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Existence Principles for Singular Boundary Value Problems of One dimension p-Laplacian

WENG Shi-you1,2, GAO Hai-yin1,2, ZHANG Xiao-ying1,2, JIANG Da-qing1   

  1. 1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China; 2. Applied Science College, Changchun University, Changchun 130022, China
  • Received:2005-12-12 Revised:1900-01-01 Online:2006-05-26 Published:2006-05-26
  • Contact: WENG Shi-you

Abstract: The existence principles of the solution for the onedimension p-Laplacian singular boundary value problem were established by u sing the Schauder fixed point theorem and nonlinear LeraySchauder alterative theorem. It was proved that the solution of the onedimensionp-Laplacian singular boundary value problem is bounded under certain conditions. 

Key words: singular boundary value problem, existence principles, Leray-Schauder alternative

CLC Number: 

  • O175.08