Results 241 to 250 of about 230,291 (288)

He’s variational iteration method for solving linear and non-linear systems of ordinary differential equations

Applied Mathematics and Computation, 2007
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Biazar, J., Ghazvini, H.
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An Efficient Method for Solving Systems of Linear Ordinary and Fractional Differential Equations

Bulletin of the Malaysian Mathematical Sciences Society, 2015
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Didgar, Mohsen, Ahmadi, Nafiseh
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Quadrature methods for highly oscillatory linear and nonlinear systems of ordinary differential equations: part I

BIT Numerical Mathematics, 2008
Consider the highly oscillatory system of ordinary differential equations (ODEs) \[ y'=A_{\omega }y+f(t,y),\quad y(0)=y_o\in{\mathbb{R}}^d,\;t\geq 0, \] where \(A_{\omega}\) is a constant non-singular \(d\times d\) matrix with large eigenvalues, \(\sigma (A_{\omega })\subset\) i\({\mathbf{R}}\), \(\parallel A_{\omega}\parallel\gg 1,\omega\gg 1\) is a ...
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Controllability and Canonical Forms for Multipass Systems Described by Linear Ordinary Differential Equations

IMA Journal of Mathematical Control and Information, 1984
The controllability and reachability of multipass systems governed by linear ordinary differential equations are considered and some results given on canonical forms for such systems. These results are used to construct deadbeat controllers.
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Oscillation and Nonoscillation Criteria for two-Dimensional Systems of Linear Ordinary Differential Equations

gmj, 2004
Abstract Sufficient conditions are established for the oscillation and nonoscillation of the system 𝑢′ = 𝑞(𝑡)𝑣, 𝑣′ = –𝑝(𝑡)𝑢, where 𝑝, 𝑞 : [0, +∞[→] – ∞, +∞[ are locally summable functions, 𝑞(𝑡) ≥ 0 for 𝑡 ≥ 0, and .
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Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations

Communications of the ACM, 1967
Abstract : In such diverse areas as radiative transfer in planetary atmospheres and optimal guidance and control, two-point boundary-value problems for unstable systems arise, greatly complicating the numerical solution. An invariant imbedding technique is presented which is useful in overcoming these frequently encountered instabilities, and the ...
Bellman, R. E., Kagiwada, H. H., Kalaba, R. E.   +2 more
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Symmetries and invariants of the systems of two linear second-order ordinary differential equations

Communications in Nonlinear Science and Numerical Simulation, 2014
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Invariant linearization criteria for a three-dimensional dynamical system of second-order ordinary differential equations and applications

International Journal of Non-Linear Mechanics, 2016
Abstract Second-order dynamical systems are of paramount importance as they arise in mechanics and many applications. It is essential to have workable explicit criteria in terms of the coefficients of the equations to effect reduction and solutions for such types of equations.
A. Aslam, F.M. Mahomed, A. Qadir
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Generalized normal forms for two-dimensional systems of ordinary differential equations with linear and quadratic unperturbed parts

Vestnik St. Petersburg University: Mathematics, 2007
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Basov, V. V., Fedotov, A. A.
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