Publication details

Positive solutions of nonlocal continuous second order BVP's

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Authors

DOŠLÁ Zuzana MARINI Mauro MATUCCI Serena

Year of publication 2014
Type Article in Periodical
Magazine / Source Dynam. Systems Appl.
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Boundary value problem; second order differential equation; globally positive solution; asymptotic behavior
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Description A boundary value problem on the half-line to a class of second order differential equations is considered. In particular, the existence of solutions which start at the origin, are positive on the real half-line and tend to a nonzero constant as t tends to infinity, is studied. The solvability of this BVP is accomplished by a new approach which combines, in a suitable way, two separated problems on [0,1] and [1,\infty) and uses some continuity arguments.
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