Jozef Banas, Monika Krajewska
Abstract:
The aim of this article is to study the existence of solutions
for infinite systems of differential equations.
We look for solutions in Banach tempered sequence spaces, using
techniques associated with measures of noncompactness, and
results from differential equations in abstract Banach spaces.
Submitted January 3, 2017. Published February 27, 2017.
Math Subject Classifications: 34G20, 47H08.
Key Words: Infinite system of differential equations; tempered sequence;
differential equation in Banach spaces; measure of noncompactness.
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Jozef Banas Department of Nonlinear Analysis Rzeszow University of Technology, al. Powstancow Warszawy 8, 35 - 959 Rzeszow, Poland email: jbanas@prz.edu.pl |
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Monika Krajewska Institute of Economics and Management State Higher School of Technology and Economics in Jaroslaw ul. Czarnieckiego 16, 37 - 500 Jaroslaw, Poland email: monika.krajewska@pwste.edu.pl |
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