By Fernando Casas, Vicente Martínez (eds.)

ISBN-10: 3319069527

ISBN-13: 9783319069524

ISBN-10: 3319069535

ISBN-13: 9783319069531

The booklet encompasses a choice of contributions given on the 23th Congress on Differential Equations and functions (CEDYA) / thirteenth Congress of utilized arithmetic (CMA) that happened at Castellon, Spain, in 2013. CEDYA is well known because the congress of the Spanish Society of utilized arithmetic (SEMA) and constitutes the most discussion board and assembly element for utilized mathematicians in Spain. The papers integrated during this booklet were chosen after an intensive refereeing technique and supply a great precis of the hot task built through varied teams operating as a rule in Spain on functions of arithmetic to numerous fields of technology and know-how. the aim is to supply an invaluable reference of educational and commercial researchers operating within the quarter of numerical research and its applications.

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**Extra info for Advances in Differential Equations and Applications**

**Sample text**

4 4 p 1 /C ; 1 q0 51 2 R depending on d only through N 1 . 4 p 1 /C / q . RN /; p p> N 4 k then for every T > 0 there exists C. / ! 0 as ! RN // Ä C. R N // C. / Ä t N 4 . q1 1 r/ ; 8 0 < t Ä T: Note that different perturbations can be combined together, although not all combinations are allowed. RN / Ä R0 , with pi > 4 Nai , i D 1; : : : ; J . U P Denote P WD i Pi , then for any 1 < q < 1, if maxfai C . i N pi N N /C g C maxf. q; P / . 1 C max4i fai g ; 1/ ai N N containing . q; a/. In particular, if pi D p for all i , all possible perturbations can be combined, since all Pi satisfy (18) and so does P as well.

J. Math. Pures Appl. 93, 474–517 (2010) 7. : A general compactness result and its application to the two-scale convergence of almost periodic functions. C. R. Acad. Sci. Paris I. 323, 329–334 (1996) 8. : The two-scale convergence method applied to generalized Besicovitch spaces. Proc. R. Soc. Lond. A Mat. 458, 2925–2946 (2002) 9. : Homogenization and corrector for the wave equation with discontinuos coefficients in time. J. Math. Anal. Appl. 379, 664–681 (2011) 10. : Homogenization and correctors for the wave equation with periodic coefficients.

Topics in the Mathematical Modelling of Composite Materials. Progress in Nonlinear Differential Equations and Their Applications, vol. 31, pp. 21–43. Birkaüser, Boston (1998) 15. : A general convergence result for a functional related to the theory of homogenization. SIAM J. Math. Anal. 20, 608–623 (1989) 16. : Sulla convergenza di soluzioni di equazioni paraboliche ed ellittiche. Ann. Sc. Norm. Sup. Pisa Cl. Sci. 22, 571–597 (1968) 17. : The general theory of the homogenization: a personalized introduction.

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