Abstract
Asymptotic distribution of eigenvalues for fourth-order boundary value problem with discontinuous coefficients and transmission conditions
Highlights
In classical theory, boundary-value problems for ordinary di¤erential equations are usually considered for equations with continuous coe¢ cients and for boundary conditions which contain only end-points of the considered interval
We investigate a fourth-order boundary value problem with discontinuous coe¢ cients, functional many points and transmission conditions
Boundary-value problems for ordinary di¤erential equations are usually considered for equations with continuous coe¢ cients and for boundary conditions which contain only end-points of the considered interval
Summary
Boundary-value problems for ordinary di¤erential equations are usually considered for equations with continuous coe¢ cients and for boundary conditions which contain only end-points of the considered interval. This paper deals with one nonclassical boundary-value problem for ordinary di¤erential equation with discontinuous coe¢ cients and boundary conditions containing end-points of the considered interval, and a point of discontinuity and internal points. This type problems are connected with di¤erent applied problems which include various transfer problems such as heat transfer in heterogeneous media. It is easy to verify that under this substitution the form of boundary conditions (1.3) has not changed
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