Positive solutions of boundary value problems for second-order singular nonlinear differential equations
O175.8; New existence results are presented for the singular second-order nonlinear boundary value problems u" + g(t)f(u) = 0, 0 < t < 1, au(0) - βu′(0) = 0,γu(1) +δu'(l) = 0 under the conditions 0 ≤ fn+ < M1, m1 < f∞-≤∞ or 0 ≤ f∞+<M1, m1 < f 0-≤ ∞, where f +0= limu→of(u)/u, f∞-= limu-→∞(u...
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Veröffentlicht in: | Applied mathematics and mechanics 2001-04, Vol.22 (4), p.495-500 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | O175.8; New existence results are presented for the singular second-order nonlinear boundary value problems u" + g(t)f(u) = 0, 0 < t < 1, au(0) - βu′(0) = 0,γu(1) +δu'(l) = 0 under the conditions 0 ≤ fn+ < M1, m1 < f∞-≤∞ or 0 ≤ f∞+<M1, m1 < f 0-≤ ∞, where f +0= limu→of(u)/u, f∞-= limu-→∞(u)/u, f0-=limu-→of(u)/u, f+∞= limu→=f(u)/u, g may be singular att = 0 and/ort = 1 . Theproof uses a fixed point theorem in cone theory. |
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ISSN: | 0253-4827 1573-2754 |
DOI: | 10.1007/BF02438315 |