Results 81 to 90 of about 4,024 (108)

On Systems of Integro-Differential and Integral Equations with Identically Singular Matrix Multiplying the Principal Part

Differential Equations, 2022
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Bulatov, M. V., Solovarova, L. S.
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Approximate nonsymmetric solutions of many-particle equations and some identities for the density matrix

Mathematical Notes, 1996
1. I. I. vorovich, in: Proceedings of H All-Union Congress on Theoretical and Applied Mechanics [in Russian], Vol. 3, Nauka, Moscow (1966), pp. 116-136. 2. V. E. KovaVchuk and I. I. Vorovich, Prikl. Mat. Mekh. [J. Appl. Math. Mech.], 31, No. 5, 861-869 (1967). 3. V. E. Koval~chuk, PriM. Mat. Mekh. [J. Appl. Math. Mech.], as, No. 3, 511-518 (1969).
Maslov, V. P., Shvedov, O. Yu.
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The number of solutions to the alternate matrix equation over a finite field and a q-identity

Journal of Statistical Planning and Inference, 2001
Let \(F_q\) be a finite field with \(q\) elements, where \(q\) is a power of a prime. In this paper, the authors first correct a counting error for the formula \(N(K_{2\nu}, O^{(m)})\) occurring in a paper by \textit{L. Carlitz} [Arch. Math. 5, 19-31 (1954; Zbl 0056.01702)].
Wei, Hongzeng, Zhang, Yibin
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One-dimensional integral equations for a system of three identical particles in the boundary condition model and the possibility of changing the off-shell behaviour of the two-particle T-matrix

Nuclear Physics A, 1976
Abstract It is shown that in the framework of the boundary condition model (BCM) for the two-particle interaction the Schrodinger equation for the system of three identical bosons can be reduced to the one-dimensional integral equation in an exact way.
V.N. Efimov, H. Schulz
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Matrix Kadomtsev Petviashvili equation: matrix identities and explicit non-singular solutions

Journal of Physics A: Mathematical and General, 2003
Summary: A new version of the Bäcklund--Darboux transformation for the matrix Kadomtsev-Petviashvili (KP) equation is used to construct and study explicit multi-parameter solutions and wavefunctions (in terms of the matrix exponents). A class of the self-adjoint non-singular solutions of KP I is introduced using the controllability notion from system ...
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Operator Identities and the Solution of Linear Matrix Difference and Differential Equations

Studies in Applied Mathematics, 1994
We use operator identities in order to solve linear homogeneous matrix difference and differential equations and we obtain several explicit formulas for the exponential and for the powers of a matrix as an example of our methods. Using divided differences we find solutions of some scalar initial value problems and we show how the solution of matrix ...
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(w; β)-BELL POLYNOMIALS ∀w ∈ C, β > 0, THEIR APPLICATIONS IN IDENTITIES EVALUATION AND MATRIX EQUATION REPRESENTATION

jnanabha
In the present paper on application of (w; β)-Bell polynomials ∀w ∈ C, β > 0, authors obtain identities of Kummer confluent hypergeometric function and Srivastava - Daoust function of two variables. Next they derive that the differentiation of these polynomials is connected with Stirling numbers of second kind.
R. C. Singh Chandel, Hemant Kumar, null J. L´opez-Bonilla   +2 more
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Solving Complex-Valued Time-Varying Linear Matrix Equations via QR Decomposition With Applications to Robotic Motion Tracking and on Angle-of-Arrival Localization

IEEE Transactions on Neural Networks and Learning Systems, 2022
Vasilios N Katsikis, Spyridon D Mourtas, Predrag S Stanimirović   +2 more
exaly  

A robust noise tolerant zeroing neural network for solving time-varying linear matrix equations

Neurocomputing, 2022
Ratikanta Behera, Predrag S Stanimirović   +1 more
exaly