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Solvability and Spectral Properties of Boundary Value Problems for Equations of Even Order
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نویسنده
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Amanov Dj. ,Yuldasheva A.V.
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منبع
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malaysian journal of mathematical sciences - 2009 - دوره : 3 - شماره : 2 - صفحه:227 -248
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چکیده
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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.
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کلیدواژه
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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.
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آدرس
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Institute of Mathematics and Informational Technologies of Academy Sciences of Uzbekistan, Uzbekistan. National University of Uzbekistan, Uzbekistan, Institute of Mathematics and Informational Technologies of Academy Sciences of Uzbekistan, Uzbekistan. National University of Uzbekistan, Uzbekistan
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پست الکترونیکی
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asal-yuldasheva@mail.ru.
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Authors
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