Author: Jerzy Krawczyk

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AUTHOR

Jerzy Krawczyk

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Solution of a cauchy problem for an infinite chain of linear differential equations

2005

Defining the recurrence relations for orthogonal polynomials we have found an exact solution of a Cauchy problem for an infinite chain of linear differential equations with constant coefficients. These solutions have been found both for homogeneous and an inhomogeneous systems.

Cauchy problemMethod of undetermined coefficientsLinear differential equationElliptic partial differential equationHomogeneous differential equationMathematical analysisStatistical and Nonlinear PhysicsCauchy boundary conditiond'Alembert's formulaHyperbolic partial differential equationMathematical PhysicsMathematicsReports on Mathematical Physics

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