Blow-up solutions of quadratic differential systems |
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Authors: | J. Baris P. Baris B. Ruchlewicz |
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Affiliation: | (1) Faculty of Mathematics and Computer Sciences, University of Warmia and Mazury, Żołnierska 14A, 10-561 Olsztyn, Poland |
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Abstract: | The main aim of this paper is to investigate the existence problem for blow-up solutions of quadratic differential systems, Riccati equations, and Lotka-Volterra systems. For this purpose, we introduce the concept of negative and positive blow-up times of solutions of the above-mentioned systems and provide upper or lower bounds for these times. __________ Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 15, Differential and Functional Differential Equations. Part 1, 2006. |
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