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In this paper we introduce Levinson means of Cauchy’s type. We show that these means are monotonic.

In this study, nonlocal nonlinear instability and the vibration of a double carbon nanotube (CNT) system have been investigated. The Visco-Pasternak model is used to simulate the elastic medium between nanotubes, on which the effect of the spring, shear and damping of the elastic medium is considered. Both of the CNTs convey a viscose fluid and a uniform longitudinal magnetic field is applied t...

pontryagin's principle is used to study the shape of the supersonic part of the nozzle of a carbon dioxide gas-dynamic laser whose gain is maximal. the exact shape is obtained for the uncoupled approximation of anderson's bimodal model. in this case, if sharp corners are allowed, the ceiling of the supersonic part consists of a slant rectangular sheet followed by a horizontal one; oth...

Dhanunjaya Lakkireddy, MD,* Yeruva Madhu Reddy, MD,* Luigi Di Biase, MD, PHD,†‡§ Subba Reddy Vanga, MD,* Pasquale Santangeli, MD,† Vijay Swarup, MD, Rhea Pimentel, MD,* Moussa C. Mansour, MD,¶ Andre D’Avila, MD, PHD,# Javier E. Sanchez, MD,† J. David Burkhardt, MD,† Fadi Chalhoub, MD,¶ Prasant Mohanty, MBBS, MPH,† James Coffey, MD,# Naushad Shaik, MD,** George Monir, MD,†† Vivek Y. Reddy, MD,# ...

In this paper two classical theorems by Levinson and Marchenko for the inverse problem of the Schrödinger equation on a compact interval are extended to finite trees. Specifically, (1) the Dirichlet eigenvalues and the Neumann data of the eigenfunctions determine the potential uniquely (a Levinson-type result) and (2) the Dirichlet eigenvalues and a set of generalized norming constants determin...