On a Class of Inverse Problems for Degenerate Differential Equations

• Fadi Awawdeh
• H.M. Jaradat

• Inverse Problem
• Degenerate Differential Equations
• Perturbation Theory for Linear Operators

[1] M.H. Al Horani, Projection method for solving degenerate first-order
identification problem, J. Math. Anal. Appl. 364(1) (2010) 204-208.
[2] M.H. Al Horani, Favini, A.: An identification problem for first-order
degenerate differential equations. J. Optim. Theory Appl. 130 (2006)
41-60.
[3] F. Awawdeh, Perturbation method for abstract second-order inverse
problems, Nonlinear Analysis, 72 (2010) 1379-1386.
[4] F. Awawdeh, Ordinary Differential Equations in Banach Spaces with
applications, PhD theses, Jordan University, 2006.
[5] W. Desh and W. Schappacher, Some Perturbation Results for Analytic
Semigroups. Math. Ann. 281 (1988) 157-162.
[6] W. Desh andW. Schappacher, On Relatively Perturbations of Linear c0−
Semigroups, Annali della Scuola Normale Superiore di Pisa - Classe di
Scienze, S'er. 4, 11(2) (1984) 327-341.
[7] A. Favini and A. Yagi, Degenerate Differential Equations in Banach
Spaces. Marcel Dekker. Inc. New York. (1999).
[8] J. Goldstein, Semigroups of Linear Operators and Applications, Oxford
University Press: New York-Oxford, (1985).
[9] E. Hille and E. Phillips, Functional Analysis and Semigroups, AMS:
Providence, RI, (1957).
[10] T. Kato, Perturbation Theory of Linear Operators. Springer: New York-
Berlin-Heidelberg, (1976).
[11] A. Lorenzi, An Introduction to Identification Problems via Functional
Analysis. Inverse and Ill-Posed Problems Series. VSP, Utrecht (2001).
[12] A. Lorenzi, An inverse problem for a semilinear parabolic equation,
Annali di Mathematica Pure e Applicata, 82 (1982) 145-166.
[13] D. Orlovsky, An inverse problem for a second order differential equation
in a Banach space, Differential Equations, 25 (1989) 1000-1009.
[14] D. Orlovsky, An inverse problem of determining a parameter of an
evolution equation, Differential Equations, 26 (1990) 1614-1621.
[15] D. Orlovsky, Weak and strong solutions of inverse problems for differential
equations in a Banach space, Differenial Equations, 27 (1991)
867-874.
[16] G. Pavlov, On the uniqueness of the solution of an abstract inverse
problem, Differenial Equations, 24 (1988) 1402-1406.
[17] M. Pilant and W. Rundell, An inverse problem for a nonlinear elliptic
differential equation, SIAM J. Mathem. Anal., 18 (6) (1987) 1801-1809.
[18] I. Prilepko, G. Orlovsky and A. Vasin, Methods for Solving Inverse
Problems in Mathematical Physics. Marcel Dekker. Inc. New York.
(2000).