Absence of eigenvalues for integro-differential operators

• Autorzy: Cojuhari P. A. , Stanescu M.M.
• Języki publikacji: EN

Abstrakty

EN

Sufficient conditions for the absence of eigenvalues of integro-differential operators are presented.

Słowa kluczowe

EN

spectral theory; non-selfadjoint operators; relatively bounded perturbations; differential operators; integro-differential operators

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2003
• Tom: Vol. 23
• Strony: 5--14
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Cojuhari P. A.

• Department of Applied Mathematics, AGH University of Science and Technology, Cracow, Poland

autor

Stanescu M.M.

• Faculty of Mechanics, University of Craiova 13, Al. I. Cuza Street, 1100 Craiova, Romania

Bibliografia

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• [3] Bohm D., Gross E. P.: Theory of plasma oscillations, A. Origin of medium like behavior. Phys. Rev., vol. 75, 1949, p. 1185
• [4] Case K.M.: Plasma oscilations. Ann. Phys., vol. 7, 1959, p. 349
• [5] Case K. M., Zweifel P. F.: Linear transport theory. Addison-Wesley, Publ. Comp., 1967
• [6] Catchpole E.A.: An integro-differential operator. J. London Math. Soc, vol. 6, No. 3, 1973, p. 513-523
• [7] Chandrasekhar S.: Radiative transfer. New York, 1960
• [8] Cheremshantsev S.E.: Spectral analysis of non-self adjoint differential operators arising in the one-dimensional scattering problem of the Brown particles. Mat. Sb., 129 (171), 1986, p. 358-377 (Russian)
• [9] Cojuhari P. A.: On the spectrum of singular non-selfadjoint differential operators, Operator Theory: Advances and Applications, vol. 61, Birkhauser, Verlag Basel, 1993, p. 47-64
• [10] Cojuhari P. A.: On the discrete spectrum of a perturbed Wiener-Hopf integral operator. Mat. Zametki, vol. 51, No. 1, p. 102-113 (Russian)
• [11] Cojuhari P. A.: Non-existence of the eigenvalues of pertubed discrete Wiener-Hopf operators. Izv. Acad. Nauk, RM, Mat., 2, 1990, p. 15-21 (Russian)
• [12] Cojuhari P. A., Stanescu M.: On the spectrum of some integro-differential operators. Bui. Acad. de St. a R. M., Mat., No. 3 (25), 1997, p. 23-26
• [13] B. Davison: Neutron Transport Theory. Oxford, 1960
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• [15] van Kampen N. G.: The theory of stationary waves in a plasma. Phys., 21, 1955, 949
• [16] Lehner J., Wing G.M.: Solution of liniarized Boltzmann transport equation for slab geometry. Duke. J. vol. 23, 1956, p. 125
• [17] Naimark M. A.: Linear Differential Operators. Nauka, M., 1969 (Russian)