Results 31 to 40 of about 231,156 (287)
The quantum Arnold transformation [PDF]
, 2010 By a quantum version of the Arnold transformation of classical mechanics, all quantum dynamical systems whose classical equations of motion are non-homogeneous linear second-order ordinary differential equations, including systems with friction linear in
Aldaya, Victor +3 more
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Complexity of irreducibility testing for a system of linear ordinary differential equations [PDF]
Proceedings of the international symposium on Symbolic and algebraic computation, 1990 Let a system of linear ordinary differential equations of the first order Y' = AY be given, where A is n x n matrix over a field F(X), assume that the degree degx(A) < d and the size of any coefficient occuring in A is at most M. The system Y' = AY is called reducible if it is equivalent (over the field F(X)) to a system Y{ = AIYl with a matrix A1 of ...
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Direct Power Series Approach for Solving Nonlinear Initial Value Problems
Axioms, 2023 In this research, a new approach for solving fractional initial value problems is presented. The main goal of this study focuses on establishing direct formulas to find the coefficients of approximate series solutions of target problems.
Emad Salah +3 more
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Multigrid Waveform Relaxation on Spatial Finite Element Meshes: The Discrete-Time Case [PDF]
, 1996 The efficiency of numerically solving time-dependent partial differential equations on parallel computers can be greatly improved by computing the solution on many time levels simultaneously.
Janssen, Jan, Vandewalle, Stefan
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On linear and nonlinear perturbations of linear systems of ordinary differential equations with constant coefficients [PDF]
Transactions of the American Mathematical Society, 1956 where A = Re X); for a sharper result, cf. [5 ]. It is known that if (3) is altered to the condition that each element of th-1G(t) is of class L(O, oo) for a suitable number h, depending on J, then (4) can be improved to an asymptotic formula for each component of y(t); cf., e.g., [5]. It is natural to ask for theorems with assertions stronger than (4),
Hartman, Philip, Wintner, Aurel
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Discover governing differential equations from evolving systems
Physical Review Research, 2023 Discovering the governing equations of evolving systems from available observations is essential and challenging. In this paper, we consider a different scenario: discovering governing equations from streaming data.
Yuanyuan Li, Kai Wu, Jing Liu
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Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper, modification of Dzhumabaev parameterization method is developed to a boundary value problem for systems of loaded differential equations with piecewise constant argument of generalized type (EPCAG).
E. Bakirova +2 more
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On the solution of some simple fractional differential equations
International Journal of Mathematics and Mathematical Sciences, 1990 The differintegration or fractional derivative of complex order ν, is a generalization of the ordinary concept of derivative of order n, from positive integer ν=n to complex values of ν, including also, for ν=−n a negative integer, the ordinary n-th ...
L. M. B. C. Campos
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A Liouville’s Formula for Systems with Reflection
Mathematics, 2021 In this work, we derived an Abel–Jacobi–Liouville identity for the case of two-dimensional linear systems of ODEs (ordinary differential equations) with reflection.
Santiago Codesido, F. Adrián F. Tojo
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Some basic properties of infinite dimensional Hamiltonian systems [PDF]
, 1974 We consider some fundamental properties of infinite dimensional Hamiltonian systems, both linear and nonlinear. For exemple, in the case of linear systems, we prove a symplectic version of the teorem of M. Stone.
Chernoff, P. R., Marsden, J. E.
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