Asymptotic behaviour of oscillatory solutions of n-th order differential equations with quasiderivatives

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• 作者：Bartu&scaron ; ek ; Miroslav
• 刊名：Czechoslovak Mathematical Journal
• 出版年：1997
• 出版时间：1997
• 年：1997
• 卷：47
• 期：2
• 页码：245-259
• 全文大小：578 KB

文摘

Sufficient conditions are given under which the sequence of the absolute values of all local extremes of y[i], i ∈ {0,1, …, n − 2} of solutions of a differential equation with quasiderivatives y^[n] = f(t, y^[0], …, y^[n−1]) is increasing and tends to ∞. The existence of proper, oscillatory and unbounded solutions is proved.