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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2015 Number 4, Pages 65–74 (Mi ivm8992)

This article is cited in 3 papers

Conditional correctness of boundary-value problem for composite fourth-order differential equation

K. S. Fayazov, I. O. Khazhiev

Chair of Information Science and Applied Programming, National University of Uzbekistan, 1 Universitetskaya str., Vuzgorodok, Tashkent, 100174 Republic of Uzbekistan

Abstract: In this work we investigate uniqueness and conditional stability of a solution to ill-posed boundary-value problem for an equation of mixed-composite type. We give proofs of uniqueness and conditional stability of a solution on a set of correctness.

Keywords: ill-posed boundary value problem, mixed-composite type equation, conditional stability, set of correctness, a priori estimate.

UDC: 517.946

Received: 10.12.2013


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:4, 54–62

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