Limiting cases of asymptotically positive linear conditions and solvability of Sturm-Liouville boundary-value problems of Duffing equations
Keywords
Sturm-Liouville BVPs, Duffing equations, limiting cases of asymptotically positive linear conditions, Fučik spectrum, existence of solutions, homotopy continuation methodsAbstract
In this paper we study the solvability of Sturm-Liouville BVPs for Duffing equations by means of homotopy continuation methods. We propose a new kind of solvable conditions on the nonlinear function in the equation. This kind of conditions can be seen as some limiting cases of the well-known asymptotically positive linear conditions. The obtained results generalize and unify some previous results by S. Villegas, T. Ma and L. Sanchez, and Y. Dong, respectively.Downloads
Published
2005-12-01
How to Cite
1.
QI, Huang and YUJUN, Dong. Limiting cases of asymptotically positive linear conditions and solvability of Sturm-Liouville boundary-value problems of Duffing equations. Topological Methods in Nonlinear Analysis. Online. 1 December 2005. Vol. 26, no. 2, pp. 367 - 384. [Accessed 8 February 2025].
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