On Differential Inequalities
On Differential Inequalities
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DOI:
10.11429/ptmps1907.9.15_268
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发表时间:
1918-04
期刊:
影响因子:
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通讯作者:
S. Kakeya
中科院分区:
文献类型:
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作者:
S. Kakeya
1. Introduction. Consider a function f : a; b] R ! R and diierentiable functions u; v : a; b] ! R. It is well known 17], p.65 that u 0 (t) ? f(t; u(t)) < v 0 (t) ? f(t; v(t)) (t 2 a; b]); u(a) < v(a) imply u(t) < v(t) (t 2 a; b]). What about instead of < everywhere? For