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Mean Square Exponential Stability of Semi-Linear Stochastic Perturbed Differential Equation Via Lyapunov Function Approach

    In this work, a class of stochastically perturbed differential systems with standard Brownian motion of ordinary unperturbed differential system is considered and studied. The necessary conditions for the existence of a unique solution of the stochastic perturbed semi-linear system of differential equations are suggested and supported by concluding remarks. Some theoretical results concerning the mean square exponential stability of the nominal unperturbed deterministic differential system and its equivalent stochastically perturbed system with the deterministic and stochastic process as a random noise have been stated and proved. The proofs of the obtained results are based on using the stochastic quadratic Lyapunov function method. Form an application point of view of the proposed approach, an illustrative example is considered and implemented.

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Publication Date
Wed May 01 2019
Journal Name
Materials Science And Engineering
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Publication Date
Wed Apr 01 2020
Journal Name
Journal Of Construction Engineering And Management
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Publication Date
Sun Mar 04 2018
Journal Name
Baghdad Science Journal
Effect of Ochratoxin-A on Mouse Embryos

This study sought to determine malformation caused by Ochratoxin-A (OTA) on mouse embryos. Twenty adult female white Swiss mice (mus msculus) were divided into four groups, with five females per group, and with one male placed with two females in a cage. Avaginal plug was observed in the early morning and the day of mating was considered as day of pregnancy followed by the first day of pregnancy. Three sub lethal concentrations of OTA were applied to the respective groups (other than the control), 1mg/kg, 2mg/kg and 4mg/kg. The animals were given 0.1 ml per 10 gm body weight per concentration of OTA once a day during days 7-14 of pregnancy. The control group animals were given distilled water. The pregnant mice were dissected, and the embry

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Publication Date
Mon Apr 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
On intuitionistic Fuzzy Asly Ideal of Ring

     In this paper we tend to describe the notions of intuitionistic fuzzy asly ideal of ring indicated by (I. F.ASLY) ideal and, we will explore some properties and connections about this concept.

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Publication Date
Tue Jul 01 2014
Journal Name
Sage Open
Individual Mobility and the Sense of “Deadlock”

Individual mobility is an outcome of the rapid changes in life; it is revealed in particular literary works within the end of the 19th century. Mobility is clearer in modern time as the individual has become physically freer in his movement. But the individual’s freedom is often conditioned by restrictions. Usually, change stimulates individuals to obtain new structure of feeling; the individual mocks or rages against institutions, or he would comply, suffering rapid personal deterioration as he faces effective stability or institutions. There is a continuous sense of “deadlock.” Sylvia Plath’s novel reflects the depression of an intellectual young woman who fails to find her right path muddled by an inconsistent, confusing

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Publication Date
Wed Nov 01 2017
Journal Name
Journal Of Engineering
Facters affected trends of Contemporary Mosques Architecture

Recently new trends of mosques’ architecture have appeared. These trends differed from those of traditional ones in charictaristics which include two and three dimentional level. The traditional mosques' architecture are affected by several factors, so the research problem is (lack of knoweledge about factors forming traditional mosques' architecture and its effect on contemporary trends of mosques' architecture).The hypotheses of research is (the functional, aesthetic and symbolic religious factors of style are the most active factors in forming contemporary trends of mosques' architecture than religious and environmental factor).The research conclusion is that the symbolic functional factor is most effective factor i

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Publication Date
Fri Jun 29 2018
Journal Name
Journal Of The College Of Education For Women
Role of Christian Wives in Elijahian Policy

Role of Christian Wives in Elijahian Policy

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Publication Date
Sun Dec 31 2000
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
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Publication Date
Tue Nov 30 2021
Journal Name
Iraqi Journal Of Science
The Dual Notion of St-Polyform Modules

The concept of St-Polyform modules, was introduced and studied by Ahmed in [1], where a module M is called St-polyform, if for every submodule N of M and for any homomorphism 𝑓:N M; ker𝑓 is St-closed submodule in N. The novelty of this paper is to dualize this class of modules, the authors call it CSt-polyform modules, and according to this dualizations, some results which appeared in [1] are dualized for example we prove that in the class of hollow modules, every CSt-polyform module is coquasi-Dedekind. In addition, several important properties of CSt-polyform module are established, and other characterization of CSt-polyform is given. Moreover, many relationships of CSt-polyform modules with other related concepts are

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Publication Date
Sun Jul 01 2007
Journal Name
Journal Of The Faculty Of Medicine Baghdad
Antiphospholipid Syndrome, Review of 24 Iraqi patients

Background: Antiphospholipid syndrome (APS) is a disorder in which vascular thrombosis and / or recurrent pregnancy losses occur in a patient who has laboratory evidence of antibodies against phospholipids or phospholipids binding protein cofactor. Usually the patient presents at an age between 35- 45 years, with equal male to female ratio. Mostly they present with thrombosis or pregnancy complication. A quarter of the patients have thrombocytopenia and about one fifth have hemolytic anemia. The diagnosis rests on the criteria set as the Revised classification criteria for the Antiphospholipid syndrome
Patients and Methods; During the period from 1st Jan. 2002 until the 1st Jan. 2006,24 patients who met&n

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