Lin Gong, Xiang Li, Baoxia Qin, Xian Xu
Abstract:
In this article we employ an oscillatory condition on the nonlinear term,
to prove the existence of a connected component of solutions
of a nonlinear problem, which bifurcates from infinity and asymptotically
oscillates over an interval of parameter values.
An interesting and immediate consequence of such oscillation property of
the connected component is the existence of infinitely many solutions
to the nonlinear problem for all parameter values in that interval.
Submitted August 20, 2015. Published October 19, 2015.
Math Subject Classifications: 47H07, 47H10.
Key Words: Global solution branch; fixed point index;
asymptotic oscillation property.
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Lin Gong Department of Mathematics Jiangsu Normal University Xuzhou, Jiangsu 221116, China email: gonglin812@163.com |
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Xiang Li Department of Mathematics Jiangsu Normal University Xuzhou, Jiangsu 221116, China email: lxws3@126.com |
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Baoxia Qin School of Mathematics Qilu Normal University Jinan, Shandong 250013, China email: qinbaoxia@126.com |
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Xian Xu Department of Mathematics Jiangsu Normal University Xuzhou, Jiangsu 221116, China email: xuxian68@163.com |
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