Discrete spectra criteria for certain classes of singular diffferential and difference operators

• Autoři: HILSCHER Roman
• Rok publikování: 2001
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Computers & mathematics with applications
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• Citace: HILSCHER, Roman. Discrete spectra criteria for certain classes of singular diffferential and difference operators. Computers & mathematics with applications. New York: Pergamon Press, 2001, roč. 42, 3-5, s. 465-476. ISSN 0097-4943.
• Obor: Obecná matematika
• Klíčová slova: oscillation; property BD; quadratic functional; disconjugacy; Sturm-Liouville equation
• Popis: 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/w_k \Deltaⁿ (r_k \Deltaⁿ y_k) , 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.

Související projekty

• Diferenční rovnice a jejich aplikace
• Kvalitativní teorie diferenciálních rovnic