Problem with integral condition for evolution equation

• Autorzy: Kalenyuk P. I. , Kuduk G. , Kohut I. V. , Nytrebych Z. M.

Identyfikatory

DOI

10.7862/rf.2015.6

• Języki publikacji: EN

Abstrakty

EN

We propose a method of solving the problem with non-homogeneous integral condition for homogeneous evolution equation with abstract operator in a linear space H. For right-hand side of the integral condition which belongs to the special subspace H ⊆ L, in which the vectors are represented using Stieltjes integrals over a certain measure, the solution of the problem is represented in the form of Stieltjes integral over the same measure.

Słowa kluczowe

EN

functional analysis; Banach space; evolution equation; integral conditions; differential-symbol method

PL

analiza funkcjonalna; przestrzeń Banacha; równania ewolucyjne; równania różniczkowe

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2015
• Tom: Vol. 38
• Strony: 71--76
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Kalenyuk P. I.

• Lviv Polytechnic National University, Lviv, Ukraine
• University of Rzeszów, Rejtana str 16 C, Rzeszow, Poland

autor

Kuduk G.

• University of Rzeszów, Rejtana str 16 C, Rzeszow, Poland

autor

Kohut I. V.

• Lviv Polytechnic National University, Lviv, Ukraine

autor

Nytrebych Z. M.

• Lviv Polytechnic National University, Lviv, Ukraine

Bibliografia

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