Propagation of micro-analyticity for solutions of pseudo-differential equations. I
نویسندگان
چکیده
منابع مشابه
Analyticity and Nonanalyticity of Solutions of Delay-Differential Equations
We consider the equation ẋ(t) = f(t, x(t), x(η(t))) with a variable time shift η(t). Both the nonlinearity f and the shift function η are given, and are assumed to be analytic (that is, holomorphic) functions of their arguments. Typically the time shift represents a delay, namely, that η(t) = t−r(t) with r(t) ≥ 0. The main problem considered is to determine when solutions (generally C∞ and ofte...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1974
ISSN: 0034-5318
DOI: 10.2977/prims/1195192008