We consider a problem for a first-order differential equationin a Hilbert space. We replace the initial data with some condition that includes the integralof the solution over the entire time interval on which we solve the problem.It is proved that the problem has a unique solution on an arbitrary time intervalunder the condition that some of the data are positive.
- differential equation in a Hilbert space
- nonlocal time data
- uniqueness of solution
- 1.01 MATHEMATICS