The Experts below are selected from a list of 948 Experts worldwide ranked by ideXlab platform
Seung Jun Chang - One of the best experts on this subject based on the ideXlab platform.
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a Fubini Theorem for integral transforms and convolution products
International Journal of Mathematics, 2013Co-Authors: Hyun Sook Chung, David Skoug, Seung Jun ChangAbstract:In this paper we establish Fubini Theorems for integral transforms and convolution products for functionals on function space.
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a Fubini Theorem for generalized analytic feynman integral on function space
Bulletin of The Korean Mathematical Society, 2013Co-Authors: Ilyong Lee, Jae Gil Choi, Seung Jun ChangAbstract:In this paper we establish a Fubini Theorem for generalized analytic Feynman integral and L1 generalized analytic Fourier-Feynman transform for the functional of the form F(x) = f(h�1,xi,...,hm,xi), where f�1,...,�mg is an orthonormal set of functions from L2 (0,T). We then obtain several generalized analytic Feynman integration formulas involving generalized analytic Fourier-Feynman transforms.
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a Fubini Theorem for generalized analytic feynman integrals and fourier feynman transforms on function space
Bulletin of The Korean Mathematical Society, 2003Co-Authors: Seung Jun Chang, Ilyong LeeAbstract:In this paper we use a generalized Brownian motion process to define a generalized analytic Feynman integral. We then establish a Fubini Theorem for the function space integral and generalized analytic Feynman integral of a functional F belonging to Banach algebra and we proceed to obtain several integration formulas. Finally, we use this Fubini Theorem to obtain several Feynman integration formulas involving analytic generalized Fourier-Feynman transforms. These results subsume similar known results obtained by Huffman, Skoug and Storvick for the standard Wiener process.
Paul. Anaetodike Oraekie - One of the best experts on this subject based on the ideXlab platform.
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Computable Criterions for an Optimal Control of Fractional Integrodifferential Systems in Banach Spaces with Distributed Delays in The Control
2018Co-Authors: Paul. Anaetodike OraekieAbstract:In this work,Fractional Integrodifferential Systems in Banach Spaces withnbsp Distributed Delays in the Control of the form is presented for investigation of existence and form ofnbsp an optimal control of thenbsp system .Use is made of the Unsymmetric Fubini Theorem to establish the exactnbsp mild solution of the system.The set functions upon which our results hinged are extracted from the mild solution.The concept of the game of pursuit and that of the Signum function are also used to establish results.The main result is built on the maximization of a set function,a technique drawn from the calculus of variation.Necessary and sufficient conditions for existence and form of control for the system are established.
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Form of Optimal Control of Nonlinear Infinitely Space of Neutral Functional Differential Systems with Distributed Delays in the Control
American academic & scholarly research journal, 2017Co-Authors: Paul. Anaetodike OraekieAbstract:In this work, a Nonlinear Infinitely Space of Neutral Functional Differential Systems with Distributed Delays in the Control is presented for controllability analysis .We linearize the system (1.1) and obtain an expression for the solution of the system using the Unsymmetric Fubini Theorem as in the paper of J.Klamka (1996) . The set functions – reachable set, attainable set, target set upon which our studies hinged were extracted. We derived the form of the optimal control of the system 1.1) and expressed same using the definition of the signum function.
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RELATIVE CONTROLLABILITY OF NEUTRAL FUNCTIONAL INTEGRODIFFERENTIAL SYSTEMS IN ABSTRACT SPACE WITH DISTRIBUTED DELAYS IN THE CONTROL
American academic & scholarly research journal, 2015Co-Authors: Paul. Anaetodike OraekieAbstract:In this paper, Abstract Neutral Functional Integrodifferential System with Distributed Delays in the control was presented for relative controllability analysis. We used variation of parameters to obtain the solution of our system of interest as an integral equation. The integral equation contains the values of the control .The values of the control u(t) for enter into the definition of the initial complete state. To separate them we applied the Unsymmetric Fubini Theorem and the integration is in the Lebesque-Stielties sense. The set functions (controllability grammian, reachable set, attainable set, target set) upon which our study hinges were extracted and thus established that the system is relatively controllable. However, necessary and sufficient conditions for the relative controllability of the system were stated and established/proved.
David Storvick - One of the best experts on this subject based on the ideXlab platform.
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integration formulas involving fourier feynman transforms via a Fubini Theorem
Journal of The Korean Mathematical Society, 2001Co-Authors: Timothy Huffman, David Skoug, David StorvickAbstract:In this paper we use a general Fubini Theorem established in [13] to obtain several Feynman integration formulas involving analytic Fourier-Feynman transforms. Included in these formulas is a general Parseval’s relation. 1. Introduction and preliminaries Let C0[0,T ] denote one-parameter Wiener space, that is the space of R-valued continuous functions x(t) on [0,T ] with x(0) = 0. LetM denote the class of all Wiener measurable subsets of C0[0,T ] and let m denote Wiener measure. (C0[0,T ],M,m) is a complete measure space and we denote the Wiener integral of a Wiener integrable functional F by Z
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a Fubini Theorem for analytic feynman integrals with applications
Journal of The Korean Mathematical Society, 2001Co-Authors: Timothy Huffman, David Skoug, David StorvickAbstract:In this paper we establish a Fubini Theorem for various analytic Wiener and Feynman integrals. We then proceed to obtain several integration formulas as corollaries.
David Skoug - One of the best experts on this subject based on the ideXlab platform.
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a Fubini Theorem for integral transforms and convolution products
International Journal of Mathematics, 2013Co-Authors: Hyun Sook Chung, David Skoug, Seung Jun ChangAbstract:In this paper we establish Fubini Theorems for integral transforms and convolution products for functionals on function space.
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integration formulas involving fourier feynman transforms via a Fubini Theorem
Journal of The Korean Mathematical Society, 2001Co-Authors: Timothy Huffman, David Skoug, David StorvickAbstract:In this paper we use a general Fubini Theorem established in [13] to obtain several Feynman integration formulas involving analytic Fourier-Feynman transforms. Included in these formulas is a general Parseval’s relation. 1. Introduction and preliminaries Let C0[0,T ] denote one-parameter Wiener space, that is the space of R-valued continuous functions x(t) on [0,T ] with x(0) = 0. LetM denote the class of all Wiener measurable subsets of C0[0,T ] and let m denote Wiener measure. (C0[0,T ],M,m) is a complete measure space and we denote the Wiener integral of a Wiener integrable functional F by Z
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a Fubini Theorem for analytic feynman integrals with applications
Journal of The Korean Mathematical Society, 2001Co-Authors: Timothy Huffman, David Skoug, David StorvickAbstract:In this paper we establish a Fubini Theorem for various analytic Wiener and Feynman integrals. We then proceed to obtain several integration formulas as corollaries.
Ilyong Lee - One of the best experts on this subject based on the ideXlab platform.
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a Fubini Theorem for generalized analytic feynman integral on function space
Bulletin of The Korean Mathematical Society, 2013Co-Authors: Ilyong Lee, Jae Gil Choi, Seung Jun ChangAbstract:In this paper we establish a Fubini Theorem for generalized analytic Feynman integral and L1 generalized analytic Fourier-Feynman transform for the functional of the form F(x) = f(h�1,xi,...,hm,xi), where f�1,...,�mg is an orthonormal set of functions from L2 (0,T). We then obtain several generalized analytic Feynman integration formulas involving generalized analytic Fourier-Feynman transforms.
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a Fubini Theorem for generalized analytic feynman integrals and fourier feynman transforms on function space
Bulletin of The Korean Mathematical Society, 2003Co-Authors: Seung Jun Chang, Ilyong LeeAbstract:In this paper we use a generalized Brownian motion process to define a generalized analytic Feynman integral. We then establish a Fubini Theorem for the function space integral and generalized analytic Feynman integral of a functional F belonging to Banach algebra and we proceed to obtain several integration formulas. Finally, we use this Fubini Theorem to obtain several Feynman integration formulas involving analytic generalized Fourier-Feynman transforms. These results subsume similar known results obtained by Huffman, Skoug and Storvick for the standard Wiener process.
