Some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term

In this article, we are interested in studying the asymptotic behavior of fourth-order neutral differential equations. Despite the growing interest in studying the oscillatory behavior of delay differential equations of second-order, fourth-order equations have received less attention. We get more than one criterion to check the oscillation by the generalized Riccati method and the integral average technique. Our results are an extension and complement to some results published in the literature. Examples are given to prove the significance of new theorems.

Symmetry and Its Role in Oscillation of Solutions of Third-Order Differential Equations

Symmetry plays an essential role in determining the correct methods for the oscillatory properties of solutions to differential equations. This paper examines some new oscillation criteria for unbounded solutions of third-order neutral differential equations of the form (r2(ς)((r1(ς)(z′(ς))β1)′)β2)′ + ∑i=1nqi(ς)xβ3(ϕi(ς))=0. New oscillation results are established by using generalized Riccati substitution, an integral average technique in the case of unbounded neutral coefficients. Examples are given to prove the significance of new theorems.

Qualitative Behavior of Unbounded Solutions of Neutral Differential Equations of Third-Order

New oscillatory properties for the oscillation of unbounded solutions to a class of third-order neutral differential equations with several deviating arguments are established. Several oscillation results are established by using generalized Riccati transformation and a integral average technique under the case of unbounded neutral coefficients. Examples are given to prove the significance of new theorems.

Influences of the Pretreatments of Residual Biomass on Gasification Processes: Experimental Devolatilizations Study in a Fluidized Bed

The European research project CLARA (chemical looping gasification for sustainable production of biofuels, G.A. 817841) investigated chemical looping gasification of wheat straw pellets. This work focuses on pretreatments for this residual biomass, i.e., torrefaction and torrefaction-washing. Devolatilizations of individual pellets were performed in a laboratory-scale fluidized bed made of sand, at 700, 800, and 900 °C, to quantify and analyze the syngas released from differently pretreated biomasses; experimental data were assessed by integral-average parameters: gas yield, H2/CO molar ratio, and carbon conversion. A new analysis of devolatilization data was performed, based on information from instantaneous peaks of released syngas, by simple regressions with straight lines. For all biomasses, the increase of devolatilization temperature between 700 and 900 °C enhanced the thermochemical conversion in terms of gas yield, carbon conversion, and H2/CO ratio in the syngas. Regarding pretreatments, the main evidence is the general improvement of syngas quality (i.e., composition) and quantity, compared to those of untreated pellets; only slighter differentiations were observed concerning different pretreatments, mainly thanks to peak quantities, which highlighted an improvement of the H2/CO molar ratio in correlation with increased torrefaction temperature from 250 to 270 °C. The proposed methods emerged as suitable straightforward tools to investigate the behavior of biomasses and the effects of process parameters and biomass nature.

On application of a linear fractional creep and creep rupture strength model in simulation of long-term destruction of typical structural elements in an active medium

Исследуется длительное разрушение оболочки и пластины при ползучести в активной среде в условиях нестационарного сложного напряженного состояния. Учет влияния среды на время до разрушения осуществляется с помощью введения в определяющие и кинетические дробно-линейные соотношения функции от интегрально средней концентрации среды. Проведено сравнение времен до разрушения при использовании скалярного и векторного параметров поврежденности. Определены особенности использования дробно-линейной модели для описания процессов длительного разрушения. The long-term destruction of the shell and plate during creep in the active medium under the conditions of an unsteady complex stress state is investigated. The influence of the medium on the time to fracture is taken into account by introducing a function of the integral average concentration of the medium into the constitutive and kinetic linear-fractional relationships. Comparison of the times to failure using the scalar and vector damage parameters is carried out. The features of using a linear-fractional model to describe long-term fracture processes are determined.

Multi-criteria decision making based on induced generalized interval neutrosophic Choquet integral

In this paper, two new aggregation operators based on Choquet integral, namely the induced generalized interval neutrosophic Choquet integral average operator(IGINCIA) and the induced generalized interval neutrosophic Choquet integral geometric operator(IG-INCIG), are proposed for multi-criteria decision making problems (MCDM). Firstly, the criteria are dependent to each other and the evaluation information of the criteria are expressed by interval neutrosophic numbers. Moreover, two indices which are inspired by the geometrical structure are established to compare the interval neutrosophic numbers. Then, a MCDM method is proposed based on the proposed aggregation operators and ranking indices to cope with MCDM with interactive criteria. Lastly, an investment decision making problem is provided to illustrate the practicality and effectiveness of the proposed approach. The validity and advantages of the proposed method are analyzed by comparing with some existing approaches. By a numerical example in company investment to expand business though five alternatives with considering four criteria, the optimal decision is made.

Systemic Model of Implementation of the Blended Learning Modality in the Social Sciences and Education Careers at the Ecuadorian University

Systemic model of implementation of the blended learning modality in the Social Sciences andEducation careers of the Ecuadorian university, which is argued and constructed from the epistemic referencesof the systemic approach, has the purpose of revealing and socializing the systemic dynamics of the process ofimplementation of the blended learning modality in the Ecuadorian university and its formative logic, conditionedby the essential relationships that occur between the subsystems that comprise it. The methodology used for theconstruction of the model is based on the systemic method and for the analysis of feasibility on the criterion ofusers, who contribute evaluative criteria with scores between good and excellent, which allows to sustain that theproposed model presents a suitable argumentation, a correct structuring, internal logic of cardinal importance thatsatisfies the demands of its implementation in the management of the process of professional formation in thesemipresential modality, guaranteed by an integral fashion of 4 equivalent to good and an integral average of 4.46 equivalent to very good, with a tendency to excellence

The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type

In this paper, the oscillatory of the Kamenev-type linear conformable fractional differential equations in the form of ptyα+1tα+yα+1t+qtyt=0 is studied, where t≥t0 and 0<α≤1. By employing a generalized Riccati transformation technique and integral average method, we obtain some oscillation criteria for the equation. We also give some examples to illustrate the significance of our results.