On the periodic solutions of a particular Lame equation
Copyright policy )On the periodic solutions of a particular Lame equation
The author considers different special second order linear differential equations ( Lamé, Hill, Ince equation), transforms one to other, presents results concerning Ince equation: expression of solutions in a neighbourhood of the poles in the complex field, periodic solutions, theory of existence; development into Fourier series of solutions of Hill's equations, and compares the results obtained by different techniques.
- Badji Mokhtar University Algeria
Lamé, Hill, Ince equation, Linear ordinary differential equations and systems, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., existence, periodic solutions, Periodic solutions to ordinary differential equations, special second order linear differential equations, Special ordinary differential equations (Mathieu, Hill, Bessel, etc.), development into Fourier series, Ordinary differential equations in the complex domain
Lamé, Hill, Ince equation, Linear ordinary differential equations and systems, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., existence, periodic solutions, Periodic solutions to ordinary differential equations, special second order linear differential equations, Special ordinary differential equations (Mathieu, Hill, Bessel, etc.), development into Fourier series, Ordinary differential equations in the complex domain
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