Results 161 to 170 of about 368,146 (227)

Systems of Ordinary Differential Equations

2010
In Chap. 2, we saw that models of the form\(y{\prime}(t) = F(y),\,\,\,y(0) = y_{0,}\)can be used to model natural processes.
Aslak Tveito, Hans Petter Langtangen, Bjørn Frederik Nielsen, Xing Cai   +3 more
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Systems of Ordinary Differential Equations

2019
Integration of systems of ODEs by seeking first integrals is studied. The connection with first-order PDEs is examined. The integration of a system of linear ODEs is seen to reduce to an eigenvalue problem.
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Reduction of underdetermined systems of ordinary differential equations: III

Differential Equations, 2009
The author considers the classification of underdetermined systems of quasi-linear autonomous ordinary differential equations under smooth transformations of the dependent variables. For this purpose, the differential equations are transformed into equivalent Pfaffian systems.
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Computation of fold and cusp bifurcation points in a system of ordinary differential equations using the Lagrange multiplier method

International Journal of Dynamics and Control, 2021
L. Owen, J. M. Tuwankotta
semanticscholar   +1 more source

AVERAGING OF SOME SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS

Mathematics of the USSR-Sbornik, 1984
Translation from Mat. Sb., Nov. Ser. 119(161), No.4(12), 534-547 (Russian) (1982; Zbl 0519.34031).
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AVERAGING IN SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS

Russian Mathematical Surveys, 1962
CONTENTSIntroduction § 1. The method of averaging § 2. Some problems connected with the justification of the method of averaging § 3. Some applications to problems in the theory of oscillations § 4. Some calculations of higher approximations § 5. The calculation of the phase of the oscillations and of asymptotic approximations to the perturbed motion ...
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Systems of Ordinary Differential Equations

2017
So far we have only considered scalar boundary value problems, that is, a single differential equation that contains one unknown function u(x). We now generalise the finite element method so that it may be applied to coupled systems of differential equations.
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Solving Systems of Ordinary Differential Equations

1998
Abstract If a process is described by a system of ordinary differential equations, which is also a boundary value problem (BVP), a clearer physical understanding is obtained from the solution of the BVP problem, rather than treating the system as an initial value problem (IVP).
P J Heggs, C Walton
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Stiff Systems of Ordinary Differential Equations

2003
The experience of numerical integration of Cauchy problems for ordinary differential equations shows that it is especially the stiff systems that require a special numerical methods. In this chapter the effect of λ-transformations on such systems of ordinary differential equations and on methods of their integration will be considered.
V. I. Shalashilin, E. B. Kuznetsov
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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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