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DIFFERENTIABILITY OF SOLUTIONS OF THE ABSTRACT CAUCHY PROBLEM
(Universidad Católica del Norte, Departamento de Matemáticas, 2001)
Uma versão abstrata do teorema de Cauchy-Kowalevski
(Universidade Federal de São CarlosBRUFSCarPrograma de Pós-Graduação em Matemática - PPGM, 2013-08-22)
Our main goal in this work is to present an abstract version of Cauchy-Kowalevski theorem and use it to solve the periodic Cauchy problem for the Camassa-Holm equation.
Almost-periodic solutions for a second order abstract Cauchy problem
(Akademiai Kiado, 2005)
Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
(Academic Press Inc Elsevier Science, 2005-07)
Sufficient conditions are found under which the solutions z(t; q) of a semilinear abstract Cauchy problem of the form d/dt z(t) = A(q)z(t) + F(q, t, z(t)) are Fréchet differentiable with respect to the parameter q. An ...
A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems
(Universidad Austral, 2001-08)
A quasilinearization approach to parameter identification in nonlinear abstract Cauchy problems in which the parameter appears in the nonlinear term, is presented. This approach has two main advantages over the classical ...
On well-posedness of the Cauchy problem for the wave equation in static spherically symmetric spacetimes
(IOP Publishing, 2013-10)
We give simple conditions implying the well-posedness of the Cauchy problem for the propagation of classical scalar fields in general (n + 2)-dimensional static and spherically symmetric spacetimes. They are related to the ...
Pre-semigrupos de operadores lineales : problema de cauchy abstracto
(Universidad Nacional Mayor de San MarcosPE, 2013)
En este trabajo se estudia la Teoría de Pre-Semigrupos de operadores lineales en un espacio de Banach, la cuál constituye una generalización de la Teoria de C0 - Semigrupos de operadores lineales. Además se exponen teoremas ...