solving equations for a system of spherical layers

... equations, diagonal systems and variational integrals Manuscripta Math 55, 467–486 (1986) doi:10.1007/BF01186659 Rutkauskas, S: On the first boundary value problem for the class of elliptic systems ... is that spherical coordinates are more convenient than Cartesian in the calculation of the m coefficients anm of series (25) The matter is such that spherical functions Yn (ϕ, ϑ) have quite a simple ... systems degenerating at an inner point Math Model Anal 6(1), 147–155 (2001) Rutkauskas, S: On the Dirichlet problem for a system of degenerate at a point elliptic equations in the class of bounded...

Ngày tải lên: 21/06/2014, 00:20

... Messaoudi, SA, Tatar, N-E: Exponential and polynomial decay for a quasilinear viscoelastic problem Nonlinear Anal 68, 785–793 (2007) Messaoudi, SA: General decay of solutions of a viscoelastic ... for b = and b = and for a wider class of relaxation functions He established a more general decay result, for which the usual exponential and polynomial decay results are just special cases For ... source terms J Math Anal Appl 365, 277–287 (2010) doi:10.1016/j jmaa.2009.10.050 21 Liu, WJ: Uniform decay of solutions for a quaslinear system of viscoelastic equations Nonlinear Anal 71, 2257–2267...

Ngày tải lên: 21/06/2014, 00:20

... up at T, while u remains bounded up to that time for every pair of initial data Proof of main results Without loss of generality, we consider the case p11 > p21 , to show that there exists a pair ... C Br¨ ndle, F Quiros, and J D Rossi, “Non-simultaneous blow-up for a quasilinear parabolic a system with reaction at the boundary,” Communications on Pure and Applied Analysis, vol 4, no 3, pp ... pair of initial data such that u blows up at a finite time and v remains bounded up to this time if and only if p11 > p21 The case p22 > p12 is handled in a completely analogous form In this paper,...

Ngày tải lên: 22/06/2014, 19:20

... To make our analysis doable, we analyze some conformal invariances found in [Li04] for one equation and made some necessary changes for systems For the reader’s convenience and in order to make ... Classification of solutions for a system of integral equations, Comm Partial Differential Equations 30 (2005), pp 59–65 1, 26 30 31 32 33 34 35 36 SYSTEM OF INTEGRAL EQUATIONS VIA THE METHOD OF ... FanChe12] for related works concerning the equivalence of integral and differential equations In the literature, to classify solutions of some partial differential equations, people usually use one of...

Ngày tải lên: 14/10/2015, 07:54

... in Banach spaces J Inequality Appl 2010, 16 (2010) Article ID916806 16 Kamraksa, U, Wangkeeree, R: A general iterative process for solving a system of variational inclusions in Banach spaces ... solutions and convergence analysis for a system of quasivariational inclusions in Banach spaces Journal of Inequalities and Applications 2011 2011:49 Submit your manuscript to a journal and benefit ... solutions to a system of variational inclusions in Banach spaces and established a strong convergence theorem in uniformly convex and 2-uniformly smooth Banach spaces Kamraksa and Wangkeeree [16]...

Ngày tải lên: 21/06/2014, 00:20

... Theory and Applications T Jitpeera and P Kumam, “An extra gradient type method for a system of equilibrium problems, variational inequality problems and fixed points of finitely many nonexpansive mappings,” ... spaces,” Journal of Mathematical Analysis and Applications, vol 341, no 1, pp 276–286, 2008 23 S Takahashi and W Takahashi, “Strong convergence theorem for a generalized equilibrium problem and ... Bulletin of the American Mathematical Society, vol 73, pp 591–597, 1967 33 W Takahashi, Nonlinear Functional Analysis, Yokohama Publishers, Yokohama, Japan, 2000 34 L.-C Ceng and J.-C Yao, A hybrid...

Ngày tải lên: 21/06/2014, 07:20

... K Aoyama, Y Kimura, W Takahashi, and M Toyoda, “Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space,” Nonlinear Analysis: Theory, Methods & Applications, ... integrals,” Journal of Mathematical Analysis and Applications, vol 305, no 1, pp 227–239, 2005 30 H.-K Xu, “Iterative algorithms for nonlinear operators,” Journal of the London Mathematical Society, ... 2002 31 N Nadezhkina and W Takahashi, “Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings,” Journal of Optimization Theory and Applications, vol...

Ngày tải lên: 21/06/2014, 07:20

... quadratic programming, and variational problems In this paper, we consider, based on the projection method, the approximation solvability of a system of nonlinear relaxed cocoercive variational ... Shang: Department of Mathematics, Tianjin Polytechinc University, Tianjin 300160, China; Department of Mathematics, Shijiazhuang University, Shijiazhuang 050035, China Email address: meijuanshang@yahoo.com.cn ... North-Holland, Amsterdam, Holland, 1983 [6] Z Huang and M Aslam Noor, “An explicit projection method for a system of nonlinear variational inequalities with different (γ,r)-cocoercive mappings,” Applied...

Ngày tải lên: 22/06/2014, 18:20

... of Inequalities and Applications [11] S Adly, “Perturbed algorithms and sensitivity analysis for a general class of variational inclusions,” Journal of Mathematical Analysis and Applications, ... existence and uniqueness theorems of solutions for the system of nonlinear variational inequalities As generalizations of the above systems of variational inequalities, Agarwal et al [33] introduced a ... Theory and Applications can be modeled as a system of variational inequalities Ansari et al [31] introduced and studied a system of vector equilibrium problems and a system of vector variational...

Ngày tải lên: 22/06/2014, 19:20

... elliptic quasivariational inequalities, International Journal of Mathematics and Mathematical Sciences 2003 (2003), no 24, 1547–1561 [6] P G Ciarlet and P. -A Raviart, Maximum principle and uniform ... system of elliptic quasi-variational inequalities: a sim[4] ple proof, Applied Mathematics E-Notes (2005), 97–102 [5] M Boulbrachene, M Haiour, and S Saadi, L∞ -error estimate for a system of elliptic ... Sultan Qaboos University, P.O Box 36, Muscat 123, Sultanate of Oman E-mail address: boulbrac@squ.edu.om Samira Saadi: Departement de Math´ matiques, Facult´ des Sciences, Universit´ d’Annaba,...

Ngày tải lên: 22/06/2014, 21:20

... 857–869, 2005 [10] Y.-P Fang and N.-J Huang, “Iterative algorithm for a system of variational inclusions involving H-accretive operators in Banach spaces,” Acta Mathematica Hungarica, vol 108, no 3, ... condensing operators and an existence theorem of the solutions for a class of functional equations arising in dynamic programming,” Journal of Mathematical Analysis and Applications, vol 160, ... Mass, USA, 1988 [3] G S Ladde, V Lakshmikantham, and A S Vatsala, Monotone Iterative Techniques for Nonlinear Differential Equations, vol 27 of Monographs, Advanced Texts and Surveys in Pure and...

Ngày tải lên: 22/06/2014, 22:20

... stage The table shows the percentage of students caring about their appearance before going to stage As an overall trend, we can see that all of students at Vinh University have a good preparation ... preparation of appearance before being a public speaker As can be seen clearly from the table, 100% of students care about their appearance when speaking in front of many people This is understandable ... the assistance so he should never more fascinate than the speaker Good appearance of an interpreter does not mean fashionable but formal, and polite in every situation Dressing suitably and politely...

Ngày tải lên: 25/12/2013, 20:21

... preserves information in its original sensory form for a brief time, usually only a fraction of a second Short-term memory is a limited capacity store that can maintain unrehearsed information for up ... For example, whereas Solitaire is card game that only one player at a time can play Soccer can allow 11 players per side on a field at any given time Therefore, it is necessary to know how many ... section of the memory storage system of limited capacity ( approximately items) that is capable of storing material for a brief period of time” Mayer (2003) stated that “ your short-term memory is a...

Ngày tải lên: 25/12/2013, 20:21

... Journal of Science, Mathematics - Physics 23 (2007) 201-209 209 [4] J.R Galo, I Albarreal, M.C Calzada, J.L Cruz, E Fernandez-Cara, M Mari´n, Stability and Convergence of a Parallel ´ Fractional ... for the Solution of Linear Parabolic Problems, Applied Mathematics Research Express No (2005) 117 [5] R.D da Cunha, T.R Hopkins, Parallel Over Relaxation Algorithms for Systems of Linear Equations, ... Differential Algebraic Equation, Report No 18 (1997) 430 [2] W Marszalek, Z Trzaska, A Boundary-value Problem for Linear PDAEs, Int.J.Appl.Math.Comput.Sci., Vol 12, No (2002) 487 [3] T Lu, P Neittaanmaki,...

Ngày tải lên: 13/02/2014, 03:20

... Kimura, Y, Takahashi, W, Toyoda, M: Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space Nonlinear Anal 67, 2350–2360 (2007) [43] Takahashi, W, Takeuchi, ... element of the aforementioned sets Our results extend and improve the recent result of Li et al [26], Matsushita and Takahashi [35], Takahashi et al [43], Nakajo and Takahashi [41] and Shehu [45] and ... Takahashi, W: Nonlinear Functional Analysis Yokohama Publishers, Yokohama (2000) [22] Li, JL: The generalized projection operator on reflexive Banach spaces and its applications J Math Anal Appl...

Ngày tải lên: 18/06/2014, 22:20

... solutions for a class of higher-order difference equations Huantao Zhu1 and Weibing Wang∗2 Hunan College of Information, Changsha, Hunan 410200, P.R China Department of Mathematics, Hunan University of ... the NNSF of China (10871063) and Scientific Research Fund of Hunan Provincial Education Department (10B017) References [1] Agarwal, RP: Difference Equations and Inequalities, 2nd edn Marcel Dekker, ... Z and τ (n + ω) = τ (n), f (n + ω, u) = f (n, u) for any (n, u) ∈ Z × R, ω ∈ N Difference equations have attracted the interest of many researchers in the last 20 years since they provided a natural...

Ngày tải lên: 18/06/2014, 22:20

... Kimura, Y, Takahashi, W, Toyoda, M: Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space Nonlinear Anal 67, 2350–2360 (2007) [43] Takahashi, W, Takeuchi, ... element of the aforementioned sets Our results extend and improve the recent result of Li et al [26], Matsushita and Takahashi [35], Takahashi et al [43], Nakajo and Takahashi [41] and Shehu [45] and ... Takahashi, W: Nonlinear Functional Analysis Yokohama Publishers, Yokohama (2000) [22] Li, JL: The generalized projection operator on reflexive Banach spaces and its applications J Math Anal Appl...

Ngày tải lên: 20/06/2014, 04:20

... Lyapunov-type inequalities for certain higher order differential equations J Math Anal Appl 195, 527–536 (1995) [9] Tang, XH, Zhang, M: Lyapunov inequalities and stability for linear Hamiltonian systems ... Wang, X: Stability criteria for linear periodic Hamiltonian systems J Math Anal Appl 367, 329–336 (2010) [11] Wang, X: Lyapunov type inequalities for second-order half-linear differential equations ... Lyapunov inequalities and stability for discrete linear Hamiltonian system Appl Math Comput 2, 574–582 (2011) [14] Zhang, Q, Tang, XH: Lyapunov inequalities and stability for discrete linear Hamiltonian...

Ngày tải lên: 20/06/2014, 21:20

... extend and improve the recent result of Li et al [26], Matsushita and Takahashi [35], Takahashi et al [43], Nakajo and Takahashi [41] and Shehu [45] and others Preliminaries x+y A Banach space E ... doi:10.1016/S0022-247X(02)00458-4 42 Aoyama, K, Kimura, Y, Takahashi, W, Toyoda, M: Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space Nonlinear Anal 67, 2350–2360 ... 21 Takahashi, W: Nonlinear Functional Analysis Yokohama Publishers, Yokohama (2000) 22 Li, JL: The generalized projection operator on reflexive Banach spaces and its applications J Math Anal Appl...

Ngày tải lên: 20/06/2014, 21:20