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Projection method for solving degenerate first-order identification problem. (English) Zbl 1193.34021

The paper deals with an inverse problem for a degenerate differential equation in a Banach space. A projection method is used to reduce the problem to a regular abstract inverse problem. The obtained abstract results are illustrated by various examples involving partial differential equations.

MSC:

34A55 Inverse problems involving ordinary differential equations
34G10 Linear differential equations in abstract spaces
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References:

[1] AL Horani, M.H.; Favini, A., An identification problem for first-order degenerate differential equations, J. optim. theory appl., 130, 41-60, (2006) · Zbl 1129.65044
[2] Favini, A.; Lorenzi, A., Identification problems for singular integro-differential equations of parabolic type I, Dyn. contin. discrete impuls. syst. ser. A math. anal., 12, 303-328, (2005) · Zbl 1081.45006
[3] Favini, A.; Lorenzi, A., Identification problems for singular integro-differential equations of parabolic type II, Nonlinear anal., 56, 879-904, (2004) · Zbl 1048.45009
[4] Favini, A.; Lorenzi, A., Singular integro-differential equations of parabolic type and inverse problems, Math. models methods appl. sci., 13, 1745-1766, (2003) · Zbl 1059.45010
[5] AL Horani, M.H., An identification problem for some degenerate differential equations, Le matematiche, 57, 217-227, (2002) · Zbl 1072.34055
[6] Lorenzi, A., Introduction to identification problem via functional analysis, (2001), VSP Utrecht
[7] Favini, A.; Yagi, A., Degenerate differential equations in Banach spaces, (1999), Dekker New York-Basel-Hong Kong · Zbl 0913.34001
[8] Yosida, K., Functional analysis, (1980), Springer Verlag Berlin-Heidelberg-New York · Zbl 0217.16001
[9] Kato, T., Perturbation theory for linear operators, (1966), Springer Verlag Berlin-Heidelberg-New York · Zbl 0148.12601
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