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@article{488383, author = {Hilscher, Roman}, article_location = {New York}, article_number = {3-5}, keywords = {oscillation; property BD; quadratic functional; disconjugacy; Sturm-Liouville equation}, language = {eng}, issn = {0097-4943}, journal = {Computers & mathematics with applications}, title = {Discrete spectra criteria for certain classes of singular diffferential and difference operators}, volume = {42}, year = {2001} }
TY - JOUR ID - 488383 AU - Hilscher, Roman PY - 2001 TI - Discrete spectra criteria for certain classes of singular diffferential and difference operators JF - Computers & mathematics with applications VL - 42 IS - 3-5 SP - 465-476 EP - 465-476 PB - Pergamon Press SN - 00974943 KW - oscillation KW - property BD KW - quadratic functional KW - disconjugacy KW - Sturm-Liouville equation N2 - In this paper we consider singular differential and difference operators of the form m(y) = (-1)n/w(t) (r(t)y(n))(n) and b(y)k+n = (-1)n/wk \Deltan (rk \Deltan yk) , as well as their full-term analogies. We establish criteria for discreteness and boudnedness bellow of their spectrum -- property BD. Difference operators are studied as the discrete counterparts of the continuous ones. ER -
HILSCHER, Roman. Discrete spectra criteria for certain classes of singular diffferential and difference operators. \textit{Computers \&{} mathematics with applications}. New York: Pergamon Press, 2001, roč.~42, 3-5, s.~465-476. ISSN~0097-4943.
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