... questions of solvability of basic boundary value problems
for quasilinear degenerate and nonuniformly elliptic and parabolic equationsofsecond order, and
also to the investigation ofdifferentialand ... SCHULENBERGER
Library of Congress Cataloging in Publication Data
lvanov, A. V.
Quasilinear degenerate and nonuniformly elliptic and parabolic equationsofsecond order.
(Proceedings of the Steklov Institute of ... C,
PART I: EQUATIONSOF NONDIVER(iENCE TYPE
question of the validity of a priori estimates of the maximum moduli of the gradients
of solutions for quasilinear elliptic and parabolic equations is the...
... N
1
,N
2
of N with N = N
1
⊕N
2
and N
i
= F
i
for i =1, 2.
Proof. The proof is similar to the proof of Proposition 3.17. Let S
1
and S
2
be the set of eigenvalues of E acting on F
1
and F
2
respectively. ... translates into Z
L
=(r
a,b
)G
L
. A proof of Lemma 1.29 finishes
the proof of the theorem. ✷
Proof of lemma 1.29.
The proof is rather similar to the one of lemma 1.23. The only thing that we
have ... theory of
torsors, of this weaker statement).
Let K be the Picard-Vessiot extension of a scalar differential equation L(y)=0
of order n over k.LetG be the differential Galois group of the equation and...
... (1978)
doi:10.1186/1687-1847-2011-14
Cite this article as: Xing and Fu: Some new results for BVPs of first -order nonlinear integro -differential equations
of volterra type. Advances in Difference Equations 2011 2011:14.
Submit ... integro -differential equationsof Volterra type on time
scales. Nonlinear Anal. 68, 127–138 (2008). doi:10.1016/j.na.2006.10.036
16. Xu, H, Nieto, JJ: Extremal solutions of a class of nonlinear integro -differential ... University,
200234, People’s Republic of China
Abstract
In this work we present some new results concerning the existence of solutions for
first -order nonlinear integro -differential equations with boundary...
... Trujillo JJ: Differentialequationsof fractional order: methods, results and problem. I Appl Anal 2001,
78:153-192.
6. Kilbas AA, Trujillo JJ: Differentialequationsof fractional order: methods, ... Recently, there are a large number of papers dealing with the existence of
solutions of nonlinear fractional differentialequations by the use of techniques of
nonlinear analysis (fixed point theore ... existence and uniqueness of solutions for initial value problem of nonlinear
fractional differential equations. 2010 Sixth IEEE/ASME International Conference on Mechatronic and Embedded Systems
and...
... 5
Antiderivation of Taylor Models. For a polynomial , we denote by
all terms ofof orders up to (and including) and by a bound of the
range of over the domain box . Then, the antiderivation of Taylor ... the
constant parts and using the antiderivation:
VERIFIEDHIGH-ORDERINTEGRATIONOFDAES
AND HIGHER- ORDER ODES
Jens Hoefkens
Martin Berz
Kyoko Makino
Department of Physics and Astronomy and
National Superconducting ... (Berz and Makino, 1998; Makino et al.,
2000).
Definition 5 For a -th order Taylor model and
, let
The antiderivative of is defined by
Since is oforder , the definition assures that for a -th order...
... absence of Du.(C)Theratioof
the best-fitting functions andof the data points of wild-type over
mutant are plotted for data in the presence (d)andabsence(m)ofDu.
1988 P. Turina and B. A. Melandri ... synthase of
Rhodobacter capsulatus
results in differential contributions of DpH and Du in driving
the ATP synthesis reaction
Paola Turina and B. Andrea Melandri
Department of Biology, Laboratory of ... uncoupler- and
oligomycin-sensitive and can be attributed to the ATP
synthase. This initial rate has been measured as a function of
DpH in the presence and absence of Du for both mutant and
wild-type...
... heteropolymers of several
types of collagen andof noncollagenous components.
For example, collagen fibrils in skin are composed
primarily of type I collagen with minor amounts of type
III and type ... of biological importance, because decorin is
involved in fibrillogenesis of type I collagen and also in the
generation of the microfibrillar n etwork [37].
Analysis of the secondary structure of ... d imerization of decorin and
binding of both collagens to the i nner surface of decorin. (B) Inter-
action of type I collagen with t he inner surface of the decorin core
protein and type VI c...
... range of 5.0–8.0, while it is
more drastic at pH 4.0 and 9.0. The concentration of
GdnHCl required for 50% unfolding of the protein
between the pH range 6.0–8.0 is higher (3.2
M
)thanat
pH 4.0 and ... different c oncentrations of GdnHCl
(3.0–5.0
M
)for4hat30°C a t p H 7 .0 and d iluted 1 0 t imes
with 100 m
M
buffer of pH 7.0. After 30 min, the fluores-
cence spectra and activity of the original (treated ... concentrations of GdnHCl (1.0–6.0
M
)in
100 m
M
buffer of pH 7 .0 at a ow rate of 0.5 mLặmin
)1
.
Elution was monitored by absorbance at 280 nm. The
standard molecular mass markers run in the presence of
buffer...
... peroxisomal (FP) and
cytosolic (FC) fractions. Densitometry of
western blot bands was performed and
units of selected proteins were calculated.
A representative western blot band for each
protein of each ... bisphosphatase and catalase, whereas
liver enolase and carbonic anhydrase 3 were downregu-
lated. Comparable amounts of b-actin were present in
AgxtKO and wild-type cytosolic fractions, and the
absence of ... significance
of the differences between the normalized intensity volumes
of individual spots of the control (Agxt
+ ⁄ +
) and those of
the hyperoxaluric (Agxt
) ⁄ )
) group. Only differentially
expressed...
... total number of moles in the binary system
n
L
= number of moles of liquid
n
v
= number of moles of vapor
z = mole fraction of the more volatile component in the system
x = mole fraction of the more ... compositions of the vapor and liquid that coexist in the two-
phase region are given by w
v
and w
L
, and they represent the weight percentages of the less
volatile component in the vapor and liquid, ... property.
Riazi and Daubert stated that
θ
1
and θ
2
can be any two parameters capable of charac-
terizing the molecular forces and molecular size of a compound. They identified (T
b
, γ) and
(M,
γ)...