Sib. Èlektron. Mat. Izv., 2019, Volume 16, Pages 1005–1027
Real, complex and functional analysis
A boundary value problem for the Sturm–Liouville equation with piecewise entire potential on the curve and solution discontinuity conditions
A. A. Golubkov
Advanced Educational and Scientific Center, M.V. Lomonosov Moscow State University, 11, Kremenchugskaya str., Moscow, 121357, Russia
For large values of the spectral parameter module, the asymptotics of solutions of the standard Sturm–Liouville equation with a piecewise-entire potential along an lying in the complex plane arbitrary shape curve with a finite number of points in which the solutions and (or) their derivatives undergo discontinuities independent of the spectral parameter is obtained. The eigenvalue problem is investigated for the case of decaying boundary conditions.
equation along the curve, decision gap conditions, piecewise-entire potential, asymptotics of solutions, asymptotics of the spectrum.
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MSC: 34B24, 34L20, 34M45
Received April 4, 2019, published August 6, 2019
A. A. Golubkov, “A boundary value problem for the Sturm–Liouville equation with piecewise entire potential on the curve and solution discontinuity conditions”, Sib. Èlektron. Mat. Izv., 16 (2019), 1005–1027
Citation in format AMSBIB
\paper A boundary value problem for the Sturm--Liouville equation with piecewise entire potential on the curve and solution discontinuity conditions
\jour Sib. \`Elektron. Mat. Izv.
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