Some identification problems for integro-differential operator equations

Details Some identification problems for integro-differential operator equations Some identification problems for integro-differential operator equations

2000-11-17

arxiv.org/abs/math/0011132v1

Mathematics

Functional Analysis

15pp

Scientific paper

We consider, in a Hilbert space $H$, the convolution integro-differential equation $u''(t)-h*Au(t)=f(t)$, $0\le t\le T$, $h*v(t)=\int_0^t h(t-s)v(s) ds$, where $A$ is a linear closed densely defined (possibly selfadjoint and/or positive definite) operator in $H$. Under suitable assumptions on the data we solve the inverse problem consisting of finding the kernel $h$ from the extra data (measured data) of the type $g(t):=(u(t),\phi)$, where $\phi$ is some eigenvector of $A^*$. An inverse problem for the first-order equation $u'(t)-l*Au(t)=f(t)$, $0\le t\le T$, is also studied when $A$ enjoys the same properties as in the previous case.

Affiliated with

Also associated with

No associations

Rating

Some identification problems for integro-differential operator equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some identification problems for integro-differential operator equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some identification problems for integro-differential operator equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-127153