The singular Cauchy problem for systems whose characteristic roots are non uniform multiple
نویسندگان
چکیده
منابع مشابه
A singular abstract cauchy problem.
In this note a singular abstract Cauchy problem is considered. A solution is obtained for this problem in terms of a regular abstract Cauchy problem. As an application we obtain a new solution of the initial value problem for a class of singular partial differential equations.
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satisfies the condition f ρ ∈ Lloc(]a, b]; R). In regular case where f ρ ∈ L([a, b]; R) for any ρ > 0, problem (1), (2) is investigated in detail (see, e.g., [1]–[4], [9], [10] and the references therein). We are, in the main, interested in the case when f ρ is nonintegrable on [a, b], having singularity at t = a. In this case, the problem (1), (2) is singular one. The methods of investigation ...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1977
ISSN: 0386-2194
DOI: 10.3792/pja/1195517890