The theorems of the existence and uniqueness of almost periodic solutions of the half-space boundary value problems for the semilinear parabolic equations. It is investigated the nonlocal boundary value problems for the systems hyperbolic equations by the method parametrisation and it is established uniquely solvability considering problem. It is obtained the sufficients conditions of existence and uniqueness of the bounded of a strip solution for the hyperbolic systems by the parametrisations method.
Main publications:
A. T. Asanova, “Periodic Solutions in the Plane of Systems of Second-Order Hyperbolic Equations”, Mathematical Notes, 101:1 (2017), 39–47
A. T. Assanova, “Solvability of a nonlocal problem for a hyperbolic equation with integral conditions”, Electronic Journal of Differential Equations, 2017:170 (2017), 1-12
A. T. Assanova, “On the solvability of nonlocal boundary value problem for the systems of impulsive hyperbolic equations with mixed derivatives”, Discontinuity, Nonlinearity and Complexity, 5:2 (2016), 153-165
A. T. Asanova, “On solvability of nonlinear boundary value problems with integral condition for the system of hyperbolic equations”, Electronic Journal of Qualitative Theory of Differential Equations, 2015:63 (2015), 1-13
A. T. Asanova, D. S. Dzhumabaev, “Well-posedness of nonlocal boundary value problems with integral condition for the system of hyperbolic equations”, Journal of Mathematical Analysis and Applications, 402:1 (2013), 167-178
