As we know one of the most important equations which have many applications in various areas physics, mathematics, and financial markets, is Sturm–Liouville equation. In this paper, by using α-ψ-contraction technique fixed point theory employing some functional inequalities, study existence solutions partial fractional hybrid case generalized Sturm–Liouville-Langevin under boundary value condit...

We explore the possibility of a logic where a conclusion substantially improves over its premise(s): Specifically, we intend to rule out inference steps such that the premise conveys more information, in a simpler form, than the conclusion does. In fact, most reasoning formalisms, among them classical logic, come with means for generating disjunctive or conditional information in a fairly arbit...

The decay Z → Q+ ll, where Q is a J = 1 quarkonium state, has a very clean final state, which should make it easy to detect. The branching ratio of this mode is greater than 10 for ρ, φ, and ψ, indicating that these processes may be detectable at LEP. Well over one million Z decay events have been accumulated at LEP, and further improvements are expected. This makes it possible to investigate r...

We summarize recent calculations concerning the evolution kernels of the two-particle B-meson distribution amplitudes φ + and φ − taking into account three-particle contributions, as well as the evolution kernel of the combination of three-particle distribution amplitudes Ψ A − Ψ V. We exploit these results to confirm constraints on φ + and φ − derived from the light-quark equation of motion.

Using a previous result by Gali and El-Saify (1983) and the theory of Kotarski (1989), and Lions (1971), we formulate the boundary control problem for a system governed by Neumann problem involving selfadjoint elliptic operator of 2 th order with an infinite number of variables. The inequalities which characterize the optimal control in terms of the adjoint system are obtained, it is studied in...

In the year 2014, Almeida et al. introduced a new class of mappings, namely, contractions Geraghty type. Additionally, in 2021, Beg concept generalized F-proximal contraction first kind and second kind, respectively. After developing these concepts, authors mainly studied best proximity points for classes mappings. this short note, we prove that problem existence said proximal is equivalent to ...

We can write the polynomial solution of the second order linear differential equation of hypergeometric-type φ(x)y + ψ(x)y + λy = 0, where φ and ψ are polynomials, deg φ ≤ 2, degψ = 1 and λ is a constant, among others, by using the Rodrigues operator Rk(φ,u) (see [3]) where u is certain linear operator which satisfies the distributional equation

The paper is in essence a survey of categories having φ-weighted colimits for all the weights φ in some class Φ. We introduce the class Φ of Φ-flat weights which are those ψ for which ψ-colimits commute in the base V with limits having weights in Φ; and the class Φ− of Φ-atomic weights, which are those ψ for which ψ-limits commute in the base V with colimits having weights in Φ. We show that bo...

This paper is concerned with formal solutions to the lottery paradox on which high probability defeasibly warrants acceptance. It considers some recently proposed solutions of this type and presents an argument showing that these solutions are trivial in that they boil down to the claim that perfect probability is sufficient for rational acceptability. The argument is then generalized, showing ...