Vol.3, No 14, 2003 pp. 861-864
UDC 517.93
Invited Paper

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AN INVERSE PROBLEM FOR A FIRST ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATION
Julka Knežević-Miljanović
Faculty of Mathematics University of Belgrade
Studentski trg 16, 11000 Beograd

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Abstract. We prove an existence and uniqueness theorem concerning the identification of a nonlinear term in an boundary value problem related to a (nonlinear) first-order ordinary differential equation containing a parameter ?.. We show that the successive iteration method allows to approximate the unknown nonlinear terms.
Key words:  Existence and uniqueness results. First-order nonlinear ordinary
differential equations, Boundary value problems containing parameters.

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JEDAN INVERZNI PROBLEM ZA OBIČNU NELINEARNU DIFERENCIJALNU JEDNAČINU PRVOG REDA Mi dokazujemo teoremu o postojanju i jedinstvenosti koja se odnosi na identifikaciju nelinearnog člana u jednom problemu graničnih vrednosti za jednu nelinearnu prvog reda diferencijalnu jednačinu koja sadrži parametar ?. Pokazujemo da metoda sukcesivnih iteracija vodi do aproksimacije nepoznatih nelinearnih članova.