Let p, q, T be positive real numbers, B = {x ∈ R : ∥x∥ < 1}, ∂B = {x ∈ R : ∥x∥ = 1}, x∗ ∈ B, △ be the Laplace operator in R. In this paper, the following the initial boundary value problem with localized reaction term is studied: ut(x, t) = ∆u(x, t) + 1 (1− u(x, t))p + 1 (1− u(x∗, t))q , (x, t) ∈ B × (0, T ), u(x, t) = 0, (x, t) ∈ ∂B × (0, T ), u(x, 0) = u0(x), x ∈ B, where u0 ≥ 0. The existenc...

We consider the problem of maximal regularity for semilinear non-autonomous fractional equations $$\begin{aligned} B^\alpha u(t)+A(t)u(t)=F(t,u),\, t \text {-a.e}. \end{aligned}$$ Here $$B^\alpha $$ denotes Riemann–Liouville derivative order $$\alpha \in (0,1)$$ w.r.t. time and time- dependent operators A(t) are associated with (time dependent) sesquilinear forms on a Hilbert space $${\mathcal ...

and Applied Analysis 3 If b > h, from the second equation of model (6), one has: . v ≤ v (b − h − hmv) . (9) A standard comparison argument shows that lim sup t→∞ v (t) ≤ b − h hm ≜ α. (10) If b ≤ h, we have the following differential inequality: . v ≤ −hmv2 mv + 1 , (11) and the same argument above yields lim sup t→∞ v (t) ≤ 0. (12) In either case, the second inequality of (7) holds. 2.2. Boun...

and Applied Analysis 3 ii If γ n − 1 and f ∈ ACn−1 a, b ,R , then CaD t f t and t Dn−1 b f t are represented by C aD n−1 t f t f n−1 t , t D n−1 b f t −1 n−1 f n−1 t , t ∈ a, b . 2.3 With these definitions, we have the rule for fractional integration by parts, and the composition of the Riemann-Liouville fractional integration operator with the Caputo fractional differentiation operator, which ...

M?c tiêu c?a nghiên c?u này nh?m xác ??nh các nhóm gen chính có m?c ?? bi?u hi?n khác bi?t (DEG) t?i m?u r? trong ?i?u ki?n stress h?n và m?n ? cây ??u gà (Cicer arietinum). B?ng cách khai thác b? d? li?u microarray liên quan ??n gà, t?ng c?ng 41 DEG (|fold-change| ? 15), bao g?m 15 t?ng c??ng m?nh (fold-change 15) 26 kìm hãm ? -15) ?ã ???c sàng l?c gà. D?a trên h? tham chi?u ph?n l?n chú gi?i ...

U m die B e o b a c h t u n g e n d e r s p e z i f i s c h e n V i s k o s i t ä t 7]sp v e r d ü n n t e r L ö s u n g e n s innv o l l e r a l s b i s h e r d e u t e n z u k ö n n e n , w i r d e i n e m o l e k u l a r e T h e o r i e d e r i n n e r e n R e i b u n g v o n L ö s u n g e n e n t w i c k e l t . 7]sp w i r d d u r c h d ie W e c h s e l w i r k u n g s v i s k o s i t ä t t...

a . t r u e . b . F a l s e . P e o p l e w i t h i m p a i r m e n t s d o n o t l i k e t o b e p i t i e d . I t i s b e t t e r t o t r e a t t h e m w i t h t h e s a m e r e s p e c t a n d d i g n i t y y o u w o u l d s h o w t o p e o p l e w i t h o u t i m p a i r m e n t s . c . F a l s e . I m p a i r m e n t s r e f e r t o t h e p h y s i c a...

D i e p h o t o g r a p h i s c h e W i r k u n g d e r R ö n t g e n s t r a h l e n w u r d e a n z w e i h o c h e m p f i n d l i c h e n E m u l s i o n e n i m W e l l e n l ä n g e n b e r e i c h v o n 1 , 3 A E b i s 0 , 0 1 A E u n t e r s u c h t . D i e Z a h l d e r v o n e i n e m a b s o r b i e r t e n Q u a n t e n t w i c k e l b a r g e m a c h t e n B r o m s i l b e r k ö r...

Reaction of readily available 2-formyl -1-methyl-5-nitroimidazole (1) with 4-substituted-2-hydrazinothiazoles (2) afforded 2-formyl-l-methyl-5- nitroimidazole 4-substituted -2- thiazolylhydrazones (3). Reaction of thiochromitn-4-one (4) with thiosemicarbazide gave thiochroman-4- one thiosemicarbazone (5). Reaction of compound 5 with clc- haloaldehyde or ketones y ielded thiochroman--#-one ...

Abs t r ac t : A new o b j e c t e x t r a c t i o n nlgor thm i s sugges t ed ill t h i s paper , which i s basrd on the f e a t u r r d i f f e r e n c e between the o b j e c t s u r f a c e and the t r x t u r e hatkground; In e s sence . t he a lgo r i th l a i s the e x t e n s i o n of t hose a l g o r i t h m s which e x t r a c t o b j e c t s by ana lyz ing the gray d i s t r i b u t ...