Geodesic
Conditional correctness of boundary-value problem for composite fourth-order differential equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2015), pp. 65-74 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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K. S. Fayazov; I. O. Khazhiev. Conditional correctness of boundary-value problem for composite fourth-order differential equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2015), pp. 65-74. http://geodesic.mathdoc.fr/item/IVM_2015_4_a7/

[1] Pulkin I. S., “Gevrey problem for parabolic equations with changing time direction”, Electronic J. Diff. Equat., 2006 (2006), No. 50, 9 pp. | MR

[2] Kislov N. V., “Neodnorodnye kraevye zadachi dlya differentsialno-operatornykh uravnenii smeshannogo tipa i ikh prilozheniya”, Matem. sb., 125(167):1 (1984), 19–37 | MR | Zbl

[3] Lavrentev M. M., Savelev L. Ya., Lineinye operatory i nekorrektnye zadachi, Nauka, M., 1991 | MR | Zbl

[4] Fayazov K. S., “Nekorrektnaya kraevaya zadacha dlya odnogo uravneniya smeshannogo tipa vtorogo poryadka”, Uzbeksk. matem. zhurn., 1995, no. 2, 89–93 | MR

[5] Yanenko N. N., Novikov V. A., “Ob odnoi modeli zhidkosti s znakoperemennym koeffitsientom vyazkosti”, Chislennye metody mekhaniki sploshnoi sredy (Novosibirsk), 4:2 (1973), 142–147

[6] Bukhgeim A. L., Vvedenie v teoriyu obratnykh zadach, Nauka, Novosibirsk, 1988 | MR