Title of article
Solvability and Spectral Properties of Boundary Value Problems for Equations of Even Order
Author/Authors
Amanov, Dj. Institute of Mathematics and Informational Technologies of Academy Sciences of Uzbekistan, Uzbekistan , Amanov, Dj. National University of Uzbekistan, Uzbekistan , Yuldasheva, A.V. Institute of Mathematics and Informational Technologies of Academy Sciences of Uzbekistan, Uzbekistan , Yuldasheva, A.V. National University of Uzbekistan, Uzbekistan
From page
227
To page
248
Abstract
We study boundary value problems for an equation of the order 2k and prove regular and strong solvability of it, investigate spectrum of the problem. In case of even k we obtain a priori estimate for the solution in the norm of the Sobolev space and prove solvability almost everywhere.
Keywords
solvability , boundary value problem , spectrum , a priori estimate , regular solvability , strong solvability , the Fourier series , the Cauchy , Schwarz inequality , the Bessel inequality , the Perceval equality , the Lipchitz condition , even , odd , almost everywhere solution.
Journal title
Malaysian Journal of Mathematical Sciences
Journal title
Malaysian Journal of Mathematical Sciences
Record number
2571387
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