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Oscillation theorems for nonlinear second-order difference equations. (English) Zbl 0455.39004


MSC:

39A12 Discrete version of topics in analysis
39A10 Additive difference equations
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References:

[1] Bykov, Ya.V; S̆evcov, E.I, Sufficient conditions for oscillation of solutions of nonlinear finite difference equations (in Russian), Differencial’nye uravnenija, 9, 2241-2244, (1973)
[2] Bykov, Ya.V; Z̆ivogladova, L.V, On the oscillation of solutions of nonlinear finite difference equations (in Russian), Differencial’nye uravnenija, 9, 2080-2081, (1973)
[3] Bykov, Ya.V; Z̆ivogladova, L.V; S̆evcov, E.I, Sufficient conditions for oscillation of solutions of nonlinear finite difference equations (in Russian), Differencial’nye uravnenija, 9, 1523-1524, (1973)
[4] Hinton, D; Lewis, R, Spectral analysis of second order difference equations, J. math. anal. appl., 63, 421-438, (1978) · Zbl 0392.39001
[5] Kartsatos, A.G, Some theorems on oscillations of certain nonlinear second-order ordinary differential equations, Arch. math. (basel), 18, 425-429, (1967) · Zbl 0153.12403
[6] Kartsatos, A.G, Properties of bounded solutions of nonlinear equations of second order, (), 1057-1059 · Zbl 0185.16603
[7] Patula, W.T, Growth and oscillation properties of second order linear difference equations, SIAM J. math. anal., 10, 55-61, (1979) · Zbl 0397.39001
[8] Staikos, V.A; Petsoulas, A.G, Some oscillation criteria for second order nonlinear delay—differential equations, J. math. anal. appl., 30, 695-701, (1970) · Zbl 0193.06303
[9] {\scB. Szmanda}, Oscillation criteria for second order nonlinear difference equations, Ann. Polon. Math., in press. · Zbl 0597.39001
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