STATEMENT OF THE MAIN RESULTSWe consider the differential equation1) where α 0 ∈ {−1, 1}, p : [a, ω[ → ]0, +∞[ (−∞ < a < ω ≤ +∞) is a continuous function, and ϕ : ]0, y 0 ] → ]0, +∞[ is a twice continuously differentiable function satisfying the conditions lim y→+0 ϕ(y) = either 0 or + ∞, lim y→+0 yϕ (y) ϕ (y) = σ ∈ {0, ±∞}. (1.2) By conditions (1.2), lim y→+0 yϕ (y) ϕ(y) = σ + 1, (1.3)and hence the function ϕ(y) admits the representationIf ϕ(y) = |y| σ+1 sgn y (σ = 0), then Eq. (1.1) is called a generalized Emden-Fowler equation. The problem on the asymptotics of all possible types of its nonoscillating solutions was considered in detail in [1][2][3][4][5][6][7].For α 0 = 1, σ > 0, and ω = +∞, sufficient conditions for the existence of solutions of Eq. (1.1) decaying at infinity were obtained in [8,9] for the case in which ϕ(y) is different from |y| σ+1 sgn y and in a sense close to functions of the form (1.4). For any solution y(t) of this kind, two-sided asymptotic estimates for the ratio y(t)/ϕ(y(t)) as t → +∞ were also obtained.A solution y :The aim of the present paper is to establish [under conditions (1.2) and for arbitrary α 0 and ω] not only sufficient but also necessary conditions for the existence of P 0 ω (λ 0 )-solutions of Eq. (1.1) such that λ 0 ∈ {0, 1, ±∞} and find exact asymptotic formulas for y(t)/ϕ(y(t)) and y (t) as t → ω−0.In what follows, we use the auxiliary notation π ω (t) = t for ω = +∞ t − ω for ω < +∞, I(t) = t Aω p(τ )π ω (τ )dτ, Φ(y) = y Y0 dz ϕ(z) , (1.6)

We study the problem of asymptotics of unbounded solutions of differential equations of the form y = α0p(t)ϕ(y), where α0 ∈ {−1, 1}, p: [a, ω[→]0, +∞[, −∞ < a < ω ≤ +∞, is a continuous function, and ϕ : [y0, +∞[→]0, +∞[ is a twice continuously differentiable function close to a power function in a certain sense.Consider the differential equationIt follows from conditions (2) thatThis condition is obviously satisfied by the power function ϕ(y) = y σ+1 . In this case, Eq. (1) is called the generalized Emden-Fowler equation. The asymptotic behavior of its solutions is fairly thoroughly investigated in [1-6] (see also [7, pp. 326-401], Chap. V).In the case where the function ϕ is different from a power function and is close, in a certain sense, to functions with property (3), only particular results on the asymptotic behavior of unbounded solutions of Eq. (1) were obtained in [8]. A solution y of Eq. (1) defined on the interval [t y , ω[⊂ [a, ω[ is called a P ω (λ 0 )-solution if it satisfies the following conditions: lim t↑ω y(t) = +∞, lim t↑ω y (t) = either 0,The problem of asymptotics of P ω (λ 0 )-solutions of Eq. (1) for λ 0 / ∈ {0, 1, ±∞} was studied in [9]. The most complicated for investigation are P ω (λ 0 )-solutions for which λ 0 = 0, 1, ±∞. The present paper is devoted to P ω (1)-solutions of Eq. (1).

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The role of erythropoiesis stimulation in preoperative preparation in the surgical treatment of patients with colorectal cancer. CI "Dnipro city multi-clinical hospital № 4 of the Dnipro regional council", SI "Dnipropetrovsk Medical Academy of the Ministry of Health of Ukraine", Dnipro, Ukraine ABSTRACT. Background. Anemic syndrome, which accompanies the development of pathology in patients with colorectal cancer, can cause serious early postoperative complications. The question of how preoperative preparation activities influence the state of the intestinal structures and the clinical situation in general is relevant. Of particular importance in this situation is the correction of anemic syndrome before surgery, using hematopoietic stimulants. Objective. The purpose of the study is to analyze the dynamics of erythropoiesis and changes in tissue and cell ultrastructure in intraoperative colon biopsy specimens after stimulation of erythropoiesis in preoperative preparation in the surgical treatment of patients with colorectal cancer. Methods. The study of red bone marrow and the wall of the large intestine using transmission electron microscopy. Results. Most patients with colorectal cancer are characterized by the development of signs of ineffective erythropoiesis with a moderate slowdown in the differentiation of erythroblasts and a delay in the release of mature erythrocytes into the systemic circulation. Stimulation of erythropoiesis with the help of epoetin leads to an increase in the functional activity of the central macrophages of the erythropoietic islets of the red bone marrow and the enhancement of their intercellular association with maturing erythroid cells. This is accompanied by the formation of a large number of full-fledged erythrocytes, an increase in the numerical density of cells of the erythroid series and the normalization of their ultrastructure. Conclusion. Stimulation of erythropoiesis with the help of epoetin in the preoperative period causes the inhibition of endothelial dysfunction due to the restriction of dystrophic and destructive changes in endothelial cell organelles, stabilization of their membranes, prevention of arteriole spasm, erythrocyte stasis and erythrocyte phenomena. As a result, the phenomena of infiltration, perivascular and interstitial edema in the composition of the membranes of the intestinal wall are much less pronounced than in the group of patients without preoperative activation of erythropoiesis.