBJECTIVE The study aimed to describe the prevalence and severity of neuropsychiatric symptoms in patients with Alzheimer's disease (AD) and vascular dementia (VaD). PATIENTS AND METHODS We prospectively studied 65 patients with dementia, 37 met the criteria of NINCDS-ADRDA for probable AD and 28 the clinical and radiological criteria of NINDS-AIREN for… (More)
Motivated by the problem of the existence of a solution of the nonlinear telegraph equation wt + clll u,, + h(t. c, u) = 0, such that u(t, ,) satisfies suitable boundary conditions over (0,~) ar;d Ilu(t,.)II is bounded over W for some function space norm 11 11: we prove the existence of bounded solutions over R of semilinear evolution equations in a Hilbert… (More)
BACKGROUND Patients with heparin-induced thrombocytopenia II (HIT II) need an alternative nonheparin-based method of anticoagulation for cardiopulmonary bypass (CPB) to prevent thrombosis and thrombosis related complications. METHODS Bivalirudin was used during CPB and deep hypothermic circulatory arrest (DHCA) for resection of multiple right atrial… (More)
Let L s L u be a linear differential operator acting on functions u: V a R that are defined on a fixed manifold V. These functions will belong to a Ž . certain family B ; F V, R , and the definition of B may include some boundary conditions or other requirements that must be satisfied by any function u g B. It is said that L satisfies the maximum principle… (More)
COMPETITIVE SYSTEMS AND ORBITAL STABILITY IN R RAFAEL ORTEGA AND LUIS ÁNGEL SÁNCHEZ (Communicated by Hal L. Smith) Abstract. Competitive autonomous systems in R3 have the remarkable property of verifying an analogue of the Poincaré-Bendixon theorem for planar equations. This fact allows us to prove the existence of orbitally stable closed orbits for those… (More)
We consider a forced harmonic oscillator at resonance with a nonlinear perturbation and obtain a sharp condition for the existence of unbounded motions. Such a condition is extended to the case of a semilinear vibrating string. AMS classification scheme numbers: 34C11, 35L05
Team-based learning is a relatively new educational approach in which learning occurs in three phases. Team-based learning is so named because in the third and final phase, students are organized into teams to participate in a classroom team-based learning session. In the Department of Anesthesiology at Boston University Medical Center, a multi-purpose… (More)
After establishing a relation between the Hill’s equations and the Emarkov-Pinney equations, we are able to use degree theory to remove a technical assumption in , and give a complete set of non-resonance conditions for differential equations with repulsive singularities. 2000 Mathematics Subject Classification. Primary: 34C25; Secondary: 34B18, 34D20.