In this paper, we study the nonlinear boundary value problem consisting of the equation y′′ + w(t) f (y) = 0 on [a,b] and two multi-point boundary conditions. We establish the existence of various nodal solutions of this problem by matching the solutions of two boundary value problems, each of which involves one separated boundary condition and one multi-point boundary condition, at some point ...

In this study, inverse nodal problem is solved for the p-Laplacian operator with two potential functions. We present some asymptotic formulas which have been proved in [17,18] for the eigenvalues, nodal points and nodal lengths, provided that a potential function is unknown. Then, using the nodal points we reconstruct the potential function and its derivatives. We also introduce a solution of i...

The classical theorem of general projection for surfaces says that a general projection in P of a smooth complex projective surface S of P is a surface F with ordinary singularities i.e. its singular locus is either empty or is a curve γ such that (i) γ is either non singular or has at most a finite number of ordinary triple points; (ii) every smooth point of γ is either a nodal point or a pinc...

We investigate the phenomenon of the diffraction of charged particles by thin material targets using the method of the de Broglie-Bohm quantum trajectories. The particle wave function can be modeled as a sum of two terms ψ = ψingoing + ψoutgoing. A thin separator exists between the domains of prevalence of the ingoing and outgoing wavefunction terms. The structure of the quantum-mechanical curr...

In all vertebrates, invariant left/right (L/R) positioning and organization of the internal viscera is controlled by a conserved pathway. Nodal, a member of the TGFbeta superfamily is a critical upstream component responsible for initiating L/R axis determination. Asymmetric Nodal expression in the node preceeds and foreshadows morphological L/R asymmetry. Here we address the mechanism of Nodal...

Spontaneous A-V nodal rhythm was observed in 23 isolated, perfused rabbit hearts during electrophysiologic studies of A-V transmission. In 19 of the 23, the earliest point of activation was determined by recording transmembrane potentials from numerous A-V junctional fibers. Most commonly (15 hearts), the earliest depolarization was found in a specific area of the A-V node near the point where ...

In contrast to a complex feature of antinodal state, suffering from competing orders, the pairing gap of cuprates is obtained in the nodal region, which therefore holds the key to the superconducting mechanism. One of the biggest question is whether the point nodal state as a hallmark of d-wave pairing collapses at Tc like the BCS-type superconductors, or it instead survives above Tc turning in...

We study the nonlinear boundary value problem consisting of the equation y+w(t)f(y) = 0 on [a, b] and a multi-point boundary condition. By relating it to the eigenvalues of a linear Sturm-Liouville problem with a twopoint separated boundary condition, we obtain results on the existence and nonexistence of nodal solutions of this problem. We also discuss the changes of the existence of different...

BACKGROUND AND PURPOSE Criteria for detection of persistent nodal metastases in treated oropharyngeal tumors are sensitive but nonspecific, leading to unnecessary nodal dissections. Developing specific imaging criteria for persistent nodal metastases could improve diagnosis while decreasing patient morbidity. MATERIALS AND METHODS Patients with oropharyngeal squamous cell carcinoma with nodal...

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t In both the real variable and Complex Variable Boundary Element Methods (CVBEM), nodal points are typically ...