On nonnegative solutions of singular boundary-value problems for Emden-Fowler-type differential systems

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Authors	DOŠLÁ Zuzana CECCHI Mariella MARINI Mauro KIGURADZE Ivan
Year of publication	2007
Type	Article in Periodical
Magazine / Source	Differential Integral Equations
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Emden-Fowler system; nonnegative solution; singular BVP
Description	We investigate boundary value problems for Emden--Fowler type differential systems on a finite or infinite interval. We give the optimal, in a certain sense, sufficient conditions which guarantee the existence of a unique (or at least of one) nonnegative solution satisfying the prescribed boundary conditions. Moreover, the global two-sided estimations of these nonnegative solutions are obtained together with applications to differential equations with p-Laplacian.
Related projects:	Mathematical structures and their physical applications Limited properties of solutions of differential equations