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Cauchy不等式及其整体性质
Lagrange恒等式 Cauchy不等式 内积空间
2011/10/10
本文初步总结了Cauchy不等式的多种形式（有限和、级数、积分形式等），给出了Cauchy不等式与内积空间里的Cauchy－Schwarz不等式的一些关系，最后论述Cauchy不等式的整体性质.
Solution of the Cauchy problem for the Navier - Stokes and Euler equations
Solution Cauchy problem the Navier - Stokes Euler equations
2010/12/3
Some known results regarding the Euler and Navier-Stokes equations were obtained by different authors.Existence and smoothness of the Navier-Stokes solutions in two dimensions have been known for a lo...
G. M. N'Guérékata, Corrigendum：A Cauchy Problem for some Fractional
Cauchy problem nonlocal conditions fractional differential equations Krasnoselkii theorem
2009/6/16
We report and correct an error that occurs in our recent paper ‘A Cauchy problem
for some fractional differential abstract equation with nonlocal condition published in
Nonlinear Analysis’.
A CAUCHY PROBLEM FOR ABSTRACT FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Fractional differential equation infinite delay mild solution
2008/11/28
In this paper, we investigate the mild solutions of a Cauchy problem for abstract fractional
differential equations with infinite delay. Several theorems of existence and
uniqueness of mild solution...
NONLOCAL CAUCHY PROBLEM FOR SOME FRACTIONAL ABSTRACT INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES
Fractional abstract integrodifferential equation contraction mapping Krasnoleskii theorem nonlocal conditions
2008/11/28
In this paper we study the existence and uniqueness of solutions for fractional integrodifferential
equations with nonlocal condition in a Banach space. The results
are established by the applicatio...
A NOTE ON SOME CAUCHY PROBLEMS WITH NONLOCAL CONDITIONS
integral solutions integrated semigroups mild solutions Cauchy Problem nonlocal conditions intermediate Banach spaces
2008/11/26
In this short note we prove the existence and uniqueness of solutions to semilinear
differential equations with nonlocal conditions in a Banach space, first in the case of a
nondensely defined opera...