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Decomposition of Systems of Ordinary Differential Equations
1995Let us consider the following differential equation: $$\frac{{dy}}{{dt}} = A(t)y,$$ (2.1) where y is n dimensional vector and A(t) is the matrix with elements which are the real functions \({a_{ij}}\left( t \right),i,j = \overline {1,n}\) continuous on the segment of the real axis [t 0 , t c ]. Assume that y(t 0 ) = y 0 .
Yu. A. Mitropolsky, A. K. Lopatin
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Bifurcations of systems of ordinary differential equations
Ukrainian Mathematical Journal, 1985A system of differential equations with a parameter in the right-hand side is studied. A relation between the periodic solution of the given system and the periodic solution of an appropriate constructed linear system is investigated. Sufficient conditions for the existence of the bifurcational value of the parameter for some classes of differential ...
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Solution of the system of ordinary differential equations by Adomian decomposition method
Applied Mathematics and Computation, 2004J. Biazar, E. Babolian, Rafiqul Islam
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Integrals of Systems of Ordinary Differential Equations
Mathematical Proceedings of the Cambridge Philosophical Society, 1924Letbe a system of differential equations in which X1, … Xn are analytic functions independent of t, expansible in convergent series of powers of x1, … xn. Suppose further that not all the functions X1, … Xn vanish when x1 = … = xn = 0. It will be shown in §§ 1–3 that these equations possess (n — 1) independent integrals independent of t, expansible in ...
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Systems of Ordinary Differential Equations
1993Martha L. Abell, James P. Braselton
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Applications of systems of ordinary differential equations
1993Martha L. Abell, James P. Braselton
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