Problem with integral condition for evolution equation
Journal Title: Journal of Mathematics and Applications - Year 2015, Vol 38, Issue
Abstract
We propose a method of solving the problem with nonhomogeneous integral condition for homogeneous evolution equation with abstract operator in a linear space H. For right-hand side of the integral condition which belongs to the special subspace L ⊆H, in which the vectors are represented using Stieltjes integrals over a certain measure, the solution of the problem is represented in the form of Stieltjes integral over the same measure.
Authors and Affiliations
P. I. Kalenyuk, G. Kuduk, I. V. Kohut, Z. M. Nytrebych
Keywords
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