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A brief review of present situation in development of GW detector technique is described. Current upper limits of GW radiation from main classes of relativistic astrophysical objects are given. Strategy of multichannel search for, - so called "multi messenger astronomy" is discussed. It is associated with the properties of three types of transient astrophysical sources that are well known in the EM spectrum. These sources are expected to produce transient GW signals in the laser interferometric detector frequency range, and possibly neutrino fluxes as well. In that number there are 1) coalescence of NS and BH binary systems, 2) core collapsing stars, 3) flaring/bursting NSs. Joint GW+EM and neutrino observations are expected to provide a wealth of information among which: a) improvement in the confidence in first GW detection, b) useful priors in GW data analysis parameter space , c) complement our knowlege of the physics of sources. Algorithms of joint multichannel data processing are under development. In particular such program will be performed with Gravitational antenna OGRAN is the setup having a combination of acoustical and optical principles of gravitational wave detection. OGRAN was developed and constructed by collaboration of Moscow State University (Sternberg Astronomical Institute, SAI MSU) and Russian Academy of Sciences (Institute of Nuclear Research, INR RAS, and Institute of Laser Physics, ILP SB RAS). At present the antenna OGRAN is installed in underground facilities of the Baksan Neutrino Observatory of INR RAS and is going on through a commission stage. Using this instrument, a long time observation of the gravity gradient background is planned in parallel with neutrino events monitoring at the neutrino telescope setup (BUST) having the goal of a joint search for collapsing stars – relativistic transient events in our Galaxy and close halo region with radius ~ 100 Kpc. Extension of the zone of detectable sources requires an instrument with enhanced sensitivity. For the OGRAN antenna construction it could be achieved in particular using its cryogenic version with cooled solid body GW detector.