
INVERSE PROBLEM FOR A NONLINEAR INTEGRAL AND DIFFERENTIAL EQUATION OF THE THIRD ORDER
Author(s) -
T. K. Yuldashev
Publication year - 2013
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2013-19-9.1-58-66
Subject(s) - mathematics , inverse problem , nonlinear system , mathematical analysis , uniqueness , inverse , integral equation , partial differential equation , uniqueness theorem for poisson's equation , order (exchange) , first order partial differential equation , differential equation , physics , geometry , finance , quantum mechanics , economics
In this paper a method of study of inverse problem for a nonlinear partial integral and differential equation of the third order is proposed. A theorem on the existence and uniqueness of solution of this inverse problem is proved.