Perturbation Method for First- and Complete Second-Order Differential Equations

作者：Al Horani Mohammed; Favini Angelo^*

来源：Journal of Optimization Theory and Applications, 2015, 166(3): 949-967.

DOI：10.1007/s10957-015-0733-9

• Inverse problem
• First-order problem
• Second-order problem
• c(0)-semigroup
• Analytic semigroup

We are concerned with an inverse problem for a linear evolution equation of the first order. Both hyperbolic and parabolic cases will be considered. A complete second-order evolution equation will be considered together with a related identification problem. We indicate sufficient conditions for the existence and the uniqueness of a solution to these problems. All the results apply well to inverse problems for equations from mathematical physics. Indeed, as a possible application of the abstract theorems, some examples of partial differential equations are given.

• 出版日期2015-9