Search results for "Linear difference equation"

showing 3 items of 3 documents

On optimal estimates for the solutions of linear difference equations on the circle

1976

A linear difference equation arising in the proof of Moser's twist mapping theorem is solved and optimal estimates for the solution are established.

Computational MathematicsSpace and Planetary ScienceApplied MathematicsModeling and SimulationAutomotive EngineeringMathematical analysisAstronomy and AstrophysicsTwistLinear difference equationMathematical PhysicsMathematicsCelestial Mechanics
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Construction of a fundamental set of solutions of an arbitrary homogeneous linear difference equation

2002

Abstract The detailed construction of a prefixed fundamental set of solutions of a linear homogeneous difference equation of any order with arbitrarily variable coefficients is reported. The usefulness of the resulting resolutive formula is illustrated by simple applications to the Hermite polynomials and to the Fibonacci sequence.

Matrix difference equationFibonacci numberHermite polynomialsDifferential equationMathematical analysisMathematicsofComputing_NUMERICALANALYSISCharacteristic equationStatistical and Nonlinear PhysicsDifference equation matrix calculations Fibonacci sequence.Homogeneous differential equationComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONLinear difference equationMathematical PhysicsVariable (mathematics)MathematicsReports on Mathematical Physics
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�ber die Minimall�sung der Poincar�-Perronschen Differenzengleichung

1991

This paper deals with a special class of solutions of the higher order linear difference equation. It is shown that the minimal solution of Poincare-Perron type equations can be expressed in terms of generalized continued fractions.

Pure mathematicsGeneral MathematicsMathematical analysisOrder (group theory)Type (model theory)Special classLinear difference equationMathematicsMonatshefte f�r Mathematik
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