It is studied asymptotic expansion for solution of singularly perturbed equation for Markov random evolution in Rd. The views of regular and singular parts of solution are found.
In this work, for functions that satisfy a Cauchy problem for hyperparabolic equations, we write
integral equations and solve them using the method of successive approximations.
Asymptotic analysis of the problem of large deviations for random evolutions with independent increments in the circuit of the L´evy approximation is carried out. Large deviations for random evolutions in the circuit of ...