Analytical Aspects of the Theory of Tikhonov Systems

Abstract

It is proved that the solutions of Tikhonov systems, in addition to having the property of a limiting transition, are pseudoholomorphic under certain conditions additional to the conditions of A.N. Tikhonov’s theorem. At the same time, the number of fast and slow variables can be anything. Both initial and boundary value problems for systems of this type are considered.

Keywords

• Tikhonov systems
• fast and slow variables
• pseudoholomorphic solutions
• regularization method