Abstract
Using the methods of the spectral theory of differential operators in Hilbert spaces L2-solvability of some models arising in mathematical biology are investigated. Particularly, concrete solvable models are given
Highlights
Using the methods of the spectral theory of di¤erential operators in Hilbert spaces L2-solvability of some models arising in mathematical biology are investigated
It is known that the general theory of extension of densely de...ned linear operators in Hilbert spaces was initiated by J. von Neumann in his seminal work [17] in 1929
Let us assumed that sup jJnjkKnk < 1: Each boundedly solvable n1 extension Mf of the minimal operator M0 in H is generated by di¤erential-operator expression m( : ) and the boundary conditions
Summary
It is known that the general theory of extension of densely de...ned linear operators in Hilbert spaces was initiated by J. von Neumann in his seminal work [17] in 1929 (for more detail analysis see [18]). Using the methods of the spectral theory of di¤erential operators in Hilbert spaces L2-solvability of some models arising in mathematical biology are investigated.
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