Taking for granted that phonological segments (phonemes, allophones) are not the smallest units in phonology, i.e. that there are smaller primes, this paper compares several proposals for systems of such primes in an attempt to clarify some of the issues that are involved. As such this paper is largely 'theoretical' and meant to stimulate discussion. Firstly, I will focus on the issue of whethe...

Excessive use of the Internet in adolescents is often accompanied by a violation their psychoemotional state, combination with other comorbid psychosomatic disorders and high risk transformation into chronic types pathology, which indicates relevance this problem. The purpose study to conduct comparative analysis features psycho-emotional characteristics teenagers Khakassia different online beh...

We study the following third-order p-Laplacian m-point boundary value problems on time scales: φp uΔ∇ ∇ a t f t, u t 0, t ∈ 0, T T, βu 0 − γuΔ 0 0, u T ∑m−2 i 1 aiu ξi , φp u Δ∇ 0 ∑m−2 i 1 biφp u Δ∇ ξi , where φp s is p-Laplacian operator, that is, φp s |s|p−2s, p > 1, φ−1 p φq, 1/p 1/q 1, 0 < ξ1 < · · · < ξm−2 < ρ T . We obtain the existence of positive solutions by using fixed-point theorem i...

a t f t, u t 0, t ∈ 0, 1 T , u 0 0, u 1 ∑m−2 i 1 aiu ξi , where T is a time scale, φp s |s|p−2s, p > 1, some new results are obtained for the existence of at least one, two, and three positive solution/solutions of the above problem by using Krasnosel′skll′s fixed point theorem, new fixed point theorem due to Avery and Henderson, as well as Leggett-Williams fixed point theorem. This is probably...

Bymeans of the fixed point index theory of strict-set contraction operator, we study the existence of positive solutions for the multipoint singular boundary value problem −1 n−ku n t f t, u t , 0 < t < 1, n ≥ 2, 1 ≤ k ≤ n−1, u 0 ∑m−2 i 1 aiu ξi , u i 0 u j 1 θ, 1 ≤ i ≤ k−1, 0 ≤ j ≤ n−k−1 in a real Banach space E, where θ is the zero element of E, 0 < ξ1 < ξ2 < · · · < ξm−2 < 1, ai ∈ 0, ∞ , i 1...

In this paper we derive L (QT )-estimates for the rst order derivatives of solutions to the following parabolic equation ut @ @xi (aij(x; t)uxj + aiu) + biuxi + cu = @ @xi fi + f0; where faij(x; t)g are assumed to be measurable and satis ed the ellipticity condition. The main idea is based on De Giorgi-Nash's estimates and Moser's iteration technique. These estimates are very useful in study of...

We consider the multi-point discrete boundary value problem with one-dimensional p-Laplacian operator Δ φp Δu t − 1 q t f t, u t ,Δu t 0, t ∈ {1, . . . , n − 1} subject to the boundary conditions: u 0 0, u n ∑m−2 i 1 aiu ξi , where φp s |s|p−2s, p > 1, ξi ∈ {2, . . . , n − 2} with 1 < ξ1 < · · · < ξm−2 < n − 1 and ai ∈ 0, 1 , 0 < ∑m−2 i 1 ai < 1. Using a new fixed point theorem due to Avery and...

Nesreen Abu Yousif Hamid1, Hala kamal Ali Mohamed2,3,4* and Mohammed Elmujtba Adam Essa5,6* Author Affiliations 1Health Professions Education, Education Development Research Centre Faculty of Medicine, the international university Africa, Sudan 2Departments Microbiology, African International University (AIU), 3Department clinical Immunology, Medical Specialization board (SMSB), 4Faculty medici...