On Asymptotic Solutions of Nonlinear Equations in the Presence of Turning Points
β Scribed by V. P. Maslov; A. I. Shafarevich
- Book ID
- 111579343
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 118 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0012-2661
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π SIMILAR VOLUMES
## Abstract An ordinary differential equation of the type magnified image with parameterΞΎ Ο΅ IR^n^ and smooth coefficients a__~j,a~__ Ο΅ __C^β^__(__[βT,T]__) is studied. It is assumed that all the characteristic roots of the equation vanish at __t__ = 0 while for __t__ β 0 they are real and distinct.
In this paper, we study the asymptotic behavior of solutions to a nonlinear Volterra equation in Banach spaces. First, we deal with the mean point concerning Ε½ . an invariant mean on 0, Ο± for the ''unbounded behavior'' of solutions in a reflexive Banach space. Using the mean point, we obtain the wea