In this work, we concentrate on determining explicit expressions, via suitable orthogonal polynomials on the line, for the Green function associated with any regular boundary value problem on a weighted path, whose weights ...

Los modelos de gradiente basados en desplazamientos suavizados son una alternativa a los modelos est´andares para simular num´ericamente el proceso de fallo de materiales. En esta formulaci´on alternativa coexisten los ...

It is shown that the generalized equipartition theorem as applied to the momentum may fail, even though the usual conditions of validity are met. This failure is linked to the nature of the confining walls, with ideal walls ...

In this study, we define a class of non-self-adjoint boundary value problems on finite networks associated with Schrodinger operators. The novel feature of this study is that no data are prescribed on part of the boundary, ...

We aim here at analyzing self-adjoint boundary value problems on finite networks associated with positive semi-definite Schrödinger operators. In addition, we study the existence and uniqueness of solutions and its ...

The non-selfadjoint nature of some second order differential equations with periodic boundary conditions is exhibited by describing properties of its spectrum, such as geometric and algebraic multiplicities and existence ...