Segmental resection and end-to-end anastomosis is the treatment of choice for patients suffering from tracheal stenosis for whom conservative management is not planned. A complication of this procedure is tension-induced anastomotic failure. To prevent this complication, maintaining the neck in full flexion by means of a suture between the chin and upper chest is a traditional approach. We have...

In this paper, we consider a particular class of integral equations of the fourth kind and show that tractability and differentiability index of the given system are 3. Tractability and dierentiability index are introduced based on the-smoothing property of a Volterra integral operator and index reduction procedure, respectively. Using the notion of index, we give sucient conditions for the exi...

An efficient and simple one-pot approach for the synthesis of 3,4-dihydropyrimidin-2-(1H)-one derivatives using antimony trichloride (SbCl3) as a mild catalyst by means of three-component Biginelli reaction between β-keto esters, aldehyde derivatives and urea/thiourea under thermal and solvent-free conditions with excellent yields and short reaction times is reported. This m...

We introduce a procedural model of risky choice in which an individual is endowed with a core preference relation that may be highly incomplete. She can, however, derive further rankings of alternatives from her core preferences by means of a procedure based on the independence axiom. We find that the preferences that are generated from an initial set of rankings according to this procedure can...

Pointing out that Λ-fractional analysis is the unique fractional calculus theory including mathematically acceptable derivatives, variational for established. Since a non-local procedure, global extremals are only accepted. That means should satisfy not Euler–Lagrange equation but also additional Weierstrass-Erdmann corner conditions. Hence stability criteria introduced. The proposed procedure ...

We consider planar vector fields depending on a real parameter. It is assumed that this vector field has a family of limit cycles which can be described by means of the limit cycles function l. We prove a relationship between the multiplicity of a limit cycle of this family and the order of a zero of the limit cycles function. Moreover, we present a procedure to approximate l(x), which is based...