existence

摘要： In this paper, we investigate the existence of positive solutions for a singular third-order three-point boundary value problem with a parameter. By using fixed point index theory, some existence, multiplicity and nonexistence results for positive solutions are derived in terms of different values of λ.

摘要： This work presents the study of a throttling water jet through the opening 2.45 mm in diameter, with a speed of 21.2 meters per second hitting a pressure point distance of 30 mm in a dead impact wall. The impact turns instantly the throttling water jet into the circular flow, which is rotating in a vortical manner around the mixing chamber longitudinal axis with a speed of rotation of 122 revolutions per second (The miniature injector LK26M, Figure 4 Charts 5, Figure 5). With sufficient large air intake openings, the increase of the vortex flow speed, the suction pressure of the circular, vortex flow forestall the static pressure increase in the filling in the chamber circular flow, that is directed to the air intake openings, as a result, water running out of air intake openings is impossible and only air is being sucked in the mixing chamber, the circular flow is accelerated and in a fraction of a second stabilized.

摘要： In this paper, we investigate the existence of positive solutions for the singular fourth-order differential system u(4) = Φu + f (t, u, u”, Φ), 0 t Φ” = μg (t, u, u”), 0 t u (0) = u (1) = u”(0) = u”(1) = 0, Φ (0) = Φ (1) = 0;where μ > 0 is a constant, and the nonlinear terms f, g may be singular with respect to both the time and space variables. The results obtained herein generalize and improve some known results including singular and non-singular cases.

摘要： Recent studies have evidenced that the anatomical structure now known as the myodural bridge(MDB)connects the suboccipital musculature to the cervical spinal dura mater(SDM).In humans,the MDB passes through both the posterior atlanto-occipital and the posterior atlanto-axial interspaces.The existence of the MDB in various mammals,including flying birds(Rock pigeons and Gallus domesticus)has been previously validated.Gentoo penguins are the world's fastest diving birds.The present study was therefore carried out to investigate the existence and characteristics of the MDB in Gentoo penguin,a non-flying,marine bird that can dive.For this study,six Gentoo penguin specimens were dissected to observe the existence and composition of their MDB.

摘要： One could compare the discovery of a new particle to a big shining firework,lighting up the night sky.But sometimes discoveries can be subtle,less flamboyant,and still point to the existence of new particles in an indirect way.

摘要： In this paper, we apply the Adomian decomposition method (ADM) for solving nonlinear system of fractional differential equations (FDEs). The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are discussed. Some applications are solved such as fractional-order rabies model.

摘要： The purpose of this paper is to model ethical consumption behaviour based on price-dependent preferences. We motivate ethical consumption founded on the idea that ethical consumers compete for moral superiority relative to their peers by purchasing more expensive ethical conspicuous goods. An ethical consumer model in which consumers display moral consumption choices by purchasing ethical conspicuous goods is developed. This requires de_ning ethical conspicuous goods, social labels, and formalizing a set of assumptions on price-dependent ethical preferences. We show that an ethical utility function exists without relying on the usual transitivity assumption. We utilise Blashke's Rolling Theorem to show our main result.

摘要： In this article, by using a fixed point theorem, we study following fourth-order three-point BVP: where f ∈ C([0,1]×[0,+∞),[0,+∞)) α ∈ [0,6) and . The main point to emphasize is that although the corresponding Green’s function is changing signs, by applying the fixed point theorem, we can still obtain at least two positive solutions and degreased solutions under certain suitable conditions.

摘要： This paper lays out the morphosyntactic structures of existential,locative and possessive constructions in Amharic.Amharic belongs to South Ethio-Semitic language subfamily.It is natively spoken in the Amhara region and used as the first and the second language for some urban dwellers in the country.It is a working language for the Federal Government of Ethiopia.It serves the same in Gambella,Southern Nations,Nationalities and Peoples’and Benishangul-Gumuz regional states.The Amharic existential,possessive and locative constructions are characterized by using the same existential verb stem all-‘exist’.The verb is defective in its derivation and conjugation.Unlike the prototypical verbs of the language,the existential verb uses a different verb for imperfective and past verb forms.Unlike the regular verbs of the language,the existential verb,which is perfective in form,conveys present tense.It has been observed that indefinite nominals appear as the E(Existent)in existentials and possessives,whereas definite ones appear in locatives.The morphosyntactic features of existentials and locatives are the same in every aspect except the use of definiteness of the E(Existent).The possessives differ from the two constructions in word order and morphological structure of the verb.

摘要： An existence criterion of triple positive solutions to a third-order m-point boundary value problem{v″′(s)+λh(s)f(s,v(s),v′(s))=0,s∈(0,1),v(0)=v″(0)=0,v′(1)=∑m-i=1kiv(ηi),is established by Avery-Peterson fixed point theorem.At the same time,a corresponding example is given to illustrate the result.