Ivanova, S. A.; Mustafokulov, R. On a scalar boundary value problem of fourth order on a space net. (Russian) Zbl 0743.34030 Izv. Akad. Nauk Tadzh. SSR, Otd. Fiz.-Mat. Khim. Geol. Nauk 1990, No. 3(117), 68-70 (1990). The authors consider an ordinary differential equation on a graph and discuss a boundary value problem for the fourth order equation. This problem is a model of small deformations of hinge-tied elastic bars and it is reduced to the classic boundary fourth order differential equation. Reviewer: V.N.Gusyatnikova (Pereslavl-Zalessky) MSC: 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 05C99 Graph theory 34B05 Linear boundary value problems for ordinary differential equations 74H45 Vibrations in dynamical problems in solid mechanics Keywords:ordinary differential equation on a graph; boundary value problem; fourth order equation; small deformations of hinge-tied elastic bars PDFBibTeX XMLCite \textit{S. A. Ivanova} and \textit{R. Mustafokulov}, Izv. Akad. Nauk Tadzh. SSR, Otd. Fiz.-Mat. Khim. Geol. Nauk 1990, No. 3(117), 68--70 (1990; Zbl 0743.34030)