In this paper we consider evolution and differential-difference equations which contain a variable parameter. We also derive and proof numerous formulas which represent solutions and coefficients of such equations. On the basis of the obtained results we formulate and investigate new inverse problems.
In the paper we present new constructive methods of investigation of multidimensional inverse problems for kinetic and other evolution equations. These problems correspond to the author's previous researches and continue them.
Multidimensional systems of kinetic equations are considered in this paper. New representations for solutions and coefficients are given and operator formulas are obtained for solving a certain inverse problem.
We develop a new method of investigating inverse problems with a parameter and we take one problem for an evolution equation as an example. We introduce formulas for a solution and a coefficient of the Schrödinger type equation.