existence and asymptotic expansion of solutions

... Approximation and Asymptotic Expansion of Solutions 139 operator Kirchhoff or the operator Kirchhoff–Carrier, such as existence of local and global solutions, global regular solutions, the asymptotic ... Global existence and stability for wave equation of Kirchhoff type with memory condition at the boundary Nonlinear Anal 54, 959–976 (2003) Linear Approximation and Asymptotic Expansion of Solutions ... Kirchhoff–Carrier wave equation in the unit membrane: The quadratic convergence and asymptotic expansion of solutions Demonstr Math 40(2), 365–392 (2007) 15 Long, N.T., Truong, L.X.: Existence and

Ngày tải lên: 15/12/2017, 14:41

... obtained: asymptotical and exponential stability of DAEs which are of index and [6], Floquet theory of periodic DAEs, criteria for the trivial solution of DAEs with small nonlinearities to be asymptotically ... a C-function of im P (t) of (3.11) Thus, C-classes R of (2.1) and RUimP of the invariant subspace im P of the solution space of (3.11) coincide Suppose that xδ (t) is a solution of the perturbed ... holds for all t ≥ t0 ≥ and any solution x( · ) of (2.1) (2.2) The Central Exponent and Asymptotic Stability The set RA,B of all C-functions of (2.1) is called C-class of (2.1) For any function

Ngày tải lên: 06/08/2014, 05:20

... distributions of the number of edges in a random dissection and in a random outerplanar graph, respectively Proof of Theorem 1.4 The limit distribution of the number of edges in a ... expand the generating... the chromatic number of a random outerplanar graph 5.1 Connectedness, components, and isolated vertices We start with the proof of Theorem 1.3 (1) Proof of ... distribution of the number of components of a specific type, an interesting question is the analysis of the number of copies of a fixed outerplanar graph... distribution of the number of

Ngày tải lên: 07/08/2014, 15:23

... kind if and only if L and R are Andr´e permutations of the first kind. Theorem 7. Let π ∈ S n . Then π is an Andr´e permutation of the first kind if and only if it avoids andr ´ e = and . Proof. Note ... I, and set of values of the right-to- left maxima 2 Here the set of inversions means the set of occurrences of the pattern 21, not the positions of the inversions. the electronic journal of combinatorics ... patterns and the expansion of permutation statistics as sums of permutation patterns Pett er Br? ?and? ?en ∗ Department of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden Anders Claesson

Ngày tải lên: 08/08/2014, 14:23

... 0 if and only if it is the coefficient of (1+ ζ) n , where 1 +ζ is a root of Φ 2 b+1 (x −1) and b = a i for all i = 1, ··· , l, i.e. 2 b does not appear in the 2-adic expansion of k. Proof: Recall ... some of the ci ’s, i = 1, 2r − 1, are zero Because of this, we write the asymptotic expansion of S(σn,k1 + · · · + σn,ks ) as in (5.32) and decide not to continue with a refinement of ... journal of combinatorics 18(2) (2011), #P8 2 When the asymptotic value of C(F) is zero, we compute the asymptotic values of 1 |λ| n  x 1 , ,x n ∈{0,1} (−1) F (x 1 , ,x n ) , (1.3) where λ and ¯

Ngày tải lên: 08/08/2014, 14:23

... example shows that if ker E ⊄ ker F ( n ) then the asymptotic behavior of solutions of the perturbed SDEs (3.1) and the asymptotic behavior of solutions of the unperturbed one may be quite different, ... one, and those of modulus one are semisimple Let Assumptions 1, 2, and hold Then, all solutions of (3.1) are bounded on » (n ) Proof The properties of matrix pencil {E , A} imply that all solutions ... time-varying and arises in the leading term, too Therefore, in this paper we deals with the preservation of asymptotic behavior of the solutions of IDEs when the perturbation is varying in time and affects

Ngày tải lên: 15/12/2017, 05:35

... analysis and asymptotic behavior of solutions to the abstract Cauchy problem, Semigroup Forum 54 (1997), 58–74 B Basit and H Günzler, Asymptotic behavior of solutions of systems of neutral and convolution ... (to the best of our knowledge) except for periodic solutions no necessary and sufficient conditions in terms of the imaginary solutions of characteristic equations and the spectrum of the forcing ... PERIODIC SOLUTIONS OF EQ (1) 3.1 Spectrum of a Mild Solution of Eq (1) We recall that Eq (1) is assumed to be of finite delay and A is assumed to be the generator of a strongly continuous semigroup of

Ngày tải lên: 16/12/2017, 12:27

... scope and improve the understanding of the extent of land cover change in Northern Eurasia and the impact of land-cover distribution and change on a range of ecosystem processes In terms of future ... available for land-cover change detection, validation of land cover and land-cover change products, and development of interdisciplinary research that builds on improved monitoring of land cover  ... exchange and formation of the community of users Further development of NERIN will require maintaining and expanding the ongoing network projects (fire monitoring and NELDA) and development of new

Ngày tải lên: 20/10/2022, 01:48

... estimates of the first derivative of the conditional hazard function, we establish uniform convergence properties and asymptotic normality of an estimate of the maximum in the context of independence ... calculating the maximum of the conditional hazard function of these estimates, and establishing their asymptotic normality, considering a particular type of kernel for the functional part of the estimates ... mode of convergence implies both almost sure and in probability convergence (see for instance Bosq and Lecoutre, (1987)) Recall that a sequence (Tn )n∈N of random variables P is said to be of order

Ngày tải lên: 19/11/2022, 11:46

... the practice the number of delays is limited by the length of practical implementation and the asymptotic stability of these system is the so-called practical stability of the fractional discretetime ... The main aim of this paper is to give new necessary and sufficient conditions for practical stability and asymptotic stability of the system (3), which not require direct checking of the condition ... The diagrams of d(α, L) and g(α, L) calculated from (22) and (23) as a function of fractional order α ∈ (0, 1) for small L = 10 and large L = 1000 values of the length L of practical implementation

Ngày tải lên: 04/12/2022, 15:54

... exponent Sobolev 1 space, under appropriate assumptions on f, g, a and b, we obtain some results on existence and multiplicity of solutions of the prob- lem. Mathematics Subject Classification (2000): ... p(x)-Laplacian equations and the corresponding variational problems. Corrˆea and Figueiredo [13] presented several sufficient conditions for the existence of positive solutions to a class of nonlocal boundary ... the p-Laplacian and nonlinear boundary condition Nonlinear Anal 71, 2447–2455 (2009) [38] Deng, SG, Wang, Q: Nonexistence, existence and multiplicity of positive solutions to the

Ngày tải lên: 20/06/2014, 21:20

... element of the set of solutions of a mixed equilibrium problem, the set of fi xed points of an infinite family of nonexpansive mappings, and th e set of solu- tions of a general system of variational ... (x), and J q (-x)=-J q (x) for all x Î Chen and Wan Journal of Inequalities and Applications 2011, 2011:49 http://www.journalofinequalitiesandapplications.com/content/2011/1/49 Page 2 of 14 E and ... (x) + c q ||y|| q , ∀x, y ∈ E . 3 Existence and uniqueness of solutions for (SGQVI) In this section, we shall investigate the existence and uniqueness of solutions for (SGQVI) in q-uniformly

Ngày tải lên: 21/06/2014, 00:20

... with the existence of positive solutions of nonlocal BVPs (see [3-9] and references therein). Inspired by the above references, our aim in the present paper is to investigate the existence and multiplicity ... Page 11 of 11 Author details 1 College of Aeronautics and Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People’s Republic of China 2College of Science, ... Access Existence and multiplicity of positive solutions for a nonlocal differential equation Yunhai Wang 1* , Fanglei Wang 2,3 and Yukun An 3 * Correspondence: yantaicity@163. com 1 College of Aeronautics

Ngày tải lên: 21/06/2014, 02:20

... and also by the 985 project of Harbin Institute of Technology. Authors’ contributions DZ and JS carried out the proof of existence, BW conceived of the study, and participated in its design and ... Q T , u 1 , u 2 ∈ R . 2 Existence and uniqueness In this section, we show the local existence and uniqueness of weak solutions of (1.1)- (1.3). First, we show the local existence results. Theorem ... Open Access Local existence and uniqueness of solutions of a degenerate parabolic system Dazhi Zhang, Jiebao Sun * and Boying Wu * Correspondence: sunjiebao@126. com Department of Mathematics,

Ngày tải lên: 21/06/2014, 03:20

... 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...

Ngày tải lên: 21/06/2014, 18:20

... 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...

Ngày tải lên: 22/06/2014, 18:20

... 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...

Ngày tải lên: 22/06/2014, 22:20

... 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...

Ngày tải lên: 21/06/2014, 20:20

... 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...

Ngày tải lên: 21/06/2014, 07:20

... 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...

Ngày tải lên: 21/06/2014, 16:20