A Nonresonance Condition for Boundary Value Problems
We consider the boundary value problem u″ + g(u)u = h(t, u, u′) u(0) = 0, u(π) = 0 with g continuous, periodic, and positive and h continuous and bounded. It is shown that there is a solution if the mean value of g is not the square of an integer.
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| Veröffentlicht in: | Advanced nonlinear studies 2008-11, Vol.8 (4), p.655-662 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | We consider the boundary value problem
u″ + g(u)u = h(t, u, u′)
u(0) = 0, u(π) = 0
with g continuous, periodic, and positive and h continuous and bounded. It is shown that there is a solution if the mean value of g is not the square of an integer. |
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| ISSN: | 1536-1365 2169-0375 |
| DOI: | 10.1515/ans-2008-0402 |