Criteria for the Well-Posedness of the Cauchy Problem for Differential Operator Equations of Arbitrary Order

Author:

Vlasenko L. A.,Piven’ A. L.,Rutkas A. G.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference22 articles.

1. A. G. Rutkas, “The Cauchy problem for the equation Ax′(t) + Bx(t) = f(t), ” Differents. Uravn., 11, No.11, 1996–2010 (1975).

2. A. G. Rutkas, “On the classification and properties of the equation Ax′ + Bx = f(t),” Differents. Uravn., 25, No.7, 1150–1155 (1989).

3. A. Rutkas and L. Vlasenko, “Implicit operator differential equations and applications to electrodynamics, ” Math. Meth. Appl. Sci., 23, No.1, 1–15 (2000).

4. L. A. Vlasenko and A. G. Rutkas, “Theorems of uniqueness and approximation for a degenerate operator-differential equation,” Mat. Zametki, 60, No.4, 597–600 (1996).

5. A. L. Piven’ and A. G. Rutkas, “Well-posedness of the Cauchy problem for operator-differential equations of high order,” Dop. Nats. Akad. Nauk Ukrainy, No. 5, 32–37 (2003).

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