For a certain class of functional dierential equations with perturbations conditions are given such that there exist solutions which converge to solutions of the equations without perturbation. Let ∆ x(t) = x(t) − x(t − σ), σ > 0 being a constant, and consider the neutral functional diierential equation (A) d n dt n ∆ m x(t) + f ? t, x ? g(t) is the m-th iterate of ∆ , i.e. ∆ m x(t) = m X i=0 (...

In this paper, we present a new vision for studying ${F}$-open, ${F}$-continuous, and ${F}$-irresolute function in $(L,M)$-fuzzy topological spaces based on the implication operation and $(L,M)$-fuzzy ${F}$-open operator cite{2}. These kinds of functions are generalized with their elementary properties to $(L,M)$-fuzzy topological spaces setting based on graded concepts. Moreover, a systematic ...

A dynamical symmetry is employed to determine the structure of quantum non-Markovian time-local master equation. Such a composed from two components: scalar kinetic coefficients and standard Markovian operator form. The are generally time-dependent incorporate information on kinematics memory effects, while operators manifest symmetry. Specifically, we focus time-translation symmetric dynamics,...

in this paper, we have dened and studied a generalized form of topological vectorspaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of levine. along with other results, it is provedthat every s-topological vector space is generalized homogeneous space. every open subspaceof an s-topological vector space is ...

One of the key ingredients of A. Connes’ noncommutative geometry is a generalized Dirac operator which induces a metric(Connes’ distance) on the state space. We generalize such a Dirac operator devised by A. Dimakis et al , whose Connes’ distance recovers the linear distance on a 1D lattice, into 2D lattice. This Dirac operator being “naturally” defined has the “local eigenvalue property” and i...

In [4], Breaz and Breaz gave the univalence conditions of the integral operator Fα,n of the analytic functions belonging to the classes T2, T2,μ and S(p). The purpose of this paper is to generalize the integral operator Fα,n by means of the generalized Al-Oboudi differential operator and investigate univalence conditions of this generalized integral operator considering the classes Tj , Tj,μ an...

In this article we define some aggregation operators for bipolar-valued hesitant fuzzy sets. These operations include bipolar-valued hesitant fuzzy ordered weighted averaging (BPVHFOWA) operator, bipolar-valued hesitant fuzzy ordered weighted geometric (BPVHFOWG) operator and their generalized forms. We also define hybrid aggregation operators and their generalized forms and solved a decision-m...

We analyze different types of aggregation operators based on the use of probabilities, weighted averages (WAs) and generalized aggregation operators. We present the generalized probabilistic weighted averaging (GPWA) operator. It is a new aggregation operator that unifies the WA and the probability in the same formulation considering the degree of importance that each concept has in the analysi...