Positive decaying solutions to BVPs with mean curvature operator

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Authors	DOŠLÁ Zuzana MARINI Mauro MATUCCI Serena
Year of publication	2017
Type	Article in Periodical
Magazine / Source	Rendiconti dell'Istituto di matematica dell'Universita di Trieste
MU Faculty or unit	Faculty of Science
Citation
web	https://rendiconti.dmi.units.it/node/4/6500
Doi	https://doi.org/10.13137/2464-8728/16210
Keywords	Second order nonlinear differential equation; Euclidean mean curvature operator; Minkowski mean curvature operator; Radial solution; Principal solution; Disconjugacy.
Attached files	Rendiconti_2017.pdf
Description	A nonlocal boundary value problem on the half-closed interval, associated to differential equations with the Euclidean mean curvature operator or with the Minkowski mean curvature operator is here considered. By using a new approach, based on a linearization device and some properties of principal solutions of certain disconjugate second-order linear equations, the existence of global positive decaying solutions is examined.
Related projects:	Asymptotická teorie obyčejných diferenciálních rovnic celočíselných a neceločíselných řádů a jejich numerických diskretizací