Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces

Author:

Horbatenko Ya. V.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference9 articles.

1. T. Xiao and J. Liang, The Cauchy Problem for Higher-Order Abstract Differential Equations, Springer, Berlin (1998).

2. T. Xiao and J. Liang, “On complete second-order linear differential equations in Banach spaces,” Pacif. J. Math., 142, No. 1, 175–195 (1990).

3. L. A. Vlasenko, A. L. Piven’, and A. G. Rutkas, “Criteria for the well-posedness of the Cauchy problem for differential operator equations of arbitrary order,” Ukr. Math. J., 56, No. 11, 1766–1781 (2004).

4. H. O. Fattorini, Second-Order Linear Differential Equations in Banach Spaces, Elsevier, Amsterdam (1985).

5. V. A. Kostin, Exactly Uniform Correct Solvability of Initial Boundary-Value Problems for Equations in a Banach Space and Abstract Special Functions [in Russian], Doctoral-Degree Thesis (Physics and Mathematics), Voronezh (1994).

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