Geodesic
On solution of an ill-posed problem for a~semilinear differential equation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 2, pp. 189-198

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An extensive literature is devoted to the ill-posed problems connected with a nonlinear operator and differential-operator equations. A regularization method is usually constructed by using the “operator” approach and special properties of the problem operator (for instance, monotonicity). In this paper, stable approximate solutions of an ill-posed differential problem are constructed by a method of the quasi-inversion type. The convergence of the constructed approximate solutions to the exact solution of the initial problem is investigated. 
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     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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V. P. Tanana; I. V. Tabarintseva. On solution of an ill-posed problem for a~semilinear differential equation. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 2, pp. 189-198. http://geodesic.mathdoc.fr/item/SJVM_2002_5_2_a7/