... questions of solvability of basic boundary value problemsfor quasilinear degenerate and nonuniformly elliptic and parabolic equationsofsecond order, and also to the investigation ofdifferentialand ... SCHULENBERGERLibrary of Congress Cataloging in Publication Datalvanov, A. V.Quasilinear degenerate and nonuniformly elliptic and parabolic equationsofsecond order. (Proceedings of the Steklov Institute of ... C,PART I: EQUATIONSOF NONDIVER(iENCE TYPEquestion of the validity of a priori estimates of the maximum moduli of the gradients of solutions for quasilinear elliptic and parabolic equations is the...
... N1,N2 of N with N = N1⊕N2 and Ni= Fifor i =1, 2.Proof. The proof is similar to the proof of Proposition 3.17. Let S1 and S2be the set of eigenvalues of E acting on F1 and F2respectively. ... translates into ZL=(ra,b)GL. A proof of Lemma 1.29 finishesthe 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 wehave ... 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:10.1186/1687-1847-2011-14Cite 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 timescales. Nonlinear Anal. 68, 127–138 (2008). doi:10.1016/j.na.2006.10.03616. Xu, H, Nieto, JJ: Extremal solutions of a class of nonlinear integro -differential ... University,200234, People’s Republic of ChinaAbstractIn this work we present some new results concerning the existence of solutions forfirst -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 nonlinearfractional differential equations. 2010 Sixth IEEE/ASME International Conference on Mechatronic and Embedded Systemsand...
... 5Antiderivation of Taylor Models. For a polynomial , we denote byall terms ofof orders up to (and including) and by a bound of therange of over the domain box . Then, the antiderivation of Taylor ... theconstant parts and using the antiderivation: VERIFIEDHIGH-ORDERINTEGRATIONOFDAES AND HIGHER- ORDER ODESJens HoefkensMartin BerzKyoko MakinoDepartment of Physics and Astronomy and National Superconducting ... (Berz and Makino, 1998; Makino et al.,2000).Definition 5 For a -th order Taylor model and , letThe antiderivative of is defined bySince is oforder , the definition assures that for a -th order...
... absence of Du.(C)Theratioofthe best-fitting functions andof the data points of wild-type overmutant are plotted for data in the presence (d)andabsence(m)ofDu.1988 P. Turina and B. A. Melandri ... synthase of Rhodobacter capsulatusresults in differential contributions of DpH and Du in drivingthe ATP synthesis reactionPaola Turina and B. Andrea MelandriDepartment of Biology, Laboratory of ... uncoupler- and oligomycin-sensitive and can be attributed to the ATPsynthase. 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 severaltypes of collagen andof noncollagenous components.For example, collagen fibrils in skin are composedprimarily of type I collagen with minor amounts of typeIII and type ... of biological importance, because decorin isinvolved in fibrillogenesis of type I collagen and also in thegeneration 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 coreprotein and type VI c...
... range of 5.0–8.0, while it ismore drastic at pH 4.0 and 9.0. The concentration of GdnHCl required for 50% unfolding of the proteinbetween the pH range 6.0–8.0 is higher (3.2M)thanatpH 4.0 and ... different c oncentrations of GdnHCl(3.0–5.0M)for4hat30°C a t p H 7 .0 and d iluted 1 0 t imeswith 100 mMbuffer of pH 7.0. After 30 min, the fluores-cence spectra and activity of the original (treated ... concentrations of GdnHCl (1.0–6.0M)in100 mMbuffer of pH 7 .0 at a ow rate of 0.5 mLặmin)1.Elution was monitored by absorbance at 280 nm. Thestandard 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 eachprotein of each ... bisphosphatase and catalase, whereasliver enolase and carbonic anhydrase 3 were downregu-lated. Comparable amounts of b-actin were present inAgxtKO and wild-type cytosolic fractions, and theabsence 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 differentiallyexpressed...
... total number of moles in the binary systemnL= number of moles of liquidnv= number of moles of vaporz = mole fraction of the more volatile component in the systemx = mole fraction of the more ... compositions of the vapor and liquid that coexist in the two-phase region are given by wv and wL, and they represent the weight percentages of the lessvolatile component in the vapor and liquid, ... property.Riazi and Daubert stated that θ1 and θ2can be any two parameters capable of charac-terizing the molecular forces and molecular size of a compound. They identified (Tb, γ) and (M, γ)...