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 ... and Technology no 200803 and the Middle-aged and Young Leader in Zhejiang University of Science and Technology 2008–2012 References G Andrews, “On the existence of solutions to the equation ... Journal of Differential Equations, vol 35, no 2, pp 200–231, 1980 G Andrews and J M Ball, Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity,” Journal of Differential...
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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 ... inequalities with impact effects,” Journal of Computational and Applied Mathematics, vol 63, no 1–3, pp 123–138, 1995 [13] J Y Park and J J Bae, “On existence of solutions of degenerate wave equations with ... damping and source terms,” Journal of Mathematical Analysis and Applications, vol 239, no 2, pp 213–226, 1999 [19] C Varga, Existence and infinitely many solutions for an abstract class of hemivariational...
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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 ... inequalities with impact effects,” Journal of Computational and Applied Mathematics, vol 63, no 1–3, pp 123–138, 1995 [13] J Y Park and J J Bae, “On existence of solutions of degenerate wave equations with ... damping and source terms,” Journal of Mathematical Analysis and Applications, vol 239, no 2, pp 213–226, 1999 [19] C Varga, Existence and infinitely many solutions for an abstract class of hemivariational...
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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 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 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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EXISTENCE AND GLOBAL STABILITY OF POSITIVE PERIODIC SOLUTIONS OF A DISCRETE PREDATOR-PREY SYSTEM potx
... L.-L Wang and W.-T Li, Existence of periodic solutions of a delayed predator-prey system with functional response, Int J Math Sci (2002), no 1-2, 55–63 , Existence and global stability of positive ... seasonal affects of weather, etc.), it would be of interest to study the global existence and global stability of positive solutions for periodic systems [18] Recently, some excellent existence results ... reasons, we only consider solutions N(k) with Ni (−k) ≥ 0, k = 1,2, ,max τ1 , τ2 ,[σ] , Ni (0) > 0, i = 1,2 (1.8) 324 Existence and stability of periodic solutions Existence of positive periodic solution...
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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
... 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 ... 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...
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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 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 ... Moreover the polynomial decay rate for solutions is established There are many articles devoted to the investigation of the asymptotic behavior of solutions of nonlinear wave equations with nonlinear...
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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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Báo cáo hóa học: " Research Article Extinction and Decay Estimates of Solutions for a Class of Porous Medium Equations" pptx
... (1.13) Journal of Inequalities and Applications Proofs of theorems In this section, we will give detailed proofs for our result Let · L p (Ω) and W 1,p (Ω) norms, respectively, ≤ p ≤ ∞ p and · 1,p ... conditions about the extinction and decay estimations of solutions for problem (1.1)–(1.3) For the proof of our result, we employ L p -integral model estimate methods and two crucial lemmas on differential ... , T3 , and T4 are given by (2.29), (2.34), (2.31), and (2.36), respectively To obtain the above results, we will use the following lemmas which are of crucial importance in the proofs of decay...
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Báo cáo hóa học: " Research Article Existence and Data Dependence of Fixed Points and Strict Fixed Points for " pot
... Council of the Ministry of Education and Research of Romania, Grant CNCSIS 187 8 Fixed Point Theory and Applications References [1] R P Agarwal, J Dshalalow, and D O’Regan, “Fixed point and homotopy ... semicontinuous Then Fix T = ∅ The purpose of this paper is to study the existence and data dependence of the fixed points and strict fixed points for some self and nonself multivalued operators satisfying ... r Then Fix(T) ∩ B(x0 ,r) = ∅ Proof By (i) and (iii) we deduce the existence of an element x1 ∈ T(x0 ) such that d(x0 , x1 ) ≤ qD(x0 ,T(x0 )) < (1 − (aq + b))r and D(x1 ,T(x1 )) ≤ ad(x0 ,x1 )...
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Báo cáo hóa học: "ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR NEUTRAL DYNAMIC EQUATIONS ON TIME SCALES" pdf
... μ(t)q(t) a (2.3) σ(t) Since a = a + t and t q(s)Δs = μ(t)q(t) using [2, Theorem 1.75], QΔ (t) ≡ By the uniqueness of solutions to initial value problems, Q(t) ≡ and the conclusion follows For example, ... the points a and t as r a and r t for positive integers a and t with t > a Then we have t −1 k r k+ j q r k q r j = k=a j =a 2 t −1 rkq rk k =a t −1 + rkq rk k =a (2.6) Douglas R Anderson As ... Mathematics 18 (1990), no 1-2, 18–56 Douglas R Anderson: Department of Mathematics and Computer Science, Concordia College, Moorhead, MN 56562, USA E-mail address: andersod@cord.edu ...
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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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