On the global solvability of a class of fourth-order nonlinear boundary value problems
This paper is concerned with the global solvability of a class of fourth-order nonlinear boundary value problems that govern the deformation of an elastic beam which is acted upon by axial compression, lateral forces and is in contact with a semi-infinite medium acting as a foundation For certain ra...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000343 |
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| Summary: | This paper is concerned with the global solvability of a class of fourth-order nonlinear
boundary value problems that govern the deformation of an elastic beam which is acted upon by axial
compression, lateral forces and is in contact with a semi-infinite medium acting as a foundation For
certain ranges of the acting axial compression force, the solvability of the equations follows from the
coercivity of their linear parts. Beyond these ranges this coercivity is lost. It is shown here that the
coercivity which ensures the global solvability can be generated by the nonlinear parts of the equations for
a certain type of foundation. |
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| ISSN: | 0161-1712 1687-0425 |