solution of a nonlinear pde

... Devi, Theory of Fractional Dynamic Systems, Cambridge Academic, Cambridge, UK, 2009 V Lakshmikantham and A S Vatsala, “Basic theory of fractional differential equations,” Nonlinear Analysis Theory, ... & Applications, vol 69, no 8, pp 2677–2682, 2008 V Daftardar-Gejji, “Positive solutions of a system of non-autonomous fractional differential equations,” Journal of Mathematical Analysis and Applications, ... Applications, vol 302, no 1, pp 56–64, 2005 V Daftardar-Gejji and S Bhalekar, “Boundary value problems for multi-term fractional differential equations,” Journal of Mathematical Analysis and Applications,...

Ngày tải lên: 21/06/2014, 05:20

... M Vinagre, P O’Leary, and L Dorˇ ak, “Analogue realizations of fractionalaˇ c´ order controllers,” Nonlinear Dynamics, vol 29, no 1–4, pp 281–296, 2002 20 D Araya and C Lizama, “Almost automorphic ... Mathematical Analysis and Applications, vol 348, no 1, pp 101–115, 2008 M P Lazarevi´ and A M Spasi´ , “Finite-time stability analysis of fractional order time-delay systems: c c Gronwall’s approach,” ... Diethelm and N J Ford, “Analysis of fractional differential equations,” Journal of Mathematical Analysis and Applications, vol 265, no 2, pp 229–248, 2002 16 K Diethelm and G Walz, “Numerical solution...

Ngày tải lên: 21/06/2014, 20:20

... Find an optimal tour for Problem A and B with the following input data (the source a4 and the sink a1 1 for Problem A) : vertices altitude a1 a2 a3 a4 a5 a6 a7 a8 a9 a1 0 16 a1 1 11 a1 2 a1 3 15 a1 4 ... a1 5 a1 6 16 a1 7 11 We first renumber the vertices in increasing of altitudes We see that a4 ↔ 6, a1 1 ↔ 12, so we have b = and e = 12 vertices altitude renum a9 a2 a5 a1 2 a1 5 4 a4 a3 a6 a7 a1 a8 ... talk given at the Conference on Mathematics, Mechanics, and Informatics, Hanoi, 7/10/2006, on the occasion of 50th Anniversary of Department of Mathematics, Mechanics and Informatics, Vietnam...

Ngày tải lên: 14/03/2014, 13:20

... Ability and adaptability to learn, generalisation, less information requirement, fast real-time operation and ease of implementation have made ANNs popular in the last few years ANNs have been applied ... the Backpropagation (BP) [9], which is the most popular algorithm in the arena of neural networks Backpropagation The standard backpropagation by Rumelhart and McClelland has been demonstrated ... position as a parameter This method is based on storing the (ψ/θ/i) information in a look up table Elmas and Zelaya de la parra [4] described a similar method which applies Least Squares curve...

Ngày tải lên: 28/04/2014, 10:17

... differential-difference equations J Frac Calculus 10, 101–107 (1996) El-Sayed, AMA, Gaafar, FM, Hamadalla, EMA: Stability for a non-local non-autonomous system of fractional order differential equations ... Kilbas, AA, Srivastava, HM, Trujillo, JJ: Theory and Applications of Fractional Differential Equations Elsevier, Amsterdam (2006) Podlubny, I: Fractional Differential Equation Academic Press, San ... Cite this article as: El-Sayed and Gaafar: Stability of a nonlinear non-autonomous fractional order systems with different delays and non-local conditions Advances in Difference Equations 2011...

Ngày tải lên: 20/06/2014, 22:20

... stability and oscillation of a family of difference equations J Math Anal Appl 294, 614–620 (2004) doi:10.1016/j.jmaa.2004.02.039 Sun, T., Xi, H.: Global attractivity for a family of nonlinear ... doi:10.1016/j.aml.2005.10.014 doi:10.1186/1687-1847-2011-36 Cite this article as: Shi et al.: Dynamic behavior of a nonlinear rational difference equation and generalization Advances in Difference Equations ... various equation listed above suggests that the same potentially holds for similar rational equations We can deduce the following natural generalization of (1.1) and (1.4) Corollary Let s Î N+ and Zs...

Ngày tải lên: 20/06/2014, 22:20

... A I Garralda-Guillem, M Ruiz Gal´ n, and M C Serrano P´ rez, a a e “Analytical techniques for a numerical solution of the linear Volterra integral equation of the second kind,” Abstract and Applied ... initial-value problems a a countably determined,” Journal of Computational and Applied Mathematics, vol 228, no 1, pp 77–82, 2009 19 D G´ mez, A I Garralda-Guillem, and M Ruiz Gal´ n, Nonlinear ... in Banach spaces, and numerical a solution of integral and differential equations,” Numerical Functional Analysis and Optimization, vol 26, no 1, pp 129–137, 2005 21 Z Semadeni, Schauder Bases...

Ngày tải lên: 21/06/2014, 10:20

... Switzerland, 1992 a 10 J Appell, N A Erzakova, S Falcon Santana, and M V¨ th, “On some Banach space constants arising a in nonlinear fixed point and eigenvalue theory,” Fixed Point Theory and Applications, ... J Bana´ , J Rocha Martin, and K Sadarangani, “On solutions of a quadratic integral equation of s Hammerstein type,” Mathematical and Computer Modelling, vol 43, no 1-2, pp 97–104, 2006 R R Akhmerov, ... Commentationes Mathematicae Prace Matematyczne, vol 44, no 1, pp 39– 53, 2004 J Bana´ and A Martinon, “Monotonic solutions of a quadratic integral equation of Volterra type,” s Computers & Mathematics...

Ngày tải lên: 21/06/2014, 20:20

... Vietnam J Math 22 (1994) 114–120 Dang Quang A, Mixed boundary-domain operator method in approximate solution of biharmonic type equation, Vietnam J Math 26 (1998) 243–252 Dang Quang A, Iterative method ... (32) Boundary-Operator Method for Approximate Solution of Boundary Value Problem 17 Scalarly multiplying both sides of the above equality by uδ and taking into account the nonnegativeness of P we ... auδ )T as was mentioned in the beginning of the section Appendix Lemma Suppose A is a linear, symmetric and positive operator, P is a nonnegative operator in a Hilbert space H with the scalar product...

Ngày tải lên: 06/08/2014, 05:20

... Math Anal Appl 305 (2005) 291–295 I Gy˝ri and G Ladas and P H Vlahos, Global attraction in a delay difference o equation, Nonlin Anal 17 (1991) 473–479 G Karakostas, Ch G Philos, and Y G Sficas, ... 273–290 A F Ivanov, On global stability in a nonlinear discrete model, Nonlin Anal 23 (1994) 1383–1389 Yousseff N Raffoul, Positive periodic solutions of nonlinear delay functional difference equations, ... persistence and global stability in models of population growth, J Math Anal Appl 308 (2005) 195–207 Dang Vu Giang and Dinh Cong Huong, Nontrivial periodicity in discrete delay models of population...

Ngày tải lên: 06/08/2014, 05:20

... scheme of which is represented in Fie The vibrator consists of a cantilever beam and a block of mass /?/, which is made of magnetic material The elastic force of the beam is assumed to have a nonlinear ... RESONANCE OF A N O N LIN EA R VIBRATO R U N D ER TH E ACTIO N OF E LEC T R O M A G N ET IC FO R C E N G l'V E N VA N DAO (H A N O I) This paper deals with the parametric resonance of a nonlinear ... the parametric oscillatiòn On the phenomenon o f parametric resonance o f a nonlinear vibrator 283 It is to be noted that the linear oscillation of the mass m in a similar electromechanical system...

Ngày tải lên: 08/04/2015, 15:30

... Equations, vol 149, pp 1–9, 2008 10 J Caballero Mena, J Harjani, and K Sadarangani, “Existence and unqiueness of positive and nondecreasing solutions for a class of singular fractional boundary ... problems of fractional order,” Nonlinear Analysis Hybrid Systems, vol 4, no 1, pp 134–141, 2010 18 V Daftardar-Gejji and H Jafari, “Analysis of a system of nonautonomous fractional differential equations ... Journal of Differential Equations, vol 36, pp 1–12, 2006 Z B Bai and H S Lu, “Positive solutions for boundary value problem of nonlinear fractional ¨ differential equation,” Journal of Mathematical...

Ngày tải lên: 21/06/2014, 07:20

... equation,” Journal of Mathematical Analysis and Applications, vol 168, no 2, pp 540–551, 1992 12 C P Gupta, “Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential ... first order derivative,” Journal of Mathematical Analysis and Applications, vol 290, no 1, pp 291–301, 2004 15 R A Khan and J R L Webb, “Existence of at least three solutions of a second-order ... H Wang, “Positive solutions of nonlinear three-point boundary-value problems,” Journal of Mathematical Analysis and Applications, vol 279, no 1, pp 216–227, 2003 22 P K Palamides, “Positive and...

Ngày tải lên: 21/06/2014, 18:20

... Terzaghi theory CBC MAD -T1 AGC - AGC - 0.01 Data for Chicago Blue Clay (CBC) (Taylor 1948) and Azraq Green Clay (Al-Zoubi 1993) (AGC- & 8) and Madaba Clay (MAD - T1) cv / H m (Proposed) , / (a) ... Lambe and Whitman, 1969; Hossain, 1995; Sridharan and Prakash, 1995; Robinson, 1999) Based on the above (for an example, see Table 3), the similarity in the c v values of the proposed and Casagrande ... secondary compression range as demonstrated in Fig 2, because δ p is only a function of a and b that can be obtained from the primary consolidation range This extrapolation requires at least two data...

Ngày tải lên: 21/03/2013, 14:09

... Statistics for the total amount of experimental data are reported in Table A simulated annealing (SA) procedure was used starting from a randomly generated linear polypeptide chain The actual ... inammation-mediating proteases [16] More recently, a number of patents on the use of BBIs against various apparently unrelated diseases have appeared [1719] The molecular basis of these BBI activities ... bovine pancreas), a- chymotrypsin (TLCK-treated from bovine pancreas), BApNA and GPpNA were purchased from Sigma-Aldrich Solutions of BApNA and GPpNA were freshly prepared by dissolving suitable amounts...

Ngày tải lên: 23/03/2014, 10:21

... HN Ha Hb Asp1 Val2 Ala3 Ser4 Asp5 Ala6 Lys7 Ala8 Ala9 Ala10 Glu11 Leu12 Val13 Ala14 Ala15 Asn16 Ala17 Lys18 Ala19 Ala20 Ala21 Glu22 Leu23 Val24 Ala25 Ala26 Asn27 Ala28 Lys29 Ala30 Ala31 Ala32 ... Liepinsh et al (Eur J Biochem 269) Table Sequence alignment of TTTT and VVVV2KE TTTT VVVV2KE D D TASDAAAAAAL VASDAKAAAEL 13 TAANAKAAAEL VAANAKAAAEL hydrogen bonds involving the hydroxyl groups of the ... constants [26] The COSY and TOCSY cross-peaks were visually inspected to determine the relative magnitude of the JHa,Hb couplings of CbH2 methylene groups The ROESY 24 TAANAAAAAAA VAANAKAAAEA 35...

Ngày tải lên: 31/03/2014, 21:21

... for beamforming acceleration on SAFT imaging IEEE International Ultrasonics Symposium 2009, 1334-1337 Elnokrashy AF, Elmalky AA, Hosny TM, Ellah MA, Megawer A, Elsebai A, Youssef ABM, Kadah YM: ... performed on a CPU In this article, a GPU implementation of the generalized ASM (GASM) in a 3D + t configuration is presented The mathematical and the acoustic background of the GASM have already been ... for parallel computation as well as the kernel that makes calculations voxel by voxel in a 3D image The final increase in speed measured on a laptop graphics card (Quadro NVS 160 M) is 3.5 On a...

Ngày tải lên: 20/06/2014, 22:20

... Properties of fixed point sets of nonexpansive mappings in Banach spaces Trans Am Math Soc 179, 251–262 (1973) 20 Browder, FE: Nonlinear operators and nonlinear equations of evolution in Banach spaces ... doi:10.1016/j.amc.2010.08.033 17 Takahashi, W: Nonlinear Functional Analysis Yokohama Publishers, Yokohama (2000) 18 Xu, HK: Iterative algorithms for nonlinear opearators J Lond Math Soc 66, 240–256 ... doi:10.1006/ jmaa.2000.6919 13 Noor, MA, Noor, KI: Sensitivity analysis for quasi-variational inclusions J Math Anal Appl 236, 290–299 (1999) doi:10.1006/jmaa.1999.6424 14 Takahashi, W, Toyoda, M: Weak convergence...

Ngày tải lên: 21/06/2014, 01:20

... ≥ to denote a positive negative, seminegative, and semipositive definite matrix P Journal of Inequalities and Applications Exponential Stabilization of a Class of Uncertain Nonlinear System This ... control, and some exponential stability criteria are established Finally, some conclusions and remarks are drawn in Section Problem Formulation and Preliminaries Consider a class of nonlinear uncertain ... this paper, we deal with the exponential stabilization problem of a class of uncertain nonlinear systems by means of periodically intermittent control Based on Lyapunov function approach, several...

Ngày tải lên: 21/06/2014, 06:20

... For related work in this hot area, we refer to Ahmad and Farajzadeh 28 , Ansari and Yao 29 , Chang and Huang 9, 10 , Cho and Huang 30 , Cho and Lan 31 , Huang 25, 26, 32 , Huang et al 33 , and the ... Normal University, vol 18, pp 89–93, 1995 14 T Husain, E Tarafdar, and X Z Yuan, “Some results on random generalized games and random quasi-variational inequalities,” Far East Journal of Mathematical ... set-valued quasi-complementarity problems,” Acta Mathematicae Applicatae Sinica, vol 16, pp 396–405, 1993 11 S S Zhang and Y G Zhu, “Problems concerning a class of random variational inequalities...

Ngày tải lên: 21/06/2014, 07:20