and Applied Analysis 3 Motivated by 14, 15 , here we study the existence of AL-solutions for 1.1 . The approach is completely different from the one used in 15 , in which an iteration process, jointly with a comparison with the linear equation y 4 q t y 2 0, is employed. Our tools are based on a topological method, certain integral inequalities, and some auxiliary functions. In particular, for ...

We obtain sufficient conditions for oscillation of all solutions of the neutral impulsive difference equation with continuous variable Δτ(y(t) +P(t)y(t−mτ)) +Q(t)y(t− lτ)= 0, t ≥ t0− τ, t = tk, y(tk + τ)− y(tk)= bk y(tk), k ∈N(1), where Δτ denotes the forward difference operator, that is, Δτz(t)= z(t+ τ)− z(t), P(t)∈ C([t0− τ,∞),R ),Q(t)∈ C([t0− τ,∞),(0,∞)),m, l are positive integers, τ > 0 and...

where u and p denote the unknown velocity and pressure of incompressible fluid respectively. In this paper, we estimate the upper bound of blow up rate for the Navier-Stokes equations. Main Theorem. There is δ > 0 such that if ‖u0‖L2(R3) ≤ δ, and if u is a LerayHopf solution to the problem (1.1) and blow up at t = T , then for any small ǫ > 0, there is t0 ∈ (0, T ), such that (1.2) ‖u(t)‖L∞(R3)...

This study aims to determine the effect of adding melon (Cucumis melo L.) juice Lactated Ringer’s-egg yolk extender on intact plasma membrane (IPM) and morphological abnormalities native rooster spermatozoa. Five ejaculate each from two roosters (Gallus gallus domesticus) were divided into four equal volumes. Ejaculate was extended 1:10 (v/v) in Ringer's-egg without or with addition 2, 4, 8% fl...

OBJECTIVES Nonosmotic antidiuretic hormone (ADH) activity can cause severe hyponatremia during involuntary fluid administration. We looked for evidence of this before and during intravenous (IV) fluid administration in children treated for gastroenteritis. METHODOLOGY In this prospective observational study, plasma ADH, electrolytes, osmolality, and glucose were measured in 52 subjects before...

and Applied Analysis 3 input signal v t v1 t , v2 t , . . . , vq t T of the pulse-width sampler satisfy the following dynamic relation: ui t ⎧ ⎨ ⎩ signαni , nT0 ≤ t < n |αni | T0, i 1, 2, . . . , q; 0, n |αni | T0 ≤ t < n 1 T0, n 0, 1, . . . , 1.4 αni ⎧ ⎨ ⎩ vi nT0 , |vi nT0 | ≤ 1, i 1, 2, . . . , q; signvi nT0 , |vi nT0 | ≥ 1, n 0, 1, . . . , 1.5 where T0 is called the sampling period of the pu...

The conducted research was done in Grda rasha field (Salahaddin University) for one month to compare the impacts of Alcea kurdica powder, Rifaxmine, and Ranitidine as anti-lesion immune-strengthening agents on stress-induced quails which are affecting their growth rate severe cases causing gizzard erosion deep intestinal lesions. To do that, 75 (12 weeks old) were grouped into six treatments wi...

Definition 1.1 T is small if for all n < ω, |Sn(∅)| ≤ ω. Remark 1.2 If T is small, then there is a countable L0 ⊆ L such that for every φ(x) ∈ L there is some φ′(x) ∈ L0 such that in T , φ(x) ≡ φ′(x). Hence, T is a definitional extension of the countable theory T0 = T L0. Proof: See Remark 14.25 in [4]. With respect to the second assertion, consider some n-ary relation symbol R ∈ LrL0. There is...

REPLY: we have reported recently that 1) mice fed a diet rich in saturated fat and sugar (HFS), irrespective of whether they are obesity prone or resistant, have an overestimated rate of CO2 production (rCO2) when calculated by the doubly labeled water (DLW) method compared with actual gas exchange using indirect calorimetry (IC) equipment and 2) a two-pool model approach, depending on the timi...