Infinite systems of linear equations and mathematical logic
نویسندگان
چکیده
منابع مشابه
Special Issue on Structured and Infinite Systems of Linear Equations
Special Issue on Structured and Infinite Systems of Linear Equations Patrick Dewilde a , Vadim Olshevsky b, Ali H. Sayed c aDIMES, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands bDepartment of Mathematics and Computer Science, Georgia State University, University Plaza, Atlanta, GA 30303, USA cRm 44-123A Engr. IV Bldg, Department of Electrical Engineering, Univers...
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The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results ob...
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G. Darbo [Rend. Sem. Math. Univ. Padova, 24 (1955) 84--92] used the measure of noncompactness to investigate operators whose properties can be characterized as being intermediate between those of contraction and compact operators. In this paper, we apply the Darbo's fixed point theorem for solving infinite system of linear equations in some sequence spaces.
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The Kolmogorov-Sinai entropy is a far reaching dynamical generalization of Shannon entropy of information systems. This entropy works perfectly for probability measure preserving (p.m.p.) transformations. However, it is not useful when there is no finite invariant measure. There are certain successful extensions of the notion of entropy to infinite measure spaces, or transformations with ...
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In this paper we apply the technique of measures of noncompactness to the theory of infinite system of integral equations in the Fr´echet spaces. Our aim is to provide a few generalization of Tychonoff fixed point theorem and prove the existence of solutions for infinite systems of nonlinear integral equations with help of the technique of measures of noncompactness and a generalization of Tych...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2002
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(01)00537-7