N. N. Shadrina, “On the influence of parameters on the solvability of some conjugate problems for elliptical equations”, Sib. Èlektron. Mat. Izv., 2016, Volume 13,Pages <nobr>411

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Differentical equations, dynamical systems and optimal control

On the influence of parameters on the solvability of some conjugate problems for elliptical equations

N. N. Shadrina

Buryat state University, st. Smolina, 24а, 670000, Ulan-Ude, Russia

Abstract: The solvability of boundary value problems in composite area with the definition of the special conditions of conjugation (gluing) at the interface is studied for elliptic equations with spectral parameter.

Keywords: elliptic equations with spectral parameter, conjugate problems, regular solutions, uniqueness and non-uniqueness, existence and nonexistence.

UDC: 519.632.8

MSC: 35J05,35P05

Received February 25, 2016, published May 22, 2016

DOI: 10.17377/semi.2016.13.036