On the structure of the set of solutions of the weighted Cauchy problem for evolution singular functional differential equations

• Autorzy: Kiguradze I. , Sokhadze Z.
• Języki publikacji: EN

Abstrakty

EN

The weighted Cauchy problem [...] is considered, where [...] is a singular Volterra operator, [...] is a continuous nondecreasing function, positive on (a,b], and [...] is a norm in Rn .The conditions are found under which this problem possesses Kneser's property, i.e., the set of all its noncontinuable solutions is closed and connected in the topology ofthe space [...]. .

Słowa kluczowe

EN

differential equation; singular functional equation; weighted Cauchy problem; set of solutions; Kneser's property; Cauchy problem

PL

równanie różniczkowe; zbiór rozwiązań; zagadnienie Cauchy'ego

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 1998
• Tom: Nr 28
• Strony: 71--92
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Kiguradze I.

autor

Sokhadze Z.

• A. Razmadze Mathematical Institute, Georgian Academy of Science, 1, M. Aleksidze St., Tbilisi 380093, Georgia,