International Mathematics Competition
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2020

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IMC 2020
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IMC2020: Day 1, Problem 5

Problem 5. Find all twice continuously differentiable functions \(\displaystyle f:\mathbb{R}\to(0,+\infty)\) satisfying

\(\displaystyle f''(x)f(x)\geq {2(f'(x))^2} \)

for all \(\displaystyle x\in\mathbb{R}\).

Karen Keryan, Yerevan State University & American University of Armenia, Yerevan

        

IMC
2020

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