On existence of solutions to nonlinear equations with degenerate mappings

• Autorzy: Prusińska A. , Tret'yakov A.
• Języki publikacji: EN

Abstrakty

EN

The paper presents recent advances in p-regularity theory. The main result of this theory gives a detailed description of the structure of the zero set of an irregular nonlinear mapping. We illustrate the theory with an application to the problem of existence of the solutions to the nonlinear equations with singular mappings.

Słowa kluczowe

EN

singular mappings; fixed point; nonlinear equation

PL

odwzorowania osobliwe; punkt stały odwzorowania; równania nieliniowe

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2006
• Tom: Vol. 28
• Strony: 101--111
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Prusińska A.

autor

Tret'yakov A.

• University of Podlasie Institute of Mathematics and Physics ul. 3-go Maja 54, 08-110 Siedlce, Poland,

Bibliografia

• [1] V. M. Alexeev, V. M. Tihomirov, S. V. Fomin, Optimal Control, Consultants Bureau, New York, 1987.
• [2] B. P. Demidovitch, I.A. Maron, Computational Matliematics, Nauka, Moscow 1973.
• [3] A.F. Izmailov, A.A. Tret'yakov, Factor-Analysis of Non-Linear Mapping, Nauka, Moscow, Fizmatlit Publishing Company, 1994.
• [4] L.V. Kantorovitch, G.P. Akilov, Functional Analysis, Pergamon Press, Oxford, 1982.
• [5] K. Maurin, Analysis, Part I, Elaments, PWN, Warsow, 1971. (in Polish).
• [6] A. A. Tret'yakov, Necessary Conditions for Optimality of p-th Order, Control and Optimization, Moscow MSU, 1983, 28-35 (in Russian).