Lopushanskyy A. Linear and nonlinear operator-differential equations on complex interpolation scales

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0517U000108

Thesis Registration Form

0517U000108.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

10-02-2017

Specialized Academic Board

Д 35.051.07

Ivan Franko National University of Lviv

Essay

New conditions of the maximum regularity of solutions of the nonlinear Hammerstein type operator-differential equations with kernels on complex interpolation scales of operators, an abstract fractional Cauchy problem are found. A new method of approximation of a solution of an abstract fractional Cauchy problem, perturbed on complex interpolation scales of an operator, built without restrictions on the norm of the perturbed operator. Unique solvability of direct and some inverse fractional problems are obtained.

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