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- Fu-Hsiang Wong, Sheng-Ping Wang, Cheh-Chih Yeh
- Appl. Math. Lett.
- 2008

This work deals with the existence of positive solutions of convectionâ€“diffusion equations âˆ†u+ f (x, u,âˆ‡u) = 0 in an exterior domain of Rn(n â‰¥ 3). c Â© 2007 Elsevier Ltd. All rights reserved.

The renowned Jensen inequality is established on time scales as follows: f (âˆ« b a |h(s)|g(s)âˆ†s âˆ« b a |h(s)|âˆ†s ) â‰¤ âˆ« b a |h(s)|f(g(s))âˆ†s âˆ« b a |h(s)|âˆ†s , if f , g and h satisfy some suitableâ€¦ (More)

- Fu-Hsiang Wong, Cheh-Chih Yeh, Shiueh-Ling Yu, Chen-Huang Hong
- Appl. Math. Lett.
- 2005

We establish the classical Young inequality on time scales as follows: ab â‰¤ âˆ« a 0 g (x) x + âˆ« b 0 (gâˆ’1)Ïƒ (y) y if g âˆˆ Crd ([0, c],R) is strictly increasing with c > 0 and g(0) = 0, a âˆˆ [0, c], b âˆˆâ€¦ (More)

- Fu-Hsiang Wong, Shang-Wen Lin, Wei-Cheng Lian, Shiueh-Ling Yu
- Mathematical and Computer Modelling
- 2005

- Wei-Cheng Lian, Fu-Hsiang Wong, Jen-Chieh Lo, Cheh-Chih Yeh
- IJALR
- 2011

Using Kransnoskiiâ€™s fixed point theorem, the authors obtain the existence of multiple solutions of the following boundary value problem ( ) ( ) , , ..., = 0, 0,1 1 2 BVP E u t f t u t u t t p n n Ï† âˆ’â€¦ (More)

- Fu-Hsiang Wong, Shiueh-Ling Yu, Cheh-Chih Yeh, Wei-Cheng Lian
- Appl. Math. Lett.
- 2006

The purpose of this work is to establish the timescale version of Lyapunovâ€™s inequality as follows: Let x(t) be a nontrivial solution of (r(t)x (t)) + p(t)x (t) = 0 on [a, b] satisfying x(a) = x(b) =â€¦ (More)

- Wei-Cheng Lian, Fu-Hsiang Wong
- Appl. Math. Lett.
- 2000

- Shiueh-Ling Yu, Fu-Hsiang Wong, Cheh-Chih Yeh, Shang-Wen Lin
- Computers & Mathematics with Applications
- 2007

Under some suitable assumptions, we show that the n + 2 order non-linear boundary value problems (BVP1) ï£±ï£´ï£´ï£´ï£²ï£´ï£´ï£´ï£´ï£´ï£´ï£´ï£´ï£´ï£³ (E1) [Ï†p(u (n)(t))]â€²â€² = f (t, u(t), u(1)(t), . . . , u(n+1)(t)) (BC1)â€¦ (More)

- Fu-Hsiang Wong, Wei-Cheng Lian, Cheh-Chih Yeh, Ruo-Lan Liang
- IJALR
- 2011

We establish several Hermite-Hadamardâ€™s inequalities on time scales. One of these results says as follows: Suppose that (1) f a b R : [ , ]Â® is convex; (2) p q p q , (0,1), = 1 âˆˆ + ; g C a b R rd âˆˆ +â€¦ (More)

In this note, we generalize two retarded Ouyang integral inequalities. One of these inequalities says: under suitable assumptions of functions w,Î±, h, f, g and p on [0,âˆž), if w(t) â‰¤ h(t) + 2 âˆ« Î±(t) 0â€¦ (More)