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Ordinary Differential Equations Texts.
The American Mathematical Monthly, 1998(1998). Ordinary Differential Equations Texts. The American Mathematical Monthly: Vol. 105, No. 4, pp. 377-383.
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Ordinary Differential Equations in Rn
1984We see that numerous applications to biology, chemistry, economics and medicine have recently been added to the traditional ones in mechanics, hence ordinary differential equations become again a fundamental tool for understanding scientific world. In the last yeares interest for non linear analysis has steadily grown, and the theory of non linear ...
PICCININI, Livio Clemente +2 more
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Attractors of Ordinary Differential Equations
Ukrainian Mathematical Journal, 2000The author gives sufficient conditions for the existence of polynomial attractors for ODEs. This problem is generally treated by perturbation techniques. Here, the author uses Lyapunov vector functions and introduces the notion of polynomial asymptotic equilibrium.
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Explicit Ordinary Differential Equations
1998In the last chapter we discussed the numerical treatment of explicit ordinary differential equations. Here, we will consider the more general case, implicit ordinary differential equations.
Edda Eich-Soellner, Claus Führer
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Invariance for ordinary differential equations
Mathematical Systems Theory, 1967which remains in S on its maximal interval o f existence. T h e basic theorems in Sections 2 and 3 are the following. 1. I f A C R" is locally compact, g is cont inuous on A and g(x) is subtangential to A at x for every x ~ A N bnd A, then for each x0 ~ A there exists 8 = 8(x0) > 0 and a solution ~b o f (A), 6(0) = x0, which remains in A for 0 ~< t ...
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Optimal Switching for Ordinary Differential Equations
SIAM Journal on Control and Optimization, 1984The authors consider some deterministic control problems where switching between various controls induces a given cost. Using the known relations between deterministic control problems, dynamic programming arguments, and viscosity solutions of Hamilton-Jacobi equations, the authors study this problem and, in particular, prove the uniqueness of the ...
CAPUZZO DOLCETTA, Italo, L. C. Evans
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Ordinary Differential Equations.
The American Mathematical Monthly, 1963J. C. Burkill, G. Birkhoff, G. Rota
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Ordinary Differential Equations & Computability
2018 20th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2018We review several results relating ordinary differential equations and analog models of computations.
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Parallel Solution of Ordinary Differential Equations
IEEE Transactions on Computers, 1978This paper presents a performance comparison of three parallel algorithms for the solution of sets of coupled first-order differential equations. A general format for comparison of the algorithms is given, and performance equations for the two processor cases are developed.
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Ordinary Differential Equations and Linear Systems of Ordinary Differential Equations
2022Mohammad Ashraf +2 more
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