S. V. Kirichenko, L. S. Pul'kina, “A problem with nonlocal initial data for one-dimensional hyperbolic equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, Number 9,Pages <nobr>17

This article is cited in 4 papers

A problem with nonlocal initial data for one-dimensional hyperbolic equation

S. V. Kirichenko^a, L. S. Pul'kina^b

^a Chair of Higher Mathematics, Samara State University of Railway Transport, 18 1st Bezymyannyi Lane, Samara, 443066 Russia
^b Chair of Equations of Mathematical Physics, Samara State University, 1 Akad. Pavlov str., Samara, 443011 Russia

Abstract: In this article we consider a boundary-value problem for hyperbolic equation with nonlocal initial data in integral form. We prove the existence and uniqueness of generalized solution.

Keywords: hyperbolic equation, nonlocal problem, integral conditions, generalized solution.

UDC: 517.956

Received: 18.03.2013