Blow-up solutions of cubic differential systems |
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| Authors: | J Baris |
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| Institution: | Faculty of Mathematics and Computer Sciences, University of Warmia and Mazury, ?o?nierska 14A, 10-561 Olsztyn, Poland |
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| Abstract: | We investigate the existence problem for blow-up solutions of cubic differential systems. We find sets of initial values of the blow-up solutions. We also discuss a method of finding upper estimates for the blow-up time of these solutions. Our approach can be applied to systems of partial differential equations. We apply this approach to the Cauchy-Dirichlet problem for systems of semilinear heat equations with cubic nonlinearities. |
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| Keywords: | Cubic differential system Blow-up solution Blow-up time System of semilinear heat equations Cubic nonlinearity |
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