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Chaos: Exact, Mixing and Weakly Mixing Maps
Mohammed Nokhas Murad Kaki
Issue:
Volume 4, Issue 2, April 2015
Pages:
39-42
Received:
19 December 2014
Accepted:
30 December 2014
Published:
11 February 2015
Abstract: In this work, I studied a new class of topological λ-type chaos maps, λ-exact chaos and weakly λ-mixing chaos. Relationships with some other type of chaotic maps are given. I will list some relevant properties of λ-type chaotic map. The existence of chaotic behavior in deterministic systems has attracted researchers for many years. In engineering applications such as biological engineering, and chaos control, chaoticity of a topological system is an important subject for investigation. The definitions of λ-type chaos, λ-type exact chaos, λ-type mixing chaos, and weak λ-type mixing chaos are extended to topological spaces. This paper proves that these chaotic properties are all preserved under λr-conjugation. We have the following relationships: λ-type exact chaos⇒ λ-type mixing chaos ⇒ weak λ-type mixing chaos ⇒λ-type chaos.
Abstract: In this work, I studied a new class of topological λ-type chaos maps, λ-exact chaos and weakly λ-mixing chaos. Relationships with some other type of chaotic maps are given. I will list some relevant properties of λ-type chaotic map. The existence of chaotic behavior in deterministic systems has attracted researchers for many years. In engineering a...
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The Automatic Continuity of Linear Operators on Some Semi-Prime Banach Algebra
Issue:
Volume 4, Issue 2, April 2015
Pages:
43-46
Received:
10 January 2015
Accepted:
25 January 2015
Published:
11 February 2015
Abstract: Conditions are given for Banach algebras A and Banach algebras B which insure that every homomorphism T from A into B is automatic continuous. Similar results are obtained for derivations which either map the algebra A into itself.
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Graded Essential Extensions and Graded Injective Modules
Salah El Din S. Hussein,
Essam El Seidy,
H. S. Diab
Issue:
Volume 4, Issue 2, April 2015
Pages:
47-51
Received:
20 January 2015
Accepted:
6 February 2015
Published:
11 February 2015
Abstract: In this paper we establish the relation between graded essential extensions of graded modules and injectivity of such modules. We relate the graded injective hull Egr (M) of a graded module M with the graded essential extensions of M. We round off by establishing necessary and sufficient conditions for indecomposability of graded injective modules in terms of their graded injective hulls.
Abstract: In this paper we establish the relation between graded essential extensions of graded modules and injectivity of such modules. We relate the graded injective hull Egr (M) of a graded module M with the graded essential extensions of M. We round off by establishing necessary and sufficient conditions for indecomposability of graded injective modules ...
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On Application of a New Quasi-Newton Algorithm for Solving Optimal Control Problems
Felix Makanjuola Aderibigbe,
Adejoke O. Dele-Rotimi,
Kayode James Adebayo
Issue:
Volume 4, Issue 2, April 2015
Pages:
52-56
Received:
25 December 2014
Accepted:
24 February 2015
Published:
4 March 2015
Abstract: In this work, we review the construction of the linear operator associated with a class of linear regulator problems subject to the state differential equation. The associated linear operator is then utilized in the derivation of a New Quasi-Newton Method (QNM) for solving this class of optimal control problems. Our results show an improvement over the Classical Quasi-Newton Method.
Abstract: In this work, we review the construction of the linear operator associated with a class of linear regulator problems subject to the state differential equation. The associated linear operator is then utilized in the derivation of a New Quasi-Newton Method (QNM) for solving this class of optimal control problems. Our results show an improvement over...
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Lakshmi - Manoj Generalized Yang-Fourier Transforms to Heat-Conduction in a Semi-Infinite Fractal Bar
Lakshmi Narayan Mishra,
Manoj Sharma,
Vishnu Narayan Mishra
Issue:
Volume 4, Issue 2, April 2015
Pages:
57-61
Received:
11 December 2014
Accepted:
13 December 2014
Published:
24 March 2015
Abstract: In the present era, fractional calculus plays an important role in various fields. Fractional Calculus is a field of mathematic study that grows out of the traditional definitions of the calculus integral and derivative operators in much the same way fractional exponents is an outgrowth of exponents with integer value. Based on the wide applications in engineering and sciences such as physics, mechanics, chemistry, and biology, research on fractional ordinary or partial differential equations and other relative topics is active and extensive around the world. In the past few years, the increase of the subject is witnessed by hundreds of research papers, several monographs, and many international conferences.The purpose of present paper to solve 1-D fractal heat-conduction problem in a fractal semi-infinite bar has been developed by local fractional calculus employing the analytical Manoj Generalized Yang-Fourier transforms method.
Abstract: In the present era, fractional calculus plays an important role in various fields. Fractional Calculus is a field of mathematic study that grows out of the traditional definitions of the calculus integral and derivative operators in much the same way fractional exponents is an outgrowth of exponents with integer value. Based on the wide application...
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Oscillation of Second Order Nonlinear Neutral Differential Equations
Hussain Ali Mohamad,
Intidhar Zamil Mushtt
Issue:
Volume 4, Issue 2, April 2015
Pages:
62-65
Received:
7 March 2015
Accepted:
24 March 2015
Published:
31 March 2015
Abstract: The oscillation criteria are investigated for all solutions of second order nonlinear neutral delay differential equations. Our results extend and improve some results well known in the literature see ( [14] theorem 3.2.1 and theorem 3.2.2 pp.385-388). Some examples are given to illustrate our main results.
