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New Kamenev-type oscillation criteria for second-order differential equations on a measure chain. (English) Zbl 1085.39014
Summary: We establish new Kamenev-type criteria [cf. I. V. Kamenev, Mat. Zametki 23, 249–251 (1978; Zbl 0386.34032)] for oscillation of the second-order linear differential equation, (p(t)x Δ (t)) Δ +q(t)x(s(t))=0, on a measure chain. Our results are extensions of those for differential equations and provide new oscillation criteria for difference equations. Several examples are given to show the significance of the results.
39A12Discrete version of topics in analysis
34B05Linear boundary value problems for ODE
39A11Stability of difference equations (MSC2000)