6533b862fe1ef96bd12c6ab6
RESEARCH PRODUCT
Solution of a cauchy problem for an infinite chain of linear differential equations
Jerzy KrawczykJ. Krasnyjsubject
Cauchy problemMethod of undetermined coefficientsLinear differential equationElliptic partial differential equationHomogeneous differential equationMathematical analysisStatistical and Nonlinear PhysicsCauchy boundary conditiond'Alembert's formulaHyperbolic partial differential equationMathematical PhysicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-10-01 | Reports on Mathematical Physics |