Positive solutions of nonlocal continuous second order BVP's
Autoři | |
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Rok publikování | 2014 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Dynam. Systems Appl. |
Fakulta / Pracoviště MU | |
Citace | |
Obor | Obecná matematika |
Klíčová slova | Boundary value problem; second order differential equation; globally positive solution; asymptotic behavior |
Přiložené soubory | |
Popis | 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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