This paper studies a coupled system of nonlinear fractional differential equation with three-point boundary conditions. Applying the Schauder fixed point theorem, an existence result is proved for the following system D α u (t) = f (t, v (t) , D m v (t)) , t ∈ (0, 1) , D β v (t) = g (t, u (t) , D n u (t)) , t ∈ (0, 1) , u (0) = 0, D θ u (1) = δD θ u (η) , v… (More)
Recently, Hoke et al. (1989) and Pantev et al. (1989) demonstrated that the auditory evoked cortical magnetic field (AECMF) M100 component was larger, and M200 was smaller and occurred later in subjects with unilateral tinnitus compared with normal subjects. These group amplitude differences resulted in an M200/M100 amplitude ratio that was smaller for the… (More)
BACKGROUND The use of continuous electromyographic and somatosensory-evoked-potential monitoring systems has been advocated to assist in avoiding nerve-root injury during operations on the pelvic ring. More recently, it was suggested that stimulus-evoked electromyographic monitoring may further decrease the risk of iatrogenic nerve-root injury during… (More)
The present investigation was conducted in an attempt to determine whether selective auditory attention abilities differed between normal subjects and subjects with bothersome tinnitus. Subjects were 37 adults with tinnitus and high-frequency hearing loss (not affecting thresholds at 500 and 1000 Hz) and 15 subjects who were audiometrically and otologically… (More)
We discuss the existence of positive solutions of a nonlinear nth order boundary value problem u (n) + a(t) f (u) = 0, t ∈ (0, 1) u(0) = 0, u (n−2) (0) = 0, αu(η) = u(1), where 0 < η < 1, 0 < αη n−1 < 1. In particular, we establish the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in… (More)
We apply the generalized quasilinearization technique to obtain a monotone sequence of iterates converging quadratically to the unique solution of a general second order nonlinear differential equation with nonlinear nonlocal mixed three-point boundary conditions. The convergence of order n (n ≥ 2) of the sequence of iterates has also been established.
In the original Virtual Element space with degree of accuracy k, projector operators in the H 1-seminorm onto polynomials of degree ≤ k can be easily computed. On the other hand, projections in the L 2 norm are available only on polynomials of degree ≤ k − 2 (directly from the degrees of freedom). Here we present a variant of VEM that allows the exact… (More)
In this paper, we study the existence of solutions for a boundary value problem of differential inclusions of order q ∈ (1, 2] with non-separated boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.