Problems on eigenvalues for ordinary differential equations of the second order with variable coefficients
https://doi.org/10.22405/2226-8383-2021-22-3-353-367
Abstract
Secondkind equation with the variable integrable factors depending on the numerical Parametre (input
equation). The input equation Common decision is about accuracy to two Arbitrary constants by means of the integral formula, before the paper offered by the author. On the general The solution is superimposed two homogeneous conditions from which the system from two equations follows for Arbitrary constants. Demanding, that there was a nontrivial solution of an input equation, We receive the complicated nonlinear equation for numerical parametre (the spectral equation).
About the Author
Vladimir Ivanovich Gorbachev
Lomonosov Moscow State University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor
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Review
For citations:
Gorbachev V.I. Problems on eigenvalues for ordinary differential equations of the second order with variable coefficients. Chebyshevskii Sbornik. 2021;22(3):353-367. (In Russ.) https://doi.org/10.22405/2226-8383-2021-22-3-353-367
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