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Geometric Linearization of Ordinary Differential Equations

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
The linearizability of differential equations was first considered by Lie for scalar second order semi-linear ordinary differential equations. Since then there has been considerable work done on the algebraic classification of linearizable equations and ...
Asghar Qadir
doaj  

Ordinary differential equations in affine geometry

open access: yesLe Matematiche, 1996
The method of qualitative analysis is used, as applied to a class of fourth order, nonlinear ordinary differential equations, in order to classify, both locally and globally, two classes of hypersurfaces of decomposable type in affine geometry: those ...
Salvador Gigena
doaj  

Dynamic characteristics of a variable-mass flexible missile [PDF]

open access: yes
The general motion of a variable mass flexible missile with internal flow and aerodynamic forces is considered. The resulting formulation comprises six ordinary differential equations for rigid body motion and three partial differential equations for ...
Bankovskis, J., Meirovitch, L.
core   +1 more source

Variable-mesh method of solving differential equations [PDF]

open access: yes, 1969
Multistep predictor-corrector method for numerical solution of ordinary differential equations retains high local accuracy and convergence properties. In addition, the method was developed in a form conducive to the generation of effective criteria for ...
Van Wyk, R.
core   +1 more source

Numerical solution of uncertain second order ordinary differential equation using interval finite difference method [PDF]

open access: yes, 2012
It is well known that differential equations are in general the backbone of physical systems. The physical systems are modelled usually either by ordinary differential or partial differential equations.
Behera, Kshyanaprabha
core  

Cauchy-Kowalevski and polynomial ordinary differential equations

open access: yesElectronic Journal of Differential Equations, 2012
The Cauchy-Kowalevski Theorem is the foremost result guaranteeing existence and uniqueness of local solutions for analytic quasilinear partial differential equations with Cauchy initial data. The techniques of Cauchy-Kowalevski may also be applied to
Roger J. Thelwell   +2 more
doaj  

Lebesgue Measurable Function In Fractional Differential Equations

open access: yesJournal of Kufa for Mathematics and Computer, 2011
Bassam, M.A. [1], proved some existence and uniqueness theorems for the following fractional linear differential equation.
Sabah Mahmood Shaker
doaj   +1 more source

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