evolution equations for a micromorphic solid

... 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...

Ngày tải lên: 24/04/2014, 16:50

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Ngày tải lên: 13/02/2014, 03:20

... 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 ... 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,...

Ngày tải lên: 18/06/2014, 22:20

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Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 20/06/2014, 22:20

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Ngày tải lên: 20/06/2014, 23:20

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Ngày tải lên: 21/06/2014, 00:20

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Ngày tải lên: 21/06/2014, 00:20

... 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...

Ngày tải lên: 21/06/2014, 00:20

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Ngày tải lên: 21/06/2014, 03:20

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Ngày tải lên: 21/06/2014, 05:20

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Ngày tải lên: 21/06/2014, 07:20

... 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...

Ngày tải lên: 21/06/2014, 11:20

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Ngày tải lên: 21/06/2014, 11:20

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Ngày tải lên: 21/06/2014, 17:20

... 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...

Ngày tải lên: 21/06/2014, 18:20

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Ngày tải lên: 22/06/2014, 06:20