Monotone iterative processes for nonlinear operator equations and their applications to Volterra equations

Journal of Inverse and Ill-Posed Problems

Volumn 4, Issue 4, 1996, Pages 331-340

  Vasin, V V ^a  

^a INSTITUTE OF MATHEMATICS AND MECHANICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347876911     PISSN: 09280219     EISSN: None     Source Type: Journal    
DOI: 10.1515/jiip.1996.4.4.331     Document Type: Article

References (10)

1. V.V. Vasin, Iterative regularization of monotone operator equations of the first kind in partially ordered B-spaces. Dokl. Akad. Nauk. SSSR (1995) 34, No. 2, 151–154 (in Russian).
2. V.V. Vasin, I. L. Prutkin and L. YU. Temirhanova, On reconstruction of three-dimensional relief of geological boundary using gravimetrical data. Fizika Zemli (to be published).
3. B.Z. Vulich, Introduction to the Theory of Semi-Ordered Spaces. Phys. Math. Cos. Izd., Moscow, 1961 (in Russian).
4. M. A. Krasnoselskii, Positive Solutions of Operator Equations. Phys. Math. Edit., Moscow, 1962 (in Russian).
5. V.C.L. Hutson and J.S. Pym, Applications of Functional Analysis and Operator Theory. Acad. Press, London, 1980.
6. A.N. Baluev, To abstract theory of Chaplygin method. Dokl. Akad. Nauk. SSSR (1952) 83, No. 6, 781–784 (in Russian).
7. A. Bakushinskii and A. Goncharskii. Ill-Posed Problems: Theory and Applications. Kluver Acad., Publishers, Dordrecht, 1994.
8. V.V. Vasin and A.L. Ageev, Ill-Posed Problems with A Priori Information. VSP, Utrecht, The Netherlands, 1995.
9. H.B. Brunner and P. J. van der Houwen, The Numerical Solution of Volterra Equations. Amsterdam, North-Holland, 1986.
10. A.B. Smirnova, Iterative Methods for Solving Nonlinear Operator Equations of the First Kind and Applications. Kandid. dissert., Ural. Univ., Ekaterinburg, 1995 (in Russian).