https://repository.uob.edu.ly/handle/123456789/212 2026-10-25T13:33:43Z 2026-10-25T13:33:43Z Zainab, Ali Mousa Mohammed https://repository.uob.edu.ly/handle/123456789/2141 2025-11-23T07:50:52Z 2025-10-16T00:00:00Z

The Expansion Method for Solving Nonlinear Partial Differential Equations Zainab, Ali Mousa Mohammed The -expansion method, for solving nonlinear evolution equations is reviewed and applied to solve selected equations, which have positive integer homogeneous balance number. For the equations with non integer homogeneous balance number, we suggested an approach to write a transform to reduce the homogeneous balance number to a positive integer, and as an application, we apply this approach successfully to find a traveling wave solution to the general KdV equation for . For both cases and with help of Maple tools, we compared our results with the results obtained by other methods. Theses study show that this method is an effective method, and can be used to solve many types of nonlinear evolution equations.

2025-10-16T00:00:00Z د.عبدالله, خليفة سعيد علي البركي https://repository.uob.edu.ly/handle/123456789/2140 2025-08-25T12:14:02Z 2005-01-03T00:00:00Z

THE BEURLING AND CAUCHY TRANSFORM WITH NEW SPACES د.عبدالله, خليفة سعيد علي البركي Let X be a compact plane set. Then R(X) is the uniform algebra of all continuous functions on X which may be uniformly approximated on X by rational functions with poles off X. Some results which contain the Beuring and Cauchy transforms are true for R(X). Our aim in this paper is to change the uniform algebra R(X) with some other new uniform algebras, especially A(X) which is the uniform algebra of all holomorphic functions on the interior of X.

2005-01-03T00:00:00Z د.عبدالله, خليفة سعيد علي البركي https://repository.uob.edu.ly/handle/123456789/2139 2025-08-25T12:09:14Z 2008-03-01T00:00:00Z

Some Results in Bounded Relative Units Uniform د.عبدالله, خليفة سعيد علي البركي In this paper, we shall study bounded relative unit uniform algebras on compact spaces. We look at certain types of extensions of uniform algebras. We prove that under certain conditions some extensions of some uniform algebras have bounded relative units. In particular, we prove that the systems of root extensions with these conditions have bounded relative units. Keywords: Uniform algebras, Systems of root extensions, Normal uniform algebras.

2008-03-01T00:00:00Z د.عبدالله, خليفة سعيد علي البركي https://repository.uob.edu.ly/handle/123456789/2138 2025-08-25T12:03:03Z 2007-03-21T00:00:00Z

ROOT EXTENSIONS OF DITKIN ALGEBRA د.عبدالله, خليفة سعيد علي البركي Let us start with some standard definitions. Definition 1.1. Let S be a non-empty set, and let ƒ be a bounded, complex-valued function on S. For each non-empty set E contained in S, the uniform norm off on E, denoted by IfE, is defined by fle sup{f(x) | :x € E}. Throughout this paper, a compact space X is a compact Hausdorff topological space. Notation. Let X be a compact space. We shall denote by C(X) the algebra of all continuous functions from X into the field of complex numbers C. Definition 1.2. Let A be a subset of C(X). Then A is called separates the points of X if for each x,ye X with xy, there exists fe A with f(x) = f(y). Definition 1.3. Let X be a compact space. A uniform algebra A on X is a closed subalgebra of C(X) which contains the constant functions, and separates the points of X. Definitions 1.4. Let A be a uniform algebra on a compact space X. Let xe X. We define the following ideals in A by setting

2007-03-21T00:00:00Z د.عبدالله, خليفة سعيد علي البركي https://repository.uob.edu.ly/handle/123456789/2137 2025-08-25T11:56:31Z 2007-03-11T00:00:00Z

RESULT ON THE SPACE د.عبدالله, خليفة سعيد علي البركي In this paper, we introduce a special space D(K,r,M,) of infinitely differentiable functions on K. We have proved Ro(K) CD(K,r,M,) if and only if (M) is a non-analytic sequence. We start with some standard definitions. Definition 1. Let K be a non-empty set, and let ƒ be a bounded complex-valued function on K. The uniform norm of ƒ on K, denoted by, is defined by = sup{f(x): xЄK). Definition 2. Let (X, d) be a metric space, and ACX. Let XE X. The distance between x and A, denoted by d (x, A), is defined by D(x, A) = inf {d (x, a) a € A}. Definition 3. Let L be a compact space. Then Ro(K) is the set of restriction functions to K of rational functions with poles off K. Notation. The set of all limits points of K is denoted by K'.

2007-03-11T00:00:00Z د.عبدالله, خليفة سعيد علي البركي https://repository.uob.edu.ly/handle/123456789/2136 2025-08-25T11:35:19Z 2001-05-22T00:00:00Z

PROBLEMS CONCERNING THIN SYSTEMS د.عبدالله, خليفة سعيد علي البركي In this paper, we introduce and discuss the concept of thin system in the area of uniform albegras. Let X bea compact subset of C and let C(X) be the set of all continuous functions from X into C. Then Ro(X) is the set of restrictions to X of rational functions with poles off X and RX) is the closure of Ro(X) in C(X). We have proved that if X is a compact subset of C with int (X) (the interior of X) is an empty set, then Ro(X) is a dense thin system in R(X). Also, we have proved that if A is a uniform algebra on the maximal ideal space A, and S is a thin system in A, then the smallest subalgebra of A containing S is a thin system in A.

2001-05-22T00:00:00Z د.عبدالله, خليفة سعيد علي البركي https://repository.uob.edu.ly/handle/123456789/2135 2025-08-25T11:28:26Z 2012-12-11T00:00:00Z

Fixed points on 2-metric spaces د.عبدالله, خليفة سعيد علي البركي The concept of a 2-metric space was introduced by S. Gabler [3], Recently the 2-metric spaces has been developed extensively in different subjects by others, for example [5], [6] and [7]. Definition 1.1. Let F be a function from a non-empty set X into itself such that Fx = x. Then x in X is called a fixed point of F. Definition 1.2. A 2-metric space is a space X in which for each triple points x, y, z there exists with a real function d defined on XxXxX such that (i) to each pair of points x, y with xy from X, there is zey such that d(x, y, z) 0.

2012-12-11T00:00:00Z د.عبدالله, خليفة سعيد علي البركي https://repository.uob.edu.ly/handle/123456789/2134 2025-08-25T11:23:11Z 1999-08-18T00:00:00Z

An examle of the Normality د.عبدالله, خليفة سعيد علي البركي Throughout this paper, all algebras are considered over the complex field C. We discuss the normality of a normed space D(K,M), where K is a perfect, compact subset of C and M (MA)nzo is a sequence of positive numbers. It is standard that, if int(K) (the interior of K) is nonempty and M is any sequence, then D(K,M) is not normal on K. We give an example where D(K, M) is normal on K. This means that we need to find K.with an empty int(K) and a non-quasi-analytic sequence M.

1999-08-18T00:00:00Z دعبدالله, خليفة سعيد علي البركي https://repository.uob.edu.ly/handle/123456789/2133 2025-08-25T11:15:36Z 2025-06-08T00:00:00Z

Three kinds of Uniform Algebras دعبدالله, خليفة سعيد علي البركي Assume X is a compact space. It is possible to construct some different uniform algebras on X. In this paper, we investigate three kinds of related uniform algebras on compact space X. They are normal, have bounded relative units and strongly regular uniform algebras. We study some results and some connections between the previous by mentioned uniform algebras.

2025-06-08T00:00:00Z دعبدالله, خليفة سعيد علي البركي https://repository.uob.edu.ly/handle/123456789/2132 2025-08-25T11:04:32Z 2025-06-08T00:00:00Z

A Study of properties of Root Extensions دعبدالله, خليفة سعيد علي البركي Let A be a uniform algebra on a compact space X and F be a subset of A. Let A be F - extension of A. Then A is a root extension of A . In this paper, we give a study of properties of root extensions.

2025-06-08T00:00:00Z دعبدالله, خليفة سعيد علي البركي https://repository.uob.edu.ly/handle/123456789/2131 2025-08-25T10:57:00Z 2025-06-08T00:00:00Z

نوعان من الدوال الخطية على جبر بناخ دعبدالله, خليفة سعيد علي البركي في هذا البحث نقدم نوعين من الدوال الخطية على جبر بناخ Banach algebra A الدالة الأولى تسمى الدالة المميزة character mapping و الدالة الثانية تسمى الدالة المقدرة evaluation mapping . سوف نستعرض بعضا من خواص هذه الدوال في مجال جبر البناخ مع التطرق إلى بعض المفاهيم و النتائج الأساسية حول هاتين الدالتين. هدفنا في هذا البحث و تطوير و تنمية بعضا من خواص هذه الدوال. نقدم النوع الأول من الدوال الخطية على جبر بناخ.

2025-06-08T00:00:00Z دعبدالله, خليفة سعيد علي البركي https://repository.uob.edu.ly/handle/123456789/2130 2025-08-25T10:50:09Z 2006-01-01T00:00:00Z

فضاءات للدوال التفاضلية الغير محدوده دعبدالله, خليفة سعيد علي البركي In this paper, we give two sequences of positive numbers (M)=0 which are algebra sequences and logarithmically convex sequences. Also, we give two spaces of infinitely differentiable functions C(M) and E (2,M) which are related to the previous sequences. We give some properties and results concerning these spaces.

2006-01-01T00:00:00Z دعبدالله, خليفة سعيد علي البركي https://repository.uob.edu.ly/handle/123456789/2129 2025-08-25T10:39:36Z 2009-04-01T00:00:00Z

A Result on Fixed Points دعبدالله, خليفة سعيد علي البركي Let T be a function from a non-empty set X into itself such that Tx=x. Then x in X is a fixed point of T. In this paper, we give the generalized of Sehgal Theorem in the area of uniqueness of fixed points in the case of metric spaces.

2009-04-01T00:00:00Z Mamat, Mustafa Bashir, Muatazz Abdolhadi https://repository.uob.edu.ly/handle/123456789/804 2019-12-24T06:51:35Z 2016-11-05T00:00:00Z

Thermal Slip Effect on Heat Transfer Falkner-Skan Boundary Layer Flow over a Moving Wedge Mamat, Mustafa; Bashir, Muatazz Abdolhadi

2016-11-05T00:00:00Z Badi, N. H. Matthewsa, J. N. S. https://repository.uob.edu.ly/handle/123456789/740 2019-12-22T18:17:05Z 2015-04-15T00:00:00Z

Inconsistent treatment estimates from mis-specified logistic regression analyses of randomized trials Badi, N. H.; Matthewsa, J. N. S.

2015-04-15T00:00:00Z Badi, Nuri H. Salem https://repository.uob.edu.ly/handle/123456789/739 2019-12-22T18:07:22Z 2017-06-12T00:00:00Z

Asymptomatic Distribution of Goodness-of-Fit Tests in Logistic Regression Model Badi, Nuri H. Salem

2017-06-12T00:00:00Z Badi, Nuri H. Salem https://repository.uob.edu.ly/handle/123456789/738 2019-12-22T18:02:50Z 2017-05-24T00:00:00Z

Properties of the Maximum Likelihood Estimates and Bias Reduction for Logistic Regression Model Badi, Nuri H. Salem

2017-05-24T00:00:00Z Abdolhadi, Muatazz Bashir, Muatazz Abdolhadi https://repository.uob.edu.ly/handle/123456789/626 2019-12-11T10:55:14Z 2016-11-05T00:00:00Z

Thermal Slip Effect on Heat Transfer Falkner-Skan Boundary Layer Flow over a Moving Wedge Abdolhadi, Muatazz; Bashir, Muatazz Abdolhadi

2016-11-05T00:00:00Z Alhamaly, Eman Ibrahim Din Khan, Mohammad https://repository.uob.edu.ly/handle/123456789/426 2019-12-04T08:47:12Z 2011-01-01T00:00:00Z

Asymptotically Regular Mappings And The Fixed Point Theorems Alhamaly, Eman Ibrahim; Din Khan, Mohammad

2011-01-01T00:00:00Z Ali, Amal Ali, Abdullah K. S. https://repository.uob.edu.ly/handle/123456789/422 2019-12-04T00:33:01Z 2016-01-01T00:00:00Z

Properties of Measure Theory and Lebesgue integration Ali, Amal; Ali, Abdullah K. S.

2016-01-01T00:00:00Z Ali, Wafa Omar Al-Awami, Mohamed https://repository.uob.edu.ly/handle/123456789/414 2019-12-03T23:30:30Z 2012-01-01T00:00:00Z

The Number of Subgroups of a Finite Abelian Group Ali, Wafa Omar; Al-Awami, Mohamed

2012-01-01T00:00:00Z Elsallabi, Wagdi Saad Alburki, Abdullah . K . https://repository.uob.edu.ly/handle/123456789/413 2019-12-03T20:23:59Z 2011-01-01T00:00:00Z

The General Theory of Banach Algebras Elsallabi, Wagdi Saad; Alburki, Abdullah . K .

2011-01-01T00:00:00Z El turki, Taha Guma Alzubaidy, Kahtan H. https://repository.uob.edu.ly/handle/123456789/408 2019-12-03T19:12:20Z 2013-01-01T00:00:00Z

Finite Topological Spaces with Maple El turki, Taha Guma; Alzubaidy, Kahtan H.

2013-01-01T00:00:00Z Almogawab, Sumaia Mohammed Alzubaidy, Kahtan H. https://repository.uob.edu.ly/handle/123456789/401 2019-12-03T08:32:28Z 2015-01-01T00:00:00Z

Operations on Ideals with Maple Almogawab, Sumaia Mohammed; Alzubaidy, Kahtan H.

2015-01-01T00:00:00Z Alhamaly, Eman Ibrahim Din Khan, Mohammad https://repository.uob.edu.ly/handle/123456789/375 2019-12-01T18:56:14Z 2011-01-01T00:00:00Z

Asymptotically Regular Mappings And The Fixed Point Theorems Alhamaly, Eman Ibrahim; Din Khan, Mohammad

2011-01-01T00:00:00Z Ali, Wafa Omar Al-Awami, Mohamed https://repository.uob.edu.ly/handle/123456789/317 2019-11-29T12:16:52Z 2012-01-01T00:00:00Z

The Number of Subgroups of a Finite Abelian Group Ali, Wafa Omar; Al-Awami, Mohamed

2012-01-01T00:00:00Z Elsallabi, Wagdi Saad Alburki, Abdullah . K . https://repository.uob.edu.ly/handle/123456789/273 2019-11-28T21:28:59Z 2010-01-01T00:00:00Z

The General Theory of Banach Algebras Elsallabi, Wagdi Saad; Alburki, Abdullah . K .

2010-01-01T00:00:00Z Ali, Amal Ali, Abdullah K. S. https://repository.uob.edu.ly/handle/123456789/269 2019-11-28T20:57:36Z 2016-01-01T00:00:00Z

Properties of Measure Theory and Lebesgue Integration Ali, Amal; Ali, Abdullah K. S.

2016-01-01T00:00:00Z Almogawab, Sumaia Mohammed Alzubaidy, Kahtan H. https://repository.uob.edu.ly/handle/123456789/217 2019-11-26T14:12:24Z 2015-01-01T00:00:00Z

Operations on Ideals with Maple Almogawab, Sumaia Mohammed; Alzubaidy, Kahtan H.

2015-01-01T00:00:00Z El turki, Taha Guma Alzubaidy, Kahtan H. https://repository.uob.edu.ly/handle/123456789/213 2019-11-26T13:34:19Z 2013-01-01T00:00:00Z

Finite Topological Spaces with Maple El turki, Taha Guma; Alzubaidy, Kahtan H.

2013-01-01T00:00:00Z