Ishikawa iterative process with errors for generalized Lipschitzian and Phi-accretive mappings in uniformly smooth Banach spaces
Xue Zhiqun (2006)
Kragujevac Journal of Mathematics
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Xue Zhiqun (2006)
Kragujevac Journal of Mathematics
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Garsia, Adriano, Haiman, Mark, Tesler, Glenn (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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Raffoul, Youssef N. (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Olusegun O. Owojori (2008)
Kragujevac Journal of Mathematics
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Xingbao Wu (1995)
Annales Polonici Mathematici
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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.
Rafiq, Arif, Acu, Ana Maria, Sofonea, Florin (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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M. Febrero (2008)
Boletín de Estadística e Investigación Operativa. BEIO
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Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Svatoslav Staněk (1993)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Romanov, V.G. (2002)
Sibirskij Matematicheskij Zhurnal
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Jaromír J. Koliha, Ivan Straškraba (1997)
Commentationes Mathematicae Universitatis Carolinae
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The stabilization of solutions to an abstract differential equation is investigated. The initial value problem is considered in the form of an integral equation. The equation is solved by means of the Banach contraction mapping theorem or the Schauder fixed point theorem in the space of functions decreasing to zero at an appropriate rate. Stable manifolds for singular perturbation problems are compared with each other. A possible application is illustrated on an initial-boundary-value...