Results 131 to 140 of about 16,357 (168)

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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Basov, V. V., Fedotov, A. A.
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The application of an approximate non-linear filter to systems governed by coupled ordinary and partial differential equations

International Journal of Systems Science, 1975
Abstract An approximate non-linear filter is applied to systems described by coupled ordinary and partial differential equations with both volume and boundary disturbances and measurement errors. Measurements are assumed to be carried out at u discrete number of spatial positions in the distributed portion of the system.
Ajinkya, M. B., Ray, W. H., Yu, T. K., Seinfeld, J. H.   +3 more
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Applications of linear ordinary differential equations and dynamic system to economics - an example of Taiwan stock index TAIEX

International Journal of Dynamical Systems and Differential Equations, 2017
Mean reversion of stock price is an observed phenomenon in finance. It is similar to the concept of Newton`s law of cooling. Three models of ordinary differential equation are derived from the concept and solved by dynamic integration. The models are applied to the daily closing price of Taiwan Stock Exchange Capitalisation Weighted Stock Index ...
Nien Ping Chen, Meng Rong Li, Tsung Jui Chiang Lin, Young Shiuan Lee, Daniel Wei Chung Miao   +4 more
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Ordinary Differential Equations and Linear Systems of Ordinary Differential Equations

2022
Mohammad Ashraf, Vincenzo De Filippis, Mohammad Aslam Siddeeque   +2 more
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Quantization and a Green’s Function for Systems of Linear Ordinary Differential Equations

1976
One of the traditional puzzles for students of quantum mechanics is the reconciliation of the quantification principle that wave functions must be square integrable with the reality that continuum wave functions do not respect this requirement. By protesting that neither are they quantized the problem can be sidestepped, although some ingenuity may ...
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