Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (5): 1230-1238.

• Articles • Previous Articles     Next Articles

Nontrivial Solutions of Superlinear Fredholm Integral Equations and Their Applications

 LI Zhi-Long   

  1. Department of Mathematics, Jiangxi University of Finance and Economics, Nanchang 330013
  • Received:2009-10-11 Revised:2010-09-30 Online:2011-10-25 Published:2011-10-25
  • Supported by:

    国家自然科学基金(11161022, 10701040, 60964005)、江西省自然科学基金(2009GQS0007)和江西省教育厅科技项目(GJJ11420)资助

Abstract:

By computation of topological degree the author establishes an existence theorem on nontrivial solutions for superlinear Fredholm
 integral equations in which the nonlinearity is allowed to be sign-changed and unbounded below. Applying it, the author discusses the existence of solutions of Sturm-Liouville problems in which the coefficient function q(t) is admitted to be singular at t=0,1.

Key words: Topological degree, Fredholm integral equations, Nontrivial solutions, Unbounded below

CLC Number: 

  • 34B24
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