Solvability of a Class of Second-Order Quasilinear Boundary Value Problems

YAO Qing-liu

doi:10.3879/j.issn.1000-0887.2009.08.012

Volume 30 Issue 8

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YAO Qing-liu. Solvability of a Class of Second-Order Quasilinear Boundary Value Problems[J]. Applied Mathematics and Mechanics, 2009, 30(8): 990-996. doi: 10.3879/j.issn.1000-0887.2009.08.012

Citation:

YAO Qing-liu. Solvability of a Class of Second-Order Quasilinear Boundary Value Problems[J]. Applied Mathematics and Mechanics, 2009, 30(8): 990-996. doi: 10.3879/j.issn.1000-0887.2009.08.012

Citation:

YAO Qing-liu. Solvability of a Class of Second-Order Quasilinear Boundary Value Problems[J]. Applied Mathematics and Mechanics, 2009, 30(8): 990-996. doi: 10.3879/j.issn.1000-0887.2009.08.012

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Solvability of a Class of Second-Order Quasilinear Boundary Value Problems

doi: 10.3879/j.issn.1000-0887.2009.08.012

YAO Qing-liu

Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, P. R. China

Received Date: 2008-10-11
Rev Recd Date: 2009-06-14
Publish Date: 2009-08-15

Abstract

Abstract

A class of second-order quasilinear boundary value problems was considered when the non-linear term is singular and the limit growth function at infinite exists. By introducing the height function of nonlinear term on bounded set and considering integration of the height function, an existence theorem of solution was proved. The existence theorem shows that the problem has a solution if the integration of the limit growth function has appropriate value.
- quasilinear ordinary differential equation,
- two-point boundary value problem,
- solvability,
- Lebesgue dominated convergence theorem

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References(16)

References

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