Cosmological Multi-Connected Structures and Hammerstein Integral Equations
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The criteria for the formation of stationary quasi-periodic structures in a system of gravitating particles, described by the system of Vlasov–Poisson equations. Conditions of branching of solutions of a nonlinear integral equation for a generalized gravitational potential are investigated. The arisen non-analytic solutions leading to the origin of structures of relative equilibrium in the cosmological systems consisting galactics, clusters and superclusters.