Under the name "Equadiff" two series of important international conferences on differential equations have been organized in Eastern and Western Europe during the last decades. The tradition of the Czechoslovak Equadiff conferences dates back to 1962 when Equadiff 1 was organized in Prague. Subsequent conferences held in Bratislava (1966, 1981, 1993, 2005), Brno (1972, 1985, 1997), and Prague (1977, 1989, 2001). The conference is devoted to all mathematical aspects of differential equations. The central themes are: * ordinary differential equations, * partial differential equations, * delay equations, * stochastic differential equations, * dynamical systems, * numerical analysis, * computation, * applications.