Results 41 to 50 of about 1,450,703 (382)
New techniques for solving some matrix and matrix differential equations
Ain Shams Engineering Journal, 2015 Matrix and matrix differential equations play an important role in system theory, control theory, stability theory of differential equations, communication systems and many other fields.
Zeyad Abdel Aziz Al-Zhour
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Quantum Derivation of the Bloch Equations Excluding Relaxation
Concepts in Magnetic Resonance: Part A, Bridging Education and Research, 2022 The equation of motion of the density matrix of an ensemble of identical spin-1/2 nuclei subject to a rotating-frame radiofrequency field and Zeeman frequency offset is derived from the Schrodinger equation and shown to be equivalent to the magnetization
Eric R. Johnston
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H2/H∞ output information-based disturbance attenuation for differential linear repetitive processes
, 2011 Repetitive processes propagate information in two independent directions where the duration of one is finite. They pose control problems that cannot be solved by application of results for other classes of 2D systems.
Barton +12 more
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Advances in Mathematical Physics, 2016 An operational matrix technique is proposed to solve variable order fractional differential-integral equation based on the second kind of Chebyshev polynomials in this paper. The differential operational matrix and integral operational matrix are derived
Jianping Liu, Xia Li, Limeng Wu
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Matrix generalizations of integrable systems with Lax integro-differential representations
Karpatsʹkì Matematičnì Publìkacìï, 2013 We found matrix integro-differential Lax representations for Davey-Stewartson systems (DSI, DS-II, DS-III), (2+1)-dimensional generalizations of Chen-Lee-Liu equation and its higher symmetries.
Yu. M. Sydorenko, O. I. Chvartatskyi
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, 2018 The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differential equations. The derivatives of the $R$ matrix elements, however, can
Vieira, R. S.
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Mapping the evolution of mitochondrial complex I through structural variation
FEBS Letters, EarlyView.Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
wiley +1 more source
On linear matrix differential equations
Journal of Mathematical Analysis and Applications, 1971 AbstractIf F(z) ≠ 0 is a holomorphic function on a connected open subset U of the complex plane, it is easily shown that F satisfies a homogeneous linear differential equation of order n on U with leading coefficient 1 if and only if all the zeros of F have order less than n. This theorem will be generalized to holomorphic m × n matrix valued functions
Koch, Richard M, Lowenthal, Franklin
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Fredholm determinants, differential equations and matrix models [PDF]
Communications in Mathematical Physics, 1994 Orthogonal polynomial random matrix models of NxN hermitian matrices lead to Fredholm determinants of integral operators with kernel of the form (phi(x) psi(y) - psi(x) phi(y))/x-y. This paper is concerned with the Fredholm determinants of integral operators having kernel of this form and where the underlying set is a union of open intervals.
Tracy, Craig A., Widom, Harold
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Fractal and Fractional, 2021 Herein, we developed and analyzed a new fractal–fractional (FF) operational matrix for orthonormal normalized ultraspherical polynomials. We used this matrix to handle the FF Riccati differential equation with the new generalized Caputo FF derivative ...
Youssri Hassan Youssri
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