Geodesic
Problems on eigenvalues for ordinary differential equations of the second order with variable coefficients
Čebyševskij sbornik, Tome 22 (2021) no. 3, pp. 353-367

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In paper the linear homogeneous self-interfaced ordinary differential is considered Second-kind 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).
Keywords: differential equations of the second order, the equation with variable coefficients, a problem Sturm–Liuvill, the spectral equations. 
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     author = {V. I. Gorbachev},
     title = {Problems on eigenvalues for ordinary differential equations of the second order with variable coefficients},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {353--367},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2021_22_3_a20/}
}
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V. I. Gorbachev. Problems on eigenvalues for ordinary differential equations of the second order with variable coefficients. Čebyševskij sbornik, Tome 22 (2021) no. 3, pp. 353-367. http://geodesic.mathdoc.fr/item/CHEB_2021_22_3_a20/