two-point boundary value problems for a class of second-order ordinary differential equations
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2012
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Abstract
We study the general semilinear second-order ODE ๐ข๎
๎
+๐(๐ก,๐ข,๐ข๎
)=0 under different two-point boundary conditions. Using the method of upper and lower solutions, we obtain an existence result. Moreover, under
a growth condition on ๐, we prove that the set of solutions of ๐ข๎
๎
+๐(๐ก,๐ข,๐ข๎
)=0 is homeomorphic to the two-dimensional real space.
| Reference Key |
sengupta2012internationaltwo-point
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|
|---|---|
| Authors | ;Indranil SenGupta;Maria C. Mariani |
| Journal | structural engineering and mechanics |
| Year | 2012 |
| DOI |
10.1155/2012/794040
|
| URL | |
| Keywords |
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