### 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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Goard, Joanna (2006)

Journal of Applied Mathematics and Decision Sciences

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Matsumoto, Hiroyuki, Taniguchi, Setsuo (2002)

Electronic Journal of Probability [electronic only]

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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.

Rudolf Výborný (1991)

Mathematica Bohemica

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We evaluate the Fresnel integrals by using the Leibniz rule only on a finite interval.

Latyshev, A.V., Yushkanov, A.A. (2002)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

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Toyohiko Aiki, Hitoshi Imai (2000)

Czechoslovak Mathematical Journal

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Pilipović, Stevan (1983)

Publications de l'Institut Mathématique. Nouvelle Série

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

Journal of Applied Mathematics and Stochastic Analysis

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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...