BA'ZI BIR XUSUSIY INTEGRAL OPERATORLARNING XOS QIYMATLARI VA XOS FUNKSIYALARINI TOPISH HAQIDA
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Аннотация:
Mazkur maqolada integral operatorlar nazariyasining muhim masalalaridan biri — xos qiymatlar va xos funksiyalarni aniqlash muammosi ko‘rib chiqiladi. Xususan, Fredgolm va Volterra tipidagi ayrim xususiy integral operatorlar uchun xos qiymatlar spektri va ularga mos xos funksiyalarni topish usullari bayon etiladi. Natijalar funksional analiz va matematik fizika masalalarida qo‘llanishi bilan ahamiyatlidir.
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Библиографические ссылки:
Kreyszig E. Introductory Functional Analysis with Applications. — New York: John Wiley & Sons, 1978.
Kantorovich L.V., Akilov G.P. Functional Analysis. — Oxford: Pergamon Press, 1982.
Tricomi F.G. Integral Equations. — New York: Dover Publications, 1985.
Kolmogorov A.N., Fomin S.V. Elements of the Theory of Functions and Functional Analysis. — Moscow: Nauka, 1976.
Gohberg I., Goldberg S., Kaashoek M.A. Basic Classes of Linear Operators. — Basel: Birkhäuser, 2003.
Kress R. Linear Integral Equations. — New York: Springer, 2014.
Atkinson K.E. The Numerical Solution of Integral Equations of the Second Kind. — Cambridge: Cambridge University Press, 1997.
Zemyan S.M. The Classical Theory of Integral Equations. — Boston: Birkhäuser, 2012.
Muskhelishvili N.I. Singular Integral Equations. — Moscow: Nauka, 1968.
Polyanin A.D., Manzhirov A.V. Handbook of Integral Equations. — Boca Raton: CRC Press, 2008.
Riesz F., Sz.-Nagy B. Functional Analysis. — New York: Dover Publications, 1990.
Debnath L., Bhatta D. Integral Transforms and Their Applications. — Boca Raton: CRC Press, 2014.