global existence and asymptotic expansion of solutions
báo cáo hóa học:" Research Article Global Existence and Asymptotic Behavior of Solutions for Some Nonlinear Hyperbolic Equation" ppt
... damping and source terms,” Journal of Mathematical Analysis and Applications, vol 239, no 2, pp 213–226, 1999 13 Y Zhijian, Existence and asymptotic behaviour of solutions for a class of quasi-linear ... By mean of the Galerkin method and compactness criteria and a difference inequality introduced by Nakao 18 , the author 19, 20 has proved the existence and decay estimate of global solutions ... existence of the solution, that is, T ∞ Thus, the solution u t is a global solution of the problem 1.1 – 1.3 The following theorem shows the asymptotic behavior of global solutions of problem...
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báo cáo hóa học:" Global existence and asymptotic behavior of smooth solutions for a bipolar Euler-Poisson system in the quarter plane" doc
... Next, by the standard continuous arguments, we can obtain the global existence of smooth solutions That is, we combine the local existence and a priori estimate For the local existence of the solution ... together with local existence, leads to global existence of the smooth solutions for IBVP (1.2)–(1.4) by standard continuity arguments In order to obtain the asymptotic behavior and optimal decay ... about the global existence and large time behavior to (1.2) with boundary effect can be found In this article we will consider global existence and asymptotic behavior of smooth solutions to the...
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Báo cáo hóa học: " Research Article Existence and Asymptotic Stability of Solutions for Hyperbolic Differential Inclusions with a Source Term" docx
... applications of differential inclusions On the other hand, it is interesting to mention the existence and nonexistence of global solutions for nonlinear wave equations with nonlinear damping and source ... Liu and M Wang, Global existence and blow-up of solutions for some hyperbolic systems with damping and source terms,” Nonlinear Analysis, vol 64, no 1, pp 69–91, 2006 [5] S A Messaoudi, Global ... the existence of global weak solutions to problem (1.1) is proved by using the potential-well method and the Faedo-Galerkin method In Section 4, the asymptotic stability of the solutions is investigated...
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Báo cáo hóa học: " Research Article Existence and Asymptotic Stability of Solutions for Hyperbolic Differential Inclusions with a Source Term" pptx
... applications of differential inclusions On the other hand, it is interesting to mention the existence and nonexistence of global solutions for nonlinear wave equations with nonlinear damping and source ... Liu and M Wang, Global existence and blow-up of solutions for some hyperbolic systems with damping and source terms,” Nonlinear Analysis, vol 64, no 1, pp 69–91, 2006 [5] S A Messaoudi, Global ... the existence of global weak solutions to problem (1.1) is proved by using the potential-well method and the Faedo-Galerkin method In Section 4, the asymptotic stability of the solutions is investigated...
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Báo cáo hóa học: " Research Article Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities" doc
... 2 Journal of Inequalities and Applications are rare Our aim is to give the existence of positive solutions for problem (P), and give the asymptotic behavior of positive solutions near boundary ... with nonstandard p(x)growth conditions,” Journal of Mathematical Analysis and Applications, vol 312, no 1, pp 24–32, 2005 [11] Q Zhang, Existence of positive solutions for a class of p(x)-Laplacian ... Proof Denote un = positive solutions of n + an , where − n is a solution of (3.1) Since {un } is a sequence of p(x) u = u(x) = an λ uγ(x) in Ω, (II) for x ∈ ∂Ω, then every un is subsolution and...
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Báo cáo hóa học: " Research Article Global Existence, Uniqueness, and Asymptotic Behavior of Solution for p-Laplacian Type Wave Equation" ppt
... assumed solutions The proof of asymptotic behavior of solution is given in Section Journal of Inequalities and Applications Assumptions and Main Results We first give some notations and definitions ... Lp and W0 for Lp Ω and W0 Ω and relevant norms by · p and · 1,p , respectively In general, · X denotes the norm of Banach space X We also denote by ·, · and ·, · the inner product of L2 Ω and ... completes the proof of existence of solution u t To prove the uniqueness, we assume that u t and v t are two solutions which satisfy vt Setting U t ut t , V t vt t , and W t 2.5 - 2.6 and u v , ut...
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Báo cáo hóa học: " Research Article Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations" potx
... part of Lemma 2.6 only However, this is crucial in the proof of the uniqueness of strong solutions Global existence of strong solutions In this section, we prove the global existence of strong solutions ... important role in the proof of uniqueness of strong solutions Similar conditions were proposed in 16–18 when the authors studied the global existence and uniqueness of solutions of the Navier-Stokes ... can show the global existence of weak solutions without uniqueness if the compatibility conditions 1.9 , 1.10 are not valid We will prove the global existence and uniqueness of strong solutions...
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Báo cáo hóa học: " Research Article Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations Jianwen Zhang" pptx
... part of Lemma 2.6 only However, this is crucial in the proof of the uniqueness of strong solutions Global existence of strong solutions In this section, we prove the global existence of strong solutions ... important role in the proof of uniqueness of strong solutions Similar conditions were proposed in 16–18 when the authors studied the global existence and uniqueness of solutions of the Navier-Stokes ... can show the global existence of weak solutions without uniqueness if the compatibility conditions 1.9 , 1.10 are not valid We will prove the global existence and uniqueness of strong solutions...
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Báo cáo hóa học: " Research Article Global Asymptotic Stability of Solutions to Nonlinear Marine Riser Equation" ppt
... terms see, e.g 3, , where theorems on asymptotic stability of the zero solution and estimates of the zero solution and the estimates of the rate of decay of solutions to second order wave equations ... dynamics of marine risers,” Zeitschrift fur Angewandte Mathematik und ¨ Mechanik, vol 77, no 3, pp 209–215, 1997 M Nakao, “Remarks on the existence and uniqueness of global decaying solutions of the ... l It is shown that the zero solution of the problem 1.3 - 1.2 is globally asymptotically stable, that is, the zero solution is stable and all solutions of this problem are tending to zero when...
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Báo cáo sinh học: " Research Article Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations" potx
... Science Foundation of China 10971202 , and the Research Grant Council of Hong Kong SAR, China project no HKU7016/07P References S Lu and W Ge, “On the existence of periodic solutions for neutral ... the results of Theorems 3.1 and 3.2 still hold Next, we study the Lyapunov stability of the periodic solutions of 3.32 Theorem 3.5 Assume that H4 holds Then every T -periodic solution of 3.32 is ... t−τ t p t, 1.2 e t , and by using topological degree theory and some analysis skills, existence results of periodic solutions for 1.2 have been presented In general, most of the existing results...
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GLOBAL ASYMPTOTIC STABILITY OF SOLUTIONS OF CUBIC STOCHASTIC DIFFERENCE EQUATIONS ALEXANDRA RODKINA potx
... limits liminf and limsup are finite by the application of Lemmas 2.1, 2.2, and 2.3 as in the proof of Theorem 3.1 Hence, the proof of Corollary 4.2 is complete 258 Asymptotic stability of cubic SDEs ... the asymptotic behavior of (1.1) help us to understand the asymptotic behavior of methods (1.3) and provide criteria to choose possibly variable step sizes ∆n in its algorithm such that asymptotic ... However, only few of those discretization methods are appropriate to tackle the problem of almost sure asymptotic stability of their trivial solutions One of the successful classes is that of partially...
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Báo cáo khoa học: Global shape and pH stability of ovorubin, an oligomeric protein from the eggs of Pomacea canaliculata pot
... obtained at pH 6.0 No preferential loss of signal in the region of any of the aromatic residues was observed, suggesting a global loss of the tertiary structure of ovorubin Enzymatic digestion with ... (2005) Effects of submersion and aerial exposure on clutches and hatchlings of Pomacea canaliculata (Gastropoda: Ampullariidae) Am Malacol Bull 20, 55–63 Structure and pH stability of snail egg ... with a major axis of ˚ ˚ 130 A and a minor one varying between 63 and 76 A Image analysis of transmission electron microscopy (TEM) data provided a size distribution curve of these particles...
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Đề tài " Global existence and convergence for a higher order flow in conformal geometry" pptx
... are satisfied if Y (g0 ) ≥ and M Q0 dV0 ≥ 0, and M is not conformally equivalent to the standard sphere S C Fefferman and R Graham [14], [15] established the existence of a conn formally invariant ... by M Struwe [24] to establish global existence and exponential convergence for the Ricci flow on compact surfaces, and by X Chen and G Tian [7] to prove convergence of the K¨hler-Ricci flow on K¨hler-Einstein ... in the asymptotic expansion of the kernel H(y, z) coincides with that of the Green’s function for the opern ator (−∆) in Rn Hence, we can apply an inequality of D Adams (see [1, Theorems and 2])...
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Đề tài " Existence and minimizing properties of retrograde orbits to the three-body problem with various choices of masses " potx
... class of solutions related to the figure-8 orbit and made important progress on excluding collision paths [17], [5] Inspired by the discovery of the figure8 orbit, a large number of new solutions ... with variational methods on the existence of certain types of solutions to the planar three-body problem with various choices of masses There is a natural way of classifying orbits by their topological ... line represents a similarity class of one type of double collision Let S be the unit EXISTENCE AND MINIMIZING PROPERTIES OF RETROGRADE ORBITS 329 sphere in V and S be the unit shape sphere The...
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Báo cáo sinh học: "Engineered artificial antigen presenting cells facilitate direct and efficient expansion of tumor infiltrating lymphocytes" pot
... ligands for the T cell receptor and costimulatory molecules can activate and expand T cells for transfer, while improving their potency and function The first generation of aAPC consisted of ... KT64/BBL aAPCs-based expansion TILs K562 cells expressing CD64, CD137L and CD28 ligands CD80 and CD86, pulsed with anti-CD3 antibody efficiently activate and expand CD8+ CD28- T cells and antigen-specific ... comparison, addition of IL-2 to aAPC-based expansion induced vigorous numerical growth of TILs (>170-fold) in the presence or absence of anti-CD28 mAb, and the level of TIL expansion was similar...
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báo cáo hóa học: " Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping" ppt
... B: Global nonexistence of positive initial-energy solutions of a system of nonlinear wave equations with damping and source terms Diff Integ Equ 23, 79–92 (2010) 27 Vitillaro, E: Global nonexistence ... f1 and f2, the techniques used by Han and Wang [19] and Agre and Rammaha [22] allowed them to prove the local existence result only for n ≤ We note that the local existence result in the case of ... (3:3) Proof The proof is almost the same that of Said-Houari [26], so we omit it here □ To prove our result and for the sake of simplicity, we take a = b = and introduce the following: Liang and Gao...
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Báo cáo hóa học: " Research Article Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales" pptx
... 2010 19 L Erbe, A Peterson, and S H Saker, Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales,” Journal of Computational and Applied Mathematics, vol ... behaviour of bounded solutions of a class of higher-order neutral dynamic equations,” Applied Mathematics and Computation, vol 215, no 6, pp 2174–2183, 2009 23 D.-X Chen, “Oscillation and asymptotic behavior ... solutions of various equations on time scales, and we refer the reader to 5–18 Recently, Erbe et al 19–21 considered the asymptotic behavior of solutions of the third-order dynamic equations a t r...
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Báo cáo hóa học: " Research Article Asymptotic Behavior of Solutions to Some Homogeneous Second-Order Evolution Equations of Monotone Type" potx
... Mitidieri [4, 5], Poffald and Reich ¸ [6], and V´ ron [7] e V´ ron [8, 9] studied the existence and uniqueness of solutions to (1.1) with the fole lowing assumptions on p(t) and r(t): p ∈ W 2,∞ (0,+∞), ... remarks on the asymptotic behaviour of the solutions of second order evolution equations,” Journal of Mathematical Analysis and Applications, vol 107, no 1, pp 211–221, 1985 [6] E I Poffald and S Reich, ... operator A and the functions p(t) and r(t), similar to those assumed by V´ ron [8, 9], implying the existence of solutions to (1.1) e Throughout the paper, we assume that (1.2) holds and A−1 (0)...
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