The Hicks property for a variational problem on a graph

In this paper we use the Hicks property for a variational problem on a graph. For an elastic system defined on a graph we state a well-posed problem which implies the definition and the study of the influence function.     

Oscillation properties of the spectrum of a boundary-value problem with Green's function of variable sign

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 11, pp. 1521–1526, November, 1989.     

On a Class of Ordinary Differential Equations of Various Orders on a Graph

Mathematical Notes -     

On the Euler and Jacobi differential equations for variational problems with impulse parameters

We study the differential equation −(pu′)′ + qu = f with generalized coefficients for the case in which it is realized in the form of the Euler equation or the Jacobi equation for a variational problem with impulse parameters.     

Stieltjes differential in impulsive problems with discontinuous solutions

Doklady Mathematics -