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A Necessary and Sufficient Condition for Minimizing a Convex Fréchet Differentiable Function on a Certain Hyperplane

✍ Scribed by Han-Lin Li; Yi-Hsin Liu; Valentin Matache; Po-Lung Yu


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
68 KB
Volume
253
Category
Article
ISSN
0022-247X

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✍ K. Gopalsamy; Lizhi Wen; Yong-Shao Chen; Xue-Zhong He 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 416 KB

## Abstract Necessary and sufficient conditions for a fourth order functional differential equation of the form (1) [r(t)y″(t)]″+f(t,y(h~1~(t)), y(h~2~(t)), …, y(h~n~(t)))=0 to be oscillatory are given when f is strongly superlinear or strongly sublinear.