### Conditions for the integrability of a second order nonlinear differential equation.

V.Lj. Kocic (1980)

Publications de l'Institut Mathématique [Elektronische Ressource]

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V.Lj. Kocic (1980)

Publications de l'Institut Mathématique [Elektronische Ressource]

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Al-Khaled, Kamel (2000)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Chaudhry, M.Aslam, Ahmad, M. (1994)

International Journal of Mathematics and Mathematical Sciences

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Goard, Joanna (2006)

Journal of Applied Mathematics and Decision Sciences

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Minh-Binh Tran (2014)

Open Mathematics

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In this paper, we introduce a new approach for the convergence problem of optimized Schwarz methods by studying a generalization of these methods for a semilinear elliptic equation. We study the behavior of the algorithm when the overlapping length is large.

Morrison, John A., Knessl, Charles (2008)

Journal of Applied Mathematics and Stochastic Analysis

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Marhoune, A.L., Lakhal, F. (2009)

Journal of Applied Mathematics and Stochastic Analysis

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Matsumoto, Hiroyuki, Taniguchi, Setsuo (2002)

Electronic Journal of Probability [electronic only]

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Temur A. Jangveladze, Zurab V. Kiguradze (2010)

Applications of Mathematics

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The nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is considered. The asymptotic behavior as $t\to \infty $ of solutions for two initial-boundary value problems are studied. The problem with non-zero conditions on one side of the lateral boundary is discussed. The problem with homogeneous boundary conditions is studied too. The rates of convergence are given. Results presented show the difference between stabilization characters of solutions...

Yasunari Shidama, Noboru Endou, Katsumi Wasaki (2007)

Formalized Mathematics

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In this article we define the Riemann indefinite integral of functions of real variable and prove the linearity of that [1]. And we give some examples of the indefinite integral of some elementary functions. Furthermore, also the theorem about integral operation and uniform convergent sequence of functions is proved.