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
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
