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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)
Competitive autonomous systems in R 3 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 systems under easily checkable hypothesis. Our aim is to introduce , by changing the ordering in R 3 , a new class of… (More)
This paper presents a sufficient condition for the stability of periodic solutions of a newtonian equation. This condition depends on the third order approximation and does not involve small parameters. An application to an equation with cubic potential is given. 1996 Academic Press, Inc.
We consider semilinear elliptic problems of the form ∆u + g(u) = f (x) with Neumann boundary conditions or ∆u + λ 1 u + g(u) = f (x) with Dirichlet boundary conditions, and we derive conditions on g and f under which an upper bound on the number of solutions can be obtained .
This paper studies the existence of bounded solutions of a forced non-linear differential equation of arbitrary order. Necessary and sufficient conditions for the existence of such solutions are obtained. These results are inspired by classical results on the periodic problem, both in the resonant and non-resonant cases.
The method of upper and lower solutions is a classical tool in the theory of periodic differential equations of the second order. We show that this method does not have a direct extension to almost periodic equations. To do this we construct equations of this type without almost periodic solutions but having two constants as ordered upper and lower… (More)
Results of the Landesman–Lazer type provide necessary and sufficient conditions for the existence of periodic solutions of certain nonlinear differential equations with forcing. Typically, they deal with scalar problems. This paper presents a discussion of possible extensions to systems. The emphasis is placed on the new phenomena produced by the increase… (More)
PURPOSE Arterial hypertension is an insulin-resistant condition that has been associated with an increased incidence of diabetes. We assessed the prevalence of glucose abnormalities in a population of patients with essential hypertension. METHODS In this cross-sectional study, 420 consecutively referred essential hypertensive patients were studied at 16… (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)