Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (2): 259-264.

• Articles • Previous Articles     Next Articles

SOLUTIONS FOR SUPERLINEAR (n &minus|1, 1) CONJUGATE BOUNDARY VALUE PROBLEMS

 LOU Ben-Dong   

  1. Department of Mathematics, Shandong University, Jinan 250100, China
  • Online:2001-04-07 Published:2001-04-07
  • Supported by:

    The author is supported in part by NNSF of China and Monbusho Scholarship of Japan.

Abstract:

In this paper, the author investigates the existence of positive and nontrivial solutions for superlinear (n − 1, 1) conjugate boundary value problems by means of topological degree theory and cone theory. The main theorems improve some results published recently.

Key words: Boundary value problems, topological degree, cone, positive solutions, nontrivial solutions

CLC Number: 

  • 34B15
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