solving a cubic equation

... Poltavskii and G N Vaniko, HYpersingular Integral Equations and Their Applications, CRC, 2004 [4] P A Martin, Exact solution of a simple hypersingular integral equation, Fournal of Integral Equations ... integral equations, Chapman & Hall / CRC Press, Boca Raton, 1999, 226 p [7] Nguyen Van Ngoc, On the solvability of dual integral equations involving Fourier Transforms, Acta Math Vietnamica, 13(2)(1988), ... eF˘ , SOLVING A DUAL INTEGRAL EQUATION Reduction to a hypersingular integral equation The aim of this Section is to propose a method for reducing the dual integral equation (2.13) to an hypersingular...

Ngày tải lên: 23/04/2015, 10:02

... Monosaccharides A carbohydrate that cannot be split or hydrolyzed into smaller carbohydrates Monosaccharides are carbohydrates with: • 3-9 carbon atoms • A carbonyl group (aldehyde or ketone) • Several ... cellular membranes of the brain and nervous system • Combines with glucose in lactose (a disaccharide and a sugar in milk) CH2OH Disease - Galactosemia Galactosemia missing the enzyme that convert ... have β-amylase (an enzyme) and they cannot digest cellulose such as wood or paper (contain β-glucose) Mutarotation Change in specific rotation that accompanies the equilibration of α and β anomers...

Ngày tải lên: 15/03/2014, 22:00

... who want to master optical waveguide analyses and will facilitate optoelectronics research and development Kanagawa, Japan March 2001 KENJI KAWANO and TSUTOMU KITOH INTRODUCTION TO OPTICAL WAVEGUIDE ... vacuum, and er and mr are the relative permittivity and permeability of the material Since the relative permeability mr is for materials other than magnetic FUNDAMENTAL EQUATIONS materials, it is assumed ... (Electronic) CHAPTER FUNDAMENTAL EQUATIONS This chapter summarizes Maxwell's equations, vectorial wave equations, and the boundary conditions for electromagnetic ®elds 1.1 MAXWELL'S EQUATIONS The...

Ngày tải lên: 17/03/2014, 14:41

... in Malaysia, Melacca About the Author S Vahid Aryadoust is a PhD candidate in applied linguistics from National Institute of Education, Nanyang Technological University, Singapore His areas of ... organization of materials, vocabulary use, and writing quantity (Mullen, 1977); relevance and adequacy of content, compositional organization, cohesion, adequacy of vocabulary, grammar, punctuation, ... inappropriacies Misunderstandings may occur in unfamiliar situations Handles complex detailed argumentation well Expert user Has fully operational command of the language: appropriate, accurate...

Ngày tải lên: 19/03/2014, 07:20

... ificas, Madrid, Spain E-mail address: dcg@imaff.cfmac.csic.es Universidad Rey Juan Carlos, Madrid, Spain E-mail address: mafontel@escet.urjc.es References [1] G R Baker, X Li, and A C Morlet, Analytic ... FOR A TRANSPORT EQUATION 1389 [4] ´ ´ A Cordoba and D Cordoba, A maximum principle applied to quasi-geostrophic equations, Comm Math Phys 249 (2004), 511–528 [5] ´ ´ D Chae, A Cordoba, D Cordoba, ... Annals of Mathematics, 162 (2005), 1377–1389 Formation of singularities for a transport equation with nonlocal velocity ´ ´ By Antonio Cordoba∗ , Diego Cordoba∗∗ , and Marco A Fontelos∗∗ * Abstract...

Ngày tải lên: 29/03/2014, 07:20

... ULTRA-FINE PARTICLES: edited by Chikara Hayashi, R Ueda and A Tasaki WIDE BANDGAP SEMICONDUCTORS: edited by Stephen J Pearton Ceramic and Other Materials—Processing and Technology ADVANCED CERAMIC PROCESSING ... Stephen M Rossnagel, and Harold R Kaufman HANDBOOK OF MAGNETO-OPTICAL DATA RECORDING: edited by Terry McDaniel and Randall H Victora HANDBOOK OF MULTILEVEL METALLIZATION FOR INTEGRATED CIRCUITS: ... edited by K Byrappa and Masahiro Yoshimura HANDBOOK OF INDUSTRIAL REFRACTORIES TECHNOLOGY: by Stephen C Carniglia and Gordon L Barna SHOCK WAVES FOR INDUSTRIAL APPLICATIONS: edited by Lawrence E Murr...

Ngày tải lên: 29/03/2014, 13:20

... (1883) Biler, P: Remark on the decay for damped string and beam equations Nonlinear Anal TMA 9, 839–842 (1984) Brito, EH: Nonlinear initial boundary value problems Nonlinear Anal TMA 11, 125–137 (1987) ... (1991) Matsuyama, T, Ikerata, R: On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms J Math Anal Appl 204, 729–753 (1996) doi:10.1006/jmaa.1996.0464 ... nonlinear wave equations of Kirchhoff type with some dissipation Nonlinear Anal TMA 65, 243–264 (2006) doi:10.1016/j.na.2004.11.023 13 Yamada, Y: On some quasilinear wave equations with dissipative...

Ngày tải lên: 20/06/2014, 21:20

... nonhomogeneous A- harmonic equation The following nonlinear elliptic equation −divA(x, ∇u) = f (x) (2:1) is called the nonhomogeneous A- harmonic equation, where A : Rn × Rn → Rn is an operator satisfying ... obstacle problem is always a supersolution to (2.1) in Ω Li et al Journal of Inequalities and Applications 2011, 2011:80 http://www.journalofinequalitiesandapplications.com/content/2011/1/80 Page ... China (Grant No 11071048) Authors’ contributions All authors contributed equally in this paper They read and approved the final manuscript Competing interests The authors declare that they have...

Ngày tải lên: 20/06/2014, 22:20

... equation and a Jensen-quadratic equation Abstr Appl Anal 2007 (2007) Article ID 45179 Găvruta, P: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings J Math Anal Appl ... pnas.27.4.222 Bae, J-H, Park, W-G: On stability of a functional equation with n variables Nonlinear Anal TMA 64, 856–868 (2006) doi:10.1016/j.na.2005.06.028 Bae, J-H, Park, W-G: On a cubic equation ... multidimensional functional equation having quadratic forms as solutions J Inequal Appl 2007 (2007) Article ID 24716 11 Rassias, TM: On the stability of linear mappings in Banach spaces Proc Amer Math Soc 72,...

Ngày tải lên: 20/06/2014, 22:20

... functional equation J Inequal Appl 2011 (2011) Article ID 194394 13 Kenary, HA: On the Hyers-Ulam-Rassias stability of a functional equation in non-Archimedean and random normed spaces Acta Universitatis ... Del Circolo Math Di Palermo (to appear) Kenary, HA, Shafaat, Kh, Shafei, M, Takbiri, G: Hyers-Ulam-Rassias stability of the Appollonius quadratic mapping in RNspaces J Nonlinear Sci Appl 4, 110–119 ... Găvruta, P: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings J Math Anal Appl 184, 431–436 (1994) doi:10.1006/jmaa.1994.1211 Skof, F: Local properties and approximation...

Ngày tải lên: 20/06/2014, 22:20

... na.2004.03.010 Liu, SB, Li, SJ: Infinitely many solutions for a super elliptic equation Acta Mathematica Sinica Chinese Series 46, 625–630 (2003) Salvatore, A: Sign-changing solutions for an asympotically ... boundary value Those abstract results involved a Banach space of continuous functions in the Hilbert space, where the cone has a nonempty interior This plays a crucial role While the abstract ... \ D In applications, D contains all positive and negative critical points, and S includes all possible sign-changing critical points Hence, nontrivial sign-changing solutions can be obtained by...

Ngày tải lên: 20/06/2014, 22:20

... Tatar, N-e: A memory type boundary stabilization of a mildy damped wave equation Electron J Qual Theory Diff Equ 6, 1–7 (1999) 12 Liu, WJ: General decay rate estimate for a viscoelastic equation ... Exponential decay for a quasilinear viscoelastic equation Math Nachr 282, 1443–1450 (2009) doi:10.1002/mana.200610800 22 Munoz Rivera, JE, Lapa, EC, Baretto, R: Decay rates for viscoelastic plates ... Volterra equation with large initial data SIAM J Math Anal 16, 110–134 (1985) doi:10.1137/0516007 30 Medjden, M, Tatar, N-e: On the wave equation with a temporal nonlocal term Dyn Syst Appl 16,...

Ngày tải lên: 20/06/2014, 22:20

... nonlinear nature of our model at hand Indeed, we are dealing with a dynamical system with piecewise constant nonlinearlities see e.g., 2–6 , and the usual linear and continuity arguments cannot be applied ... its region of attraction Advances in Difference Equations Equation 1.3 is related to several linear recurrence and functional inequality relations of the form ax2k−2 d, k ∈ N, 1.6 ax2k−1 d, k ∈ ... Huang, “Asymptotic behavior of solutions for a class of delay difference equation, ” Annals of Differential Equations, vol 21, no 1, pp 99–105, 2005 Z Yuan, L Huang, and Y Chen, “Convergence and...

Ngày tải lên: 21/06/2014, 11:20

... ds a b k a, s ds a a a a2 − 3s2 3.3 6s ds Since k is a nondecreasing function of t, we have max 0

Ngày tải lên: 21/06/2014, 11:20

... Oxford Mathematical Monographs, Oxford University Press, New York, NY, USA, 1993 12 T Iwaniec and A Lutoborski, “Integral estimates for null Lagrangians,” Archive for Rational Mechanics and Analysis, ... nonhomogeneous Aharmonic equation, ” Journal of Mathematical Analysis and Applications, vol 335, no 2, pp 1274–1293, 2007 Z Cao, G Bao, R Li, and H Zhu, “The reverse Holder inequality for the solution to A- harmonic ... nonhomogeneous A- harmonic equations on Riemannian manifolds,” Proceedings of the American Mathematical Society, vol 132, no 8, pp 2367–2395, 2004 Journal of Inequalities and Applications 11 L D’Onofrio and...

Ngày tải lên: 21/06/2014, 18:20

... HITC200709 and Development Program for Outstanding Young Teachers in HIT HITQNJS.2006.052 References R P Agarwal and S Ding, “Advances in differential forms and the A- harmonic equation, ” Mathematical and ... Mathematical Analysis and Applications, vol 279, no 1, pp 350–363, 2003 S Ding and Y Ling, “Weighted norm inequalities for conjugate A- harmonic tensors,” Journal of Mathematical Analysis and Applications, ... the conjugate A- harmonic equation A x, du dv 1.3 in Ω, and A 1 exists in Ω, we call u and v conjugate A- harmonic tensors in Ω We also consider solutions to the equation of the form d A x, dw B...

Ngày tải lên: 21/06/2014, 20:20

... Differential Equations and Their Applications, Birkh¨ user, Boston, Mass, USA, 1998 a S.-M Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis, Hadronic Press, Palm Harbor, ... “Approximate homomorphisms,” Aequationes Mathematicae, vol 44, no 2-3, pp 125–153, 1992 11 Th M Rassias, “On the stability of functional equations and a problem of Ulam,” Acta Applicandae Mathematicae, ... point approach to the stability of an equation of the square spiral,” Banach Journal of Mathematical Analysis, vol 1, no 2, pp 148–153, 2007 14 S.-M Jung and J M Rassias, “Stability of general Newton...

Ngày tải lên: 22/06/2014, 11:20

... Nakmahachalasint, “On the generalized Ulam-Gavruta-Rassias stability of mixed-type linear and Euler-Lagrange-Rassias functional equations,” International Journal of Mathematics and Mathematical ... Hyers-Ulam stability of related functional equations The well-known Cauchy equation, Pexider equation, Jensen equation, quadratic functional equation, and d’Alembert functional equation are typical ... Berlin, Germany, 1983 a 10 P Gavruta, “An answer to a question of John M Rassias concerning the stability of Cauchy equation, ” in Advances in Equations and Inequalities, Hadronic Mathematics, pp...

Ngày tải lên: 22/06/2014, 11:20

... Isac, and Th M Rassias, Stability of Functional Equations in Several Variables, vol 34 of Progress in Nonlinear Differential Equations and Their Applications, Birkh¨ user Boston, a Boston, Mass, ... Journal of Inequalities and Applications Banach algebra Ꮽ They have shown that if a mapping f : X → Ꮽ satisfies f (x ◦ y) − f (x) f (y) ≤ (3) with some > 0, then there exist a commutative C ∗ -algebra ... Boston, Mass, USA, 1998 [2] J Acz´ l and J Dhombres, Functional Equations in Several Variables, vol 31 of Encyclopedia of e Mathematics and Its Applications, Cambridge University Press, Cambridge,...

Ngày tải lên: 22/06/2014, 22:20