Article Contents
Article Contents

# On solutions of semilinear upper diagonal infinite systems of differential equations

• * Corresponding author: Józef Banaś

Dedicated to Professor Vicentiu Radulescu on the occasion of his 60th anniversary

• The goal of the paper is to investigate the existence of solutions for semilinear upper diagonal infinite systems of differential equations. We will look for solutions of the mentioned infinite systems in a Banach tempered sequence space. In our considerations we utilize the technique associated with the Hausdorff measure of noncompactness and some existence results from the theory of ordinary differential equations in abstract Banach spaces.

Mathematics Subject Classification: Primary: 34G20; Secondary: 47H08.

 Citation:

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