evolution equations for a micromorphic solid
conte r., magri f., musette m., satsuma j, and winternitz p. direct and inverse methods in nonlinear evolution equations, greco a. m.
... depend on an arbitrary constant , the spectral or Băcklund parameter a At this stage, one has obtained the singular part transformation and the Lax pair Fifth step Obtain the two equations for the ... inverse of a Miura transformation is not a Miura transformation but a Băcklund a transformation 7.2 Integrable equations with a third order Lax pair Let us process a few PDEs which possess a third ... method as a singular part transformation 5.4 The degenerate case of linearizable equations 5.5 Choices of Lax pairs and equivalent Riccati pseudopotentials Second-order Lax pairs and...
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Tài liệu Báo cáo " Fully parallel methods for a class of linear partial differential-algebraic equations " pptx
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Báo cáo sinh học: " Periodic solutions for a class of higher order difference equations" potx
... 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 ... Schauder’s fixed point theorem is crucial in our arguments Lemma 3.2 [16] Let X be a Banach space with D ⊂ X closed and convex Assume that T : D → D is a completely continuous map, then T has a ... 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,...
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Báo cáo toán học: " Lyapunov-type inequalities for a class of even-order differential equations" doc
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Báo cáo hóa học: " Multiple positive solutions for a class of quasilinear elliptic equations involving concave-convex nonlinearities and Hardy terms" ppt
... Math Anal Appl 352, 99–111 (2009) doi:10.1016/j.jmaa.2008.06.021 16 Kang, D: Solution of the quasilinear elliptic problem with a critical Sobolev-Hardy exponent and a Hardy term J Math Anal Appl ... http://www.boundaryvalueproblems.com/content/2011/1/37 Page 15 of 15 11 Wang, L, Wei, Q, Kang, D: Multiple positive solutions for p-Laplace elliptic equations involving concave-convex nonlinearities and a Hardytype term Nonlinear Anal 74, 626–638 ... Math Anal Appl 333, 889–903 (2007) doi:10.1016/j.jmaa.2006.12.005 Ghoussoub, N, Yuan, C: Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents Trans Am Math...
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Báo cáo hóa học: " Monotone iterative technique for impulsive fractional evolution equations" potx
... semilinear evolution equations in Banach spaces Acta Math Sin 41(3),629–636 (1998) 15 Li, Y: The global solutions of initial value problems for abstract semilinear evolution equations Acta Anal Funct ... impulsive differential equations has an extensive physical background and realistic mathematical model, and hence has been emerging as an important area of investigation in recent years, see [18] Correspondingly, ... Mu and Li Journal of Inequalities and Applications 2011, 2011:125 http://www.journalofinequalitiesandapplications.com/content/2011/1/125 Page of 12 abstract partial differential equations that...
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báo cáo hóa học: " On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point" pdf
... elliptic 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 ... (Russian) Achildiyev, SA: First and second boundary value problems for elliptic equations degenerating at the inner points of finite number Dokl Akad Nauk SSSR 152(1), 13–16 (1963) (Russian) Yanushauskas, ... |m|≤n of the particular solutions obtained above Note, if αk0 = for some k0, ≤ k0 ≤ s -1, then ak = for all natural k ≤ k0 - (Such a situation can come to exist, if a < 2.) Therefore, all the sums...
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báo cáo hóa học: " Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions" doc
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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
... 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 ... decay of solutions for a quaslinear system of viscoelastic equations Nonlinear Anal 71, 2257–2267 (2009) doi:10.1016/j.na.2009.01.060 22 Agre, K, Rammaha, MA: Systems of nonlinear wave equations ... and polynomial decay for a quasilinear viscoelastic problem Nonlinear Anal 68, 785–793 (2007) Messaoudi, SA: General decay of solutions of a viscoelastic equation J Math Anal Appl 341, 1457–1467...
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Báo cáo hóa học: " Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders" pot
... with delay Abstr Appl Anal 2010, 2010:1-16 31 Kilbas AA, Srivastava HH, Trujillo JJ: Theory and Applications of Fractional Differential Equations Elsevier, Amsterdam; 2006 32 Krasnoselskii MA: Positive ... Breach, Yverdon; 1993 Kilbas AA, Trujillo JJ: Differential equations of fractional order: methods, results and problem I Appl Anal 2001, 78:153-192 Kilbas AA, Trujillo JJ: Differential equations ... solution for nonlinear fractional differential equation J Math Anal Appl 2000, 252:804-812 12 Jafari H, Gejji VD: Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition...
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Báo cáo hóa học: " Research Article Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations Fei Xiao" potx
... solutions for fractional evolution equations of parabolic type,” Journal of Applied Mathematics and Stochastic Analysis, no 3, pp 197–211, 2004 F Li, “Mild solutions for fractional differential equations ... Karthikeyan, and G M N’Gu´ r´ kata, “Nonlocal Cauchy problem for some fractional e e abstract integro-differential equations in Banach spaces,” Communications in Mathematical Analysis, vol 6, no 1, pp ... where Acl denotes the closure of A A if and only if A is precompact |λ|α A , λ ∈ R α A α A B max{α A , α B } A B ≤α A A x0 α B , where A {x B y : x ∈ A, y ∈ B} α A , for any x0 ∈ X For H...
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Báo cáo hóa học: " Research Article Mixed Monotone Iterative Technique for Abstract Impulsive Evolution Equations in Banach Spaces He Yang" docx
... and V Lakshmikantham, “Monotone iterative technique for differential equations in a Banach space,” Journal of Mathematical Analysis and Applications, vol 87, no 2, pp 454–459, 1982 V Lakshmikantham ... applied to a class of partial differential equations of parabolic type Proof of the Main Results Let X be a Banach space, A : D A ⊂ X → X be a closed linear operator, and A generate a C0 -semigroup ... 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 Applied Mathematics,...
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báo cáo hóa học:" Research Article Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations" pot
... and F1 are weaker than f1 Therefore, both Theorems 1.1 and 1.2 generalize Theorem A by relaxing conditions f1 and f2 When F n, x is subquadratic at infinity, as far as the authors are aware, there ... 430, 2003 A Castro and R Shivaji, “Nonnegative solutions to a semilinear Dirichlet problem in a ball are positive and radially symmetric,” Communications in Partial Differential Equations, vol ... will obtain the critical points of I by using the Mountain Pass Theorem We recall it and a minimization theorem as follows Lemma 2.1 see 15, 17 Let E be a real Banach space and I ∈ C1 E, R satisfy...
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báo cáo hóa học:" Research Article Asymptotic Behavior of Equilibrium Point for a Family of Rational Difference Equations" docx
... provides an efficient method to handle the nonlinear structure Computations are performed using the software package Matlab 7.1 We have dealt with the problem of global asymptotic stability analysis for ... ,” Applied Mathematics and Computation, vol 145, no 2-3, pp 747–753, 2003 X.-Y Xianyi and D.-M Zhu, “Global asymptotic stability in a rational equation,” Journal of Difference Equations and Applications, ... c Applications, vol 256 of Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1993 10 Advances in Difference Equations M R S Kulenovi´ and G Ladas, Dynamics...
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báo cáo hóa học:" Research Article Nonlocal Impulsive Cauchy Problems for Evolution Equations" pot
... nonlocal abstract Cauchy problem in a Banach space,” Applicable Analysis, vol 40, no 1, pp 11–19, 1991 10 J Liang, J Liu, and T.-J Xiao, “Nonlocal Cauchy problems governed by compact operator families,” ... Methods and Applications, vol 63, no 5–7, pp e225–e232, 2005 13 A Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, vol 44 of Applied Mathematical Sciences, ... set and solutions on non-compact domains,” Nonlinear Analysis: Theory, Methods & Applications, vol 69, no 1, pp 73–84, 2008 M Eduardo Hern´ ndez and S M Tanaka Aki, “Global solutions for abstract...
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báo cáo hóa học:" Research Article Multiple Positive Solutions for a Class of Concave-Convex Semilinear Elliptic Equations in Unbounded Domains with Sign-Changing Weights" pdf
... Differential Equations, vol 65 of CBMS Regional Conference Series in Mathematics, American Mathematical Society, Washington, DC, USA, 1986 23 A Ambrosetti and P H Rabinowitz, “Dual variational methods ... Applications, Birkhă user, Boston, Mass, USA, 1996 a 25 H Berestycki and P.-L Lions, “Nonlinear scalar field equations I Existence of a ground state,” Archive for Rational Mechanics and Analysis, ... remark that it follows Lemma 2.4 that M a, b Ω M a, b Ω ∪ M− Ω a, b 3.1 for all λ ∈ 0, Λ0 Furthermore, by Lemma 2.5 it follows that M a, b Ω and M− Ω are a, b nonempty, and by Lemma 2.1 we may...
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báo cáo hóa học:" Existence and multiplicity of positive solutions for a class of p(x)-Kirchho type equations" ppt
... Trans Am Math Soc 348, 305–330 (1996) [20] Cavalcante, MM, Cavalcante, VN, Soriano, JA: Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation Adv ... −∆p(x) u is said to be the p(x)-Laplacian, and becomes p-Laplacian when p(x) ≡ p (a constant) The p(x)-Laplacian possesses more complicated nonlinearities than the p-Laplacian; for example, it is ... Fan, XL, Zhao, D: On the Spaces Lp(x) and W m,p(x) J Math Anal Appl 263, 424–446 (2001) [15] Dai, G, Ma, R: Solutions for a p(x)-Kirchhoff type equation with Neumann boundary data Nonlinear Anal...
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báo cáo hóa học:" Research Article Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like Operators" doc
... Normal University References S Lu, “New results on the existence of periodic solutions to a p-Laplacian differential equation with a deviating argument,” Journal of Mathematical Analysis and Applications, ... & Applications, vol 68, no 6, pp 1453–1461, 2008 B Liu, “Periodic solutions for Li´ nard type p-Laplacian equation with a deviating argument,” Journal e of Computational and Applied Mathematics, ... 2 Advances in Difference Equations It is obvious that under these two conditions, ϕ is an homeomorphism from R onto R and is increasing on R Recall that p-Laplacian equations have been of great...
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Báo cáo hóa học: " Research Article Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable" ppt
... Grazer Mathematische Berichte, pp 43–52, Karl-Franzens-Univ Graz, Graz, Austria, 2004 21 L C˘ dariu and V Radu, A Hyers-Ulam-Rassias stability theorem for a quartic functional equation,” a Automation ... 37 R P Agarwal, B Xu, and W Zhang, “Stability of functional equations in single variable,” Journal of Mathematical Analysis and Applications, vol 288, no 2, pp 852–869, 2003 38 M Kuczma, B Choczewski, ... Mathematicae, vol 50, no 1-2, pp 143–190, 1995 12 T M Rassias, “On the stability of functional equations and a problem of Ulam,” Acta Applicandae Mathematicae, vol 62, no 1, pp 23–130, 2000 13 Z Daroczy...
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