A mild and efficient Rh(III)-catalyzed regioselective synthesis of isoquinolones and pyridones has been developed. The protocol uses readily available N-methoxybenzamide or N-methoxymethacrylamide and diazo compounds as starting materials. The process involving tandem C-H activation, cyclization, and condensation steps proceeds under mild conditions, and the corresponding isoquinolone and pyrid...

A convenient CuI/L-proline-catalyzed, two-step one-pot method has been developed for the preparation of indolo[1,2-a]quinazoline derivatives using a sequential Ullmann-type C-C and C-N coupling. This protocol provides an operationally simple and rapid strategy for preparing indolo[1,2-a]quinazoline derivatives and displays good functional group tolerance. All the starting materials are commerci...

Two inverse ill-posed problems are considered. The first problem is an input restoration of a linear system. second one time-dependent coefficients ordinary differential equation. Both reformulated as auxiliary optimal control with regularizing cost functional. For the problem, two models proposed. In model, approximated by output and estimates its derivatives. This model yields approximating l...

Abstract We present several Itô-Wentzell formulae on Wiener spaces for real-valued functional random field of Itô type that depend measure flows. distinguish the full- and marginal-measure flow cases in spirit mean-field games. Derivatives with respect to components are understood sense Lions.

Tetrazoles represent a class of five-membered heterocyclic compounds with polynitrogen electron-rich planar structural features. This special structure makes tetrazole derivatives useful drugs, explosives, and other functional materials with a wide range of applications in many fields of medicine, agriculture, material science, etc. Based on our research works on azoles and other references in ...

This paper deals with topology and shape optimization of an elastic contact problems. The shape optimization problem for elastic contact problem is formulated. Shape as well as topological derivatives formulae of the cost functional are provided using material derivative and asymptotic expansion methods, respectively. These derivatives are employed to formulate necessary optimality condition fo...

Some D-amino acids such as d-tryptophan and D-phenylalanine are well known as naturally-occurring sweeteners. Photoreactive D-phenylalanine derivatives containing trifluoromethyldiazirinyl moiety at 3- or 4-position of phenylalanine, were designed as sweeteners for functional analysis with photoaffinity labeling. The trifluoromethyldiazirinyl D-phenylalanine derivatives were prepared effectivel...

In this paper we study a fuzzy predator-prey model with functional response arctan(ax). The derivatives are approximated using the generalized Hukuhara derivative. To execute numerical simulation, use Runge-Kutta method. results obtained over time for evolution and population presented numerically graphically some conclusions.

The level set method is used for shape optimization of the energy functional for the Signorini problem. The boundary variations technique is used in order to derive the shape gradients of the energy functional. The conical differentiability of solutions with respect to the boundary variations is exploited. The topology modifications during the optimization process are identified by means of an ...

The C-3 phenolic hydroxy group containing morphine derivatives (morphine, oxymorphone, naloxone, naltrexone) are excellent candidates for the synthesis of 3-O-functionalized molecules. Achieving free carboxylic gives opportunity further modification and conjugation that could be used immunization immunoassays. For this purpose ethyl bromo- chloroacetate can as O-alkylating agents. Hydrolyzing p...