http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
ON A DISCUSSION OF NONLINEAR INTEGRAL EQUATION OF TYPE VOLTERRA-FREDHOLM
M. M. EL-Borai,M. A. Abdou,M. M. EL-Kojok 한국산업응용수학회 2006 Journal of the Korean Society for Industrial and A Vol.10 No.2-1
Here, we consider the existence and uniqueness solution of nonlinear integral equation of the second kind of type Volterra-Fredholm. Also, the normality and continuity of the integral operator are discussed. The solution is obtained, and many applications in one, two and three dimensionals are considered.
ON A DISCUSSION OF NONLINEAR INTEGRAL EQUATIONOF TYPE VOLTERRA-HAMMERSTEIN
M. M. EL-Borai,M. A. Abdou,M. M. EL-Kojok 한국수학교육학회 2008 純粹 및 應用數學 Vol.15 No.1
Here, we consider the existence and uniqueness solution of nonlinear integral equation of the second kind of type Volterra-Hammerstein. Also, the nor- mality and continuity of the integral operator are discussed. A numerical method is used to obtain a system of nonlinear integral equations in position. The solution is obtained, and many applications in one, two and three dimensionals are considered.
On the Asymptotic Behaviour of Some Nonlinear Parabolic Systems
Mahmoud M. El-Borai ...et al KYUNGPOOK UNIVERSITY 1997 Kyungpook mathematical journal Vol.37 No.1
We study the existence and uniqueness and asymptotic behaviour of the solutions of the Cauchy problem for some non-linear parabolic systems of the form. ◁수식삽입▷(원문을 참조하세요) x ∈ Rⁿ^(n) , u , f_(i) ∈ R^(υ) , i = 1, 2, 3, where Rⁿ is the n-dimensional Euclidean space and (A_(α), |α|≤ 2m) is a family of square matrices whose elements are suffciently smooth functions on Rⁿ ×[0, ∞). It is supposed that f₁(x, t, 0) = 0 and f₃(x, t, u) ≤Θ(t) for all x ∈ Rⁿ, t ∈ [0, ∞), |u| < M; whereΘ(t) ∈ L₁[0, ∞). The considered problem is solved under a suitable condition on f₂ by using Liapunov function.
E. H. Borai,E. M. El Afifi,A. M. Shahr El-Din 한국화학공학회 2017 Korean Journal of Chemical Engineering Vol.34 No.4
This work is directed for removal of the nondesired species (228Ra, 226Ra, 223Ra, 210Pb, Th(IV) and Fe(III)) in the rare earth chloride (RECl3) liquor before separation of Ln(III). The different factors affecting elimination of radium-isotopes, lead (210Pb), Th(IV) and Fe(III) from the RECl3 liquor, have been investigated and optimized. The results indicated that the activity concentration of radionuclides in RECl3 liquor was above the safe limits required during the separation process of Ln(III). Adjustment of pH 3±0.1 leads to eliminate 14±1% of radionuclides and Th(IV), and 40±3% of Fe(III), while 12±1% of Ln(III) was lost. The developed method shows that more than 95% of the nondesired species was selectively removed when the liquor was eliminated by potassium sulfate or sulfuric acid solutions in presence of Ba/Pb-carrier (1 : 1). About 20-83% of Ln(III) was lost when the non-desired species removed by sodium or ammonium sulfate or potassium chromate solutions. Fe(III) interfered with Ln(III) when radionuclides and Th(IV) were eliminated by 2.6M H2SO4 in presence of Ba/Pb-carrier. Finally, use of 0.23M K2SO4 or 2.6M H2SO4 was efficient to reduce level of 228Ra, 226Ra, 223Ra and 210Pb to the safe limits in viewpoint of radiation protection. In addition, the interfered Th(IV) and Fe(III) were also eliminated efficiently from RECl3 liquor before the chemical processing of Ln(III).