... gm(ζ))ba+degz,∞arm{ba+degz,∞arm1m2qk−p(r)mρm}m1m2qk−p(r)Mr[gm](ζ).(3.11) 113. Proof ofthe resultsProof of Theorem 1.4 Suppose that the conclusion of theorem is not true, thenthere exists an entire solution w(z) satisfies the equation [Q(w(z))]n= P [w]. ... Yuan, WJ: Further results of Goldb erg’s theorem concerning the growthof meromorphic solutions of algebraic differential equations. Acta Math. Sci. This Provisional PDF corresponds to the article ... appeared upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Further results ofthe estimate ofgrowthof entire solutions of some classes of algebraic...
... function or ∞ (see[1]). 113. Proof ofthe resultsProof of Theorem 1.4 Suppose that the conclusion of theorem is not true, thenthere exists an entire solution w(z) satisfies the equation [Q(w(z))]n= ... (HTML) versions will be made available soon.Further results ofthe estimate ofgrowthof entire solutions of some classes of algebraic differential equationsAdvances in Difference Equations 2012, ... λ(w2).If w2is a rational function, then w1must be a rational function, so that the conclusion of Theorem 2 is right. If w2is a transcendental meromorphic function,by the systems of algebraic differential...
... side ofthe plane of projection any or all ofthe branches are situated. We know the real shape of each branch, but we do not know whether it lies onthe hither or onthe farther side of the plane ... observations of the star, one with reversed position ofthe telescope, and take the mean ofthe readings of the horizontal circle. I t must be remembered that the reading ofthe compass needle, when the ... change as to the form and disposition ofthe details. In the secondplace, the disposition of color onthe surface ofthe planet has entirely changed, also. In 1889there is very little ofthe red...
... stipulation onthe subject. That the exclusion of ChineseA Compilation ofthe Messages and Papers ofthe Presidents 68 Thursday, the 3d of September, being the anniversary ofthe signing ofthe ... the date ofthe exchange of ratifications ofthe same the provisions of Article VIII ofthe convention of July 29, 1882, between the United States and Mexico, inregard to the resurvey ofthe boundary ... instant from the Secretary ofthe Interior, inclosing a report from the Commissioner of Indian Affairs upon the subject ofthe condition ofthe Northern Cheyenne Indians upon the Rosebud and Tongue...
... co-intensionality alone; in most cases co-intensionality is too strong a condition for substitution. Rather, the background assumptions of the discourse determine whether a substitution of one descriptor ... lady. The assumption is that since the filler ofthe role Queen of England is not likely to change within the time ofthe conversation and the speaker, the hearer, and Nadia are all aware of ... the intensionality of the descrip- tor, the time of reference of the descriptor, and the agents of the descriptor. We must establish the "level" of each factor in the target...
... section ofthe JTM is espe-cially interested in the publication of discoveries in fourareas:1) Clinical models that allow the characterization of the molecular profile of non-cancer cells in the ... announce the new section ofthe Journal of Translational Medicinedevoted to promoting the field of Cancer Microenviron-ment.A new forum on diagnostic and therapeutic implications of molecular ... exchange of opinions. The Cancer Microenviron-ment section of JTM is a potent tool to most efficientlyachieve these tasks. Thus, this section ofthe JTM pro-vides a venue for publication of original...
... problems. The child and its familyshould be the focus ofthe professional. Also, profession-als should be made aware ofthe consequences of care forparents during their training. Furthermore, they ... (2) contains the direct effects ofthe back-ground characteristics on HRQoL, and the third part (3)contains the effects ofthe mediating factors on HRQoL. The total effect of a variable on HRQoL ... and asking their participation.Parents decided themselves whether the mother or the father completed the questionnaire. The letter was accom-panied by the questionnaire, an informed consent formand...
... signifi-cant reduction ofthe quality of life, in both PCS-12 andMCS-12. Table 2 shows the distribution ofthe meanscores of both parameters based onthe use of oxygen ther-apy and the variables ... volume of sputum or any combination of thesesymptoms, of acute onset, and requiring a change in the regular medication ofthe patient [18]. The study was approved by the Ethics Committee of the Foundation ... to the reference population, a reduction of PCS-12, even in the initial stages, though they only showa reduction in MCS-12 in the most advanced phases of the disease. The determinant factors of...
... part of a risk group. In addition, the combination of these two LEs seems to be usual. Infact,notonlytheLCUssumscoredeterminetheeffect,it’s the undesirab ility of thes e LEs what makes respon-dents ... than the general EUpopulation. The Spanish version ofthe questionnairehas demonstrated acceptable validity and reliability[33,34]. In this study, only responses from adolescentsand youths on ... Paren-tal level of education was collected from the adultrespondent and included the highest family level of edu-cation according to the International Standard Classifi-cation of Education (ISCED)....
... impact of stroke onthe mobi-lity component ofthe Health Utility Index (HUI), butnot the emotional well being component ofthe HUI.Sincewerevealedapositiverelationship between PAand the Physical ... to the fact that our subjectswere not phys ically active and therefore their self reportwas relatively accurate. In addition it is possible thatone’sHRQLisbasedmainlyonone’ s perception of the activities ... example),and yet the relationship of this variable to HRQL inindividuals with stroke is unknown. Thus, the aims of our study were 1) to determine the contribution of dailyPA to the HRQL of individuals...
... par-ticular for the psychosocial aspects ofthe HRQOL,while the aspects ofthe physician-patient relationshipare important for all domains ofthe HRQOL. The con-firmation ofthe significance of anger ... of the PICS) does not appear to be relevant.Discussion The two hypotheses presented in the introduction wereconfi rmed, at least for some ofthe sub -dimensions. The relevance ofthe personality ... acorrelation to the quality ofthe physician-patient rela-tionship. However, w e are not aware of any study thathas examined both the influence of these personalityvariables and the influence of the...
... takenfrom the circled area in the ZnO nanorod, and the incidenceangle of high electrons was adopted along the cross-section of the nanorod, it can be concluded that the nanorod growsexactly along the ... the same epitaxial relationship as the seed layer. At the sametime, the lateral growthof ZnO is greatly limited while the growth along [0001] direction dominates the whole growth process considering ... growing on them varies to a great degree.Therefore, the orientation and the diameter ofthe nanorodsare highly dependent onthe crystal quality ofthe under-lying ZnO seed layer. The optical...
... (1.5). The proofs rely onthe a priori bounds on solutions of Section 2 and the nonlinear alternative. The following theorem gives the existence of solutions to the Dirichlet BVP on timescales.Theorem ... = 0.Then(1.13) has a unique solution satisfying the boundary conditions(1.2).Proof. Since (1.13) is linear, the difference of two solutions to the BVP (1.13), (1.2)isalsoa solution ofthe BVPy∆∆(t) ... paperwere the works [1, 2, 3, 4, 8, 9, 10].2. A priori bounds on solutionsIn order to apply Theorem 1.8, a priori bounds on solutions to the BVPs are needed.In this section conditions on f and on the...
... +1.(1.18)Now the proof follows as the proof of [7, Theorem 1.4.8]. The next two theorems give precise information about the asymptotics of linear non-autonomous difference equations. Consider the scalar ... Regions for the asymptotic behavior of solutions of (1.4).5. Rateof convergence of (1.1)Consider (1.1) where the parameters α, β, γ, A, B,andC are nonnegative real numbersand the initial conditions ... determine the rateof convergence of all solutions in this region by using Poincar´e’s theorem and animprovement of Perron’s theorem.We wil l show that the asymptotics of solutions that converge...