We study the existence of positive solutions asymptotically decreasing towards zero for a system of two coupled second order nonlinear differential equations with p-laplacian operator. Concerning the nonlinearities, neither monotonicity nor sublinearity/superlinearity is supposed, and this fact allow us to consider also the singular case and the forced one. Some special; cases as Emden-Fowler type systems are also considered.
ON DECAY OF COUPLED NONLINEAR DIFFERENTIAL SYSTEMS / M. MARINI; S. MATUCCI; P. REHAK. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - STAMPA. - 12:(2002), pp. 521-533.
ON DECAY OF COUPLED NONLINEAR DIFFERENTIAL SYSTEMS
MARINI, MAURO;MATUCCI, SERENA;
2002
Abstract
We study the existence of positive solutions asymptotically decreasing towards zero for a system of two coupled second order nonlinear differential equations with p-laplacian operator. Concerning the nonlinearities, neither monotonicity nor sublinearity/superlinearity is supposed, and this fact allow us to consider also the singular case and the forced one. Some special; cases as Emden-Fowler type systems are also considered.
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