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ISSAC
1993
Springer
119views Mathematics» more  ISSAC 1993»
13 years 11 months ago
Finding all Hypergeometric Solutions of Linear Differential Equations
Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkov6ek’s algorithm to fi...
Marko Petkovsek, Bruno Salvy
APPML
2005
82views more  APPML 2005»
13 years 7 months ago
Existence of positive periodic solutions to nonlinear second order differential equations
In this paper, we discuss the existence of positive periodic solutions to the nonlinear differential equation u (t) + a(t)u(t) = f (t, u(t)), t R, where a : R [0, +) is an -peri...
Fuyi Li, Zhanping Liang
NA
2010
124views more  NA 2010»
13 years 2 months ago
An efficient unified approach for the numerical solution of delay differential equations
In this paper we propose a new framework for designing a delay differential equation (DDE) solver which works with any supplied initial value problem (IVP) solver that is based on...
Hossein ZivariPiran, Wayne H. Enright
ENTCS
2008
64views more  ENTCS 2008»
13 years 7 months ago
Effective Computability of Solutions of Ordinary Differential Equations The Thousand Monkeys Approach
In this note we consider the computability of the solution of the initial-value problem for ordinary differential equations with continuous right-hand side. We present algorithms ...
Pieter Collins, Daniel S. Graça
MOC
2002
148views more  MOC 2002»
13 years 7 months ago
Convergence of an iterative algorithm for solving Hamilton-Jacobi type equations
Abstract. Solutions of the optimal control and H-control problems for nonlinear affine systems can be found by solving Hamilton-Jacobi equations. However, these first order nonline...
Jerry Markman, I. Norman Katz