Abstract In this paper, we investigate shape inversion algorithms based on the computation of iterated topological derivatives for detection multiple particles coated by a complex surface impedance in two- and three-dimensional acoustic media. New closed-form formulae derivative misfit functional are derived when an approximate set unknown has already been recovered. Proofs rely followed asympt...

We prove the Existential Closedness conjecture for differential equation of j j -function and its derivatives. It states that in a differentia...

In this paper we present an appropriate singular, zero-sum, linear-quadratic differential game. One of the main features game is that weight matrix minimizer’s control cost in functional singular. Due to singularity, cannot be solved either by applying Isaacs MinMax principle, or Bellman–Isaacs equation approach. As application, introduced interception with regularized and developed dual repres...

We investigate the functions $F:\mathbb R\to \mathbb R$ which are $C^\infty $ solutions of Abel functional equation $F(e^x)= F(x)+1$. In particular, we determine asymptotic behaviour derivatives and show that no solution can have $F’$ compl

Accurate quantum chemical computations based on density functional theory (DFT) were performed on the series of 2-(4-(naphthalen-2-yl)-1,2,3-thiadiazol-5-ylthio)-N-acetamide (TTA) derivatives. The local reactivity of the acetamide derivatives as anti-HIV drugs were studied in terms of Fukui functions in the framework of DFT. The results based on the basis set superposition error (BSSE) correcti...