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Pure and Applied Mathematics Journal

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Volume 4, Issue 2, April 2015

  • 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
    DOI: 10.11648/j.pamj.20150402.11
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    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... Show More
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  • The Automatic Continuity of Linear Operators on Some Semi-Prime Banach Algebra

    Youssef Tidli

    Issue: Volume 4, Issue 2, April 2015
    Pages: 43-46
    Received: 10 January 2015
    Accepted: 25 January 2015
    Published: 11 February 2015
    DOI: 10.11648/j.pamj.20150402.12
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    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
    DOI: 10.11648/j.pamj.20150402.13
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    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 ... Show More
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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
    DOI: 10.11648/j.pamj.20150402.14
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    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... Show More
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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
    DOI: 10.11648/j.pamj.20150402.15
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    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... Show More
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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
    DOI: 10.11648/j.pamj.20150402.16
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    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.
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