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On some analogs of Sturm’s and Kneser’s theorems for nonlinear systems. (English) Zbl 0327.34027


MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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[1] Bellman, R., Stability Theory of Differential Equations (1954), Izd. Inostr. Lit: Izd. Inostr. Lit Moscow, (in Russian) · Zbl 0056.36501
[2] Walter, W., Differential and Integral Inequalities (1970), Springer-Verlag: Springer-Verlag Berlin, Heidelberg, New York
[3] Izjumova, D. V., On the conditions of the oscillation and non-oscillation of solutions of a nonlinear second order differential equation, Differencial’nye Uravnenija, 2, 12, 1572-1586 (1966), (in Russian)
[4] Mirzov, J. D., A remark on the oscillations of solutions of the system of ordinary differential equations, Soobšč. Akad. Nauk Gruzin. SSR, 61, 2, 277-279 (1971), (in Russian) · Zbl 0216.11402
[5] Mirzov, J. D., On the oscillations of solutions of the system of nonlinear differential equations, Differencial’nye Uravnenija, 9, 3, 581-583 (1973), (in Russian)
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