Báo cáo hóa học: " NIELSEN NUMBER AND DIFFERENTIAL EQUATIONS" doc
Báo cáo hóa học: " NIELSEN NUMBER AND DIFFERENTIAL EQUATIONS" doc
... x0= 0andI =[0,τ],τ>0. LettingQ :=q ∈AC[0,τ], R|q(0) = 0and 2≤ q(t) ≤ δ1or −δ1≤ q(t) ≤−δ2, for a.a. t ∈[0,τ],(4.6) NIELSEN NUMBER AND DIFFERENTIAL EQUATIONSJAN ANDRESReceived ... maps ϕ0∼ ϕ1.152 Nielsen number and differential equationscompact, and so is Ᏼ ◦Tλτ: X ×[0,1] X (i.e., Ᏼ ◦Tλτ∈ K,foreveryλ ∈ [0,1]). There-fore, all the Nielsen numbers N(Ᏼ ◦Tτ) = ... (3.30)154 Nielsen number and differential equationsone can prove (see [5]or[9]) that Tτis a random operator with compact values, com-posed of a random operator with Rδ-values and the continuous...
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Báo cáo hóa học: " Copy number and gene expression differences between African American and Caucasian American prostate cancer" docx
... These were classified intosegments exhibiting copy number gain, normal copy number and copy number loss. For each tumor sample,the average and standard deviation of the segment inten-Rose et al. ... com-pared between AA patients having copy number gain ver-sus those with normal copy number, and those havingcopy number loss versus those with normal copy number. This analysis was conducted separately ... was purified and each sample separatelylabeled with cyanine-5 (Cy5) and cyanine-3 (Cy3) dCTPs.Labeled test and reference DNAs were mixed, co-precipi-tated with isopropanol, washed, and resuspended...
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Báo cáo hóa học: " NIELSEN NUMBER OF A COVERING MAP" pptx
... points x and y. This yields H -Nielsen classes and H -Nielsen number NH( f ). For the details see [4].Let us notice that each Nielsen class modH splits into the finite sum of ordinary Nielsen ... expressing the Nielsen number N( f )bythenumbersN(f )wheref runs the set of all lifts? Such a for mula seems very desirable since thedifficulty of computing the Nielsen number often depends ... getthe number of essential Nielsen classes of f in Ai=AJA/IA· number of essential Nielsen classes offiin p−1HA,(4.4)where the summation runs the set of all essential Nielsen...
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báo cáo hóa học: " Surgical smoke and ultrafine particles" docx
... (CPC, model3007, TSI Inc.) measuring number concentration of parti-cles in the diameter size range of 10 nm to 1 μm and a number concentration range between 0 and 100000 par-ticles per cm3. ... measurements and drafted the manuscript. GP and KWJ made substantial contributions to the analysis and interpretation of data. MP was responsible for thevalidity of measurement data. DN, HEW, and AP ... Science and Environment, Augsburg, Germany, 4Ludwig-Maximilians-University, Institute and Outpatient Clinic for Occupational, Social and Environmental Medicine, München, Germany and 5IBE...
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Báo cáo hóa học: " Polynomial solutions of differential equations" ppt
... that for Jacobi-type differential equations, thereare cases where the a lgebraic and geometric multiplicities are equal to 2 and caseswhere the algebraic multiplicity is 2 and the geometric multiplicity ... − k) and akh= 0 when k<h,soAnis upper trian-gular (and where each row and each column has at most N + 1 non-zero entries).Clearly, An+1is obtained from Anby adding one row and one ... comments and Professor A. W. Knapp for his comments and suggestions on the first version of this article. They also thank the King Fahd University of Petroleum and Minerals forits support and excellent...
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Báo cáo hóa học: " Approximate *-derivations and approximate quadratic " docx
... onA.Corollary 5.3 Suppose thatAis a C *-algebra and thatδ :A→Ais a m apping forwhich there exist nonnegative real numbers a, b and positive real numbers p1, p2, q1,q2with p1, p2, ... □Corollary 5.6 Suppose thatAis a C *-algebra and thatδ :A→Ais a m apping forwhich there exist a nonnegative real number a and a positive real number p with p <2such that a2δ(b) − ... obtainδ(λa + b)= λδ(a)+ δ(b)(2:8)for alla,b ∈ A and allλ∈ T. Putting a = b = 0 and replacing c and d by 2nc and 2nd,respectively, in (2.2), we get122nf (22ncd)...
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Báo cáo hóa học: " Abstract fractional integro-differential equations involving nonlocal initial conditions in a-norm" potx
... Theorem).LetEbeaBanachspaceandBbe a bounded closed and convex subset of E, and let F1, F2be maps of B into E suchthat F1x + F2y Î B for every pair x, y Î B. If F1is a contraction and F2is completelycontinuous, ... 2Î C([0, T]; [0, T]) and K Î C([0, T]; ℝ+).(H1) F, G : [0, T]×Xa× Xa® X are continuous and for each positive number k ÎN, there exist a co nstant g Î [0, b(1 - a)) and functions k(·) ... 69-75)).(a) T(t):X ® Xafor each t >0, and AaT(t)x = T(t)Aax for each x Î Xa and t ≥ 0.(b) AaT(t) isboundedonXforeveryt> 0and there exist Ma> 0and δ >0suchthat||AαT(t)||L(X)≤Mαtαe−δt.(c)...
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Báo cáo hóa học: " Nonlinear Transformation of Differential Equations into Phase Space" ppt
... left- and right-hand sides of (15)to obtainCP(D)x,P(D)x(t, ω) = Cf(t, ω), (29) and we use (24 )and( 26) to simplify toP∗Ac)Cx,P(D)x(t, ω) = Cf(t, ω). (30)Similarly, we apply (25 )and( 27)toobtain(17).3.2. ... coeffi-cients are the most venerable and studied differential equa-tions, and many ideas and methods have been de veloped toobtain exact, approximate, and numerical solutions, and toqualitatively study ... engi-neering, and also as quasidistributions in quantum mechan-ics [4, 9, 10]. A major development has been done in this area and the ideas that have developed have become standard and powerful...
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Báo cáo hóa học: " Singular fractional integro-differential inequalities and applications" potx
... Al-Jaser and Furati: Singular fractional integro -differential inequalities and applications. Journalof Inequalities and Applications 2011 2011:110.Al-Jaser and Furati Journal of Inequalities and ... 2011:110http://www.journalofinequalitiesandapplications.com/content/2011/1/110Page 18 of 18RESEARC H Open AccessSingular fractional integro -differential inequalities and applicationsAsma Al-Jaser1* and Khaled M Furati2* ... b(t)t0c(s)⎛⎝kj=0|Dβju(s)⎞⎠nds,Al-Jaser and Furati Journal of Inequalities and Applications 2011, 2011:110http://www.journalofinequalitiesandapplications.com/content/2011/1/110© 2011 Al-Jaser and Furati; licensee...
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Báo cáo hóa học: " Editorial Degenerate and Singular Differential Operators with Applications to Boundary Value Problems" ppt
... pagesdoi:10.1155/2010/521070EditorialDegenerate and Singular Differential Operatorswith Applications to Boundary Value ProblemsClaudianor Oliveira Alves1 and Vicent¸iu R˘adulescu2, 31Unidade AcadˆemicadeMatem´atica ... singularities in nonlinear PDEs, and Lane-Emden-Fowler-type equationswith convection and singular potential. We would like to thank the authors for their excellentcontributions and patience in assisting ... 2010 C. O. Alves and V. R˘adulescu. This is an open access article distributed underthe Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction...
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